Bestand wählen
Merken

# String Theory and M-Theory | Lecture 6

Embed Code
DVD bestellen

#### Automatisierte Medienanalyse

Beta
Erkannte Entitäten
Sprachtranskript
Stecher University OK so the
Islamic strings of been part of the subjects almost a beginning quite beginning and as said they saw off 2 important problems prefer Barrow figure firmly on us and they get rid of the backyard they leave you with penned by mentions instead of 26 so they don't solve that problem that problem turned out to be less of a problem with more of a feature feature good future people expected occupiers are mobil contoured merits a subject known as compact the occasion taking the extra dimensions and doing something with them to make them not purist or mile mark euros an interesting feature of theory or come to act on how well not to talk about a little better it it was not really historical but Of the scattering of strings a subject really began with studying scattering of particles elementary particle physics was always about scattering of particles not because it's the most interesting phenomena of it can happen if not adult you send some particles together and Barger junk comes out we're all sorts of directions but about all we can do with way Express and so we try to unravel from the scattering beta what was going on inside the collision inside the collision of course means the properties of particles so for so the natural Hong full of experiment the scattering and the natural thing that if he restored Vasquez if I have a theory of particles how do you compute the scattering amplitudes scattering amplitudes 4 was a scattering amplitude scattering amplitude you have some incoming particles part of your incoming information that I have time this way and I horizontally and vertically a wide variety of articles coming in something happens inside a black box and particles go out not necessarily the same number of particles the particles come and carry moment of course a carry other things that can be every charge they carry labels like for example of a new honors failure are or ever have Bob let's simplify story and not everything except the moment particles come in and they carry former mayor from 4 momentum means Energy and Commerce the strike Iowa for rector of energy momentum is the energy and the 3 components of momentum of authority in 26 dimensions we are 25 components he August or account for them for vector of wrote the 1st of 4 vector each particles Harris a woman the owner cause Katie Katie New cross from 1 before far from before excused from 0 to usually course 0 1 to 3 the components of moment now well you know all about the components of 4 components of momentum or particle may have something to do with the mass of a particle of course they are the energy and what's the relationship between energy and momentum match for wrote the particle remember see is 1 we will take wire he called warned what city connections between the components of energy moment the mayor Hey squared a square equals P. squared plus and squared also whatsoever following way he squared minus be squared equals M Square and just look forward to keep notation consistent where notations of physicist for many many years I'm going to write this as peace squared minus he squared equals of minors and square same formula I've just taken the negative rubber now that can also
be written in terms of the components of Katie in terms of component of Katie Earth's came not squared sorry it's came back squared minus Katie North square North standing for the time component each spatial component squared minus the prime component square is is often just called case squared just garlic a square left inside here it is a square by definition definition of a relativistic square of record it's called POP mural for cerebral Friday let's just call case squared space component squared minus harm comport square but called
case quotas and fled every particle K squared is a minus M Square you can't Mary Kay square Of course squared consist of the energy and the momentum when you say you can vary case square doesn't mean you can vary the momentum it means when you know the momentum the energy varies in a certain way and the way the various that square feet square off Cape Cod North square my case they squared equals square so it match were 1st phase of our valued by collisions is just about particles you characterize them are therefore moment 3 components of which are independent before component must be subject to this constraint now play a bunch of moment there but callers Katie 1 from fresh particle wasn't aware label them a key of Fisher Street yacht thinker called was worth OK warned us told them going on here quietly incoming moment can be unwilling to call the outgoing moment Q. What is also a former back work or to free Hugh form what very simple case in which 2 particles Goto particles Q 4 these particles from the in particles go out how do you represent momentum conservation of momentum and energy conservation momentum and energy conservation or simply bad OK want Pocekay too fast for vectors is a quota Q three-course Q 4 all compartments space components fine momentum conservation the current components of foreign energy conservation OK now because of the perversity of physicists what physicists like to do is redefined outgoing momentum and think other a common woman not crazy the outgoing member not going in common with the incoming but they don't all we really have to do to make it symmetric with respect the incoming and outgoing moment just take each Q. What queue changes signed an accord with Katie when pay it that means changing the sign of its energy needs changing sign of all of its momentum it at say trekked to be able to write this is a symmetric form instead of writing K 1 Seward here's warriors K 1 escape through minus Q 4 of 4 minus Q 3 equals now becomes KEY escaped to ask a free pass K for equals 0 you treat all particles as coming but you have to remember that the label for the outgoing particles as labeled with my miss actual moment Maria Court particle but once you do so momentum concentrations completely symmetric between the 4 between 4 articles a youthful track a useful trick that keeps labeling especially persistent Norris that when you change the sign of a momentum to redefine the momentum of a minus sign it does not change the fact that the square of the moment the music with the miners and squares so we have in this particular process we have for a moment more was all while a car although the energies Of course there may be negative for the outdoor ones each 1 of them subject to this constraint we question whether physicist were asked about this collision is what Izzy amplitude was the probability of they may have put those things square complex numbers you square defined the probability format coercion but the of functions on a number of variables a function or a probability for the coercion is a function of the moment of the incoming particles as a function momentum of the outgoing particles sort of function Ava Katie's but Scott amplitude Bingley's square as a function of all of the cases K 1 2 33 cared for butter some rebound information via bus full about because of a 2nd of all the square of each case has delayed to work minus where sows really too many variables here from many independent variables family independent variables are great 5 it before we impose any constraints each momentum has 4 variables this was for for 8 before is 12 for Morris 16 that's all are variables was going to depend on what should at least you really don't depend on that many variables let's think about physically now comedy variables a scattering amplitude or scattered across the and well the 1st thing you can do is without comment got off you can you always relativity go a frame of reference where the sent of mass where a center of mass is at rest other words with tour make to space components of a momentum are equal and opposite 2 you could always do that if the particles both moving down the z-axis well you just move fast enough to be halfway between them if they also happen to be moving in some of the direction does move in that direction you could always go toe a frame of reference where the particles are equal and opposite the space component Samoa was a special moment that next you could always we want to the system so the moment the upcoming Ian along the x-axis what's left over in the initial state was a depend on if you not at the moment are equal opposite what dissolving depend on and only the pair was initial state and on the initial state only depends on the magnitude of the moment from Apple Manitoba square of a moment I'm sorry the magnitude of the need for a vector before that passed out magnitude M Square but magnitude of the speech moment or the energy if you like what you got past the only thing left over is the total energy of the collision In center of mass frame so that's 1 thing each center of mass not surpass that are particles or all of the same kind of simplicity of particles collide what do you
of it is just the square of the center of mass energy sorry this quantity here which is called a s just call minus X is nothing but a square of the domestic energy what Garrett more the center of mass energy white it is sent don't mess frame misses you wrong and this is just a part of low-energy so my acid is just a square of to square the their strategy Squilla center less energy recalled acts now you think of any other variants that you couldn't go How about Katie 3 plus squared we took a warrant was paid to squared about 3 posted square that's a say their because K 1 takeover is might escape 3 costly for energy conservation so we'll get OK wanted cost Kato square was saying was Rico Foursquare Betsy energy minister says that the energy in the initial stages same 0 unify what about K 1 plus free square that could be something new so let's see what it was but Celia figure out what K 1 class 3 squares working in the center of mass right in the center of mass frame or other particles in an hour have the the same total energy have the same energy each part accords articles just scattered through an angle or so what happens saw the Conte and they go out with the same energy but or mangled all so let's take K 1 plus 3 square Net Irish care what force K 3 square Case 3 squared warned K 3 square How about this for the Shire reference Jason escape through a former back from Harper our a bigot what articles have Australia energy incoming territory or ignore Scarborough yet 0 0 1 0 1 twice Katie warned force theology got because K 3 and K we flew up the sign on them so and this is just K 1 plus 3 square so to with batters comes in particle morning comes in and of course also particles but particle free goes Our would part 3 1 goes in 3 goes our but if we all label these particles were Katie's Katie 1 much cause for now Q Q 3 maker outgoing particle than really what this is is it K 1 minus Q 3 square it's really the difference Of the momentum of the incident particle and the final particle is called the momentum transfer some momentum transferred if you with the thank God particle particle as same species apart then it would just be a college and some momentum transferred from 1 of the 3 being as a momentum transfer end about the momentum transferred from 1 of 3 of momentum transfer it could also be expressed in terms of the angle scattering Co you Europe 4 euros before Iraq before K want free squarish rears it's just twice energy square square mile relay would die water the energy of theology VS variable twice square square the center Matt kind 1 minus the cosine of the angle of scattered this is the interesting thing he be angle scattering angle between 1 and 3 K 1 comes eaten Q 3 goes out the particle gets deflected through an angle of that deflection angle years later the
deflection angle of a particle but between the incoming state and Short Street and that's what's here while that interest will call measured and express you put detectors in different places you scour particles and you find out of probability for them to get deflected tho angle at different values of the G this variable K cost a lot to us we do it I'm sorry we made our definition of S erase the ACS over here the definition of S was K 1 cross Kato squared how was the definition of 1 plus 2 0 coming in there was a square of the center of mass energy asked equals Energy amassed swear they want 3 square that called graduate may pick up a meeting for it but she has called pay February get trapped hot and that is some combination of energy and momentum transfer at the center of mass energy squared minus the mass squared Biggio weary or MMS a years trying 1 minus call sign Of the angle scattered I so we have K 1 plus take 3 squared How much Kato Pozsgay squared different but go back after he s K 1 plus case the regime is In this case to costly for took a 1 Kato squares same escaped recourse Foursquare fossil another combination we have a wander escape till we have K 1 escape 3 Gaylawn posted for right but some are ordered so a one-off quantity K 1 plus K 4 square what can that be well while I really do and maybe will caught my arm Cheney K 1 skate 3 square your mind to because busily T you variables about what's going on he only 2 quantities that Lee scattering depends on energy and angle of scattering we're seeing that 3 independent things only answers are not 3 independent if you use the momentum conservation and use a fact that each case squares and square what you'll find is best course keep plus you'll is equal Tom ideas forum square or something like that as a constraint among you're not free independent won only 2 days earlier so interesting quantities of food warn is dependent bomb your who did he considers that dollar the word that here just say there should be a closer sure back actor where's participate cycle With source with me there is no period that is so they are going to Eurostat if not for the fact that while got out it could be years her possible world were back you purchase it was not our world Our momentum conservation says the particles are arms Bamberger retracted I want a phased that that that's what if I said I did a lot now that frames the find of the frame with the moment door equal amount at the moment that recall opposite the energies of particles if messes are now is together but I have to go out equal and opposite for momentum conservation young so that why these variables S T N you Bureau warned which is where called Mandelstam variables and that very
symmetrically defined most Mandelstam man also varying can't Cleo active physicist Berkeley this notation columns from the early sixties vary early sixties Mandelstam variables end notice with that but they have they have this beautiful symmetric structure that's what's interesting about there's no let's not talk about finding Byram's for moment not just tell you the answers for certain farming diagrams let's suppose 2 particles collide this is a fight with Barbara create a particle of a different bastion here of course capital M Mars particles go out like what I was commended for finding diagrams coming together they cast a form 2nd article or 3rd article wherever and then that particle decays grows out of defined by agree that finding diagram has a value I'm going to tell you what it's a product of 2 cops cars as always coupling constants environment by Iran's and that is the propagator of a particle in between and that is a very simple form 1 provided by yes minus capital and squared it has also AT yacht best my best Maria's capital and that's they can restrict structure of a scattering airport to widow particles come together and merge and former apart not as it's a function on St energy possibly energy of across it doesn't depend on TU doesn't depend on the other Our who variable you won't want depends on the other variable you draw a similar diagrams accepting which instead of wanting to emerging you have draw over here wanted and free emerges but I want to prove 3 4 it looks aren't exactly the same diagram turned on its side but represents a very different kind of physical process 1 until come in exchange of particle between them and then go our and for get happy guests B and with food for this process strategy square-rigged energies of vertices exactly our team minor some squared Mayor could not identify the process which will be won over might squared would look like this are 1 Our there was a little hard to draw warned like there's 1 in and full emerge wanted for merge Luria Switzer lines like that but to ignore it it's there it's there it's important but there are a still a lot to draw a line drawn across it after then I haven't think it just a question which particles came together and I hate drawn crossed lines of a black or but there is principle Khmer 1 this 1 depends only on energy president and the angle of scattering altogether he complains the angles scary editors only a functional that means we must process happens it would just say that doesn't depend on angle scattering means every angle scattering is equal equally probable the particles growing have equal probability of getting deflected tho Haiti Engel whatever that odd but that Is the property part of the reason was simple the particles coming from some direction they form this compound state and only DKB they've forgotten which direction they came in from so can't they form the composite composite decays into case of arbitrary angle on correlated initial direction that's process here this 1 is different it depends on the energy but also on the angle of scattering this is 1 the depends on your scattering and if you work out it's easy see that it favors for awards favor small angle scattering this favors larger angles so this 1 Panzano angle and this 1 but not this past summer the 2 expressions on a real symmetry between their effective to a big change S he scattering doesn't change the property of relativistic scattering amplitudes that they have this kind of symmetry face-off get which will be a coming in which would be our outgoing particles but only if you expressed it in terms of these kind of in very good so now we have some basic idea of what is that a theoretical physicist once the computer about a model of particles that compared not because he's so interested but the thing that he can give to the experiment Boston's measure the probabilities of scattering of a function of energy so poor and use my prediction or say they that seeing you she follows this can what show we still have a lot of value shift about 50 of them Vermeer angles Gabbard right so if all it was there was yes this favors small angle scattering and RB not from didn't make it less likely will privacy White far bigger period the 3rd as there are where are well with stated was if he had a very murderer vibrant but if there was a process in which 1 4 could come together and do the same thing we would want produce squared world or normal human because we are yard they're connected Young the volume OK so what as you what's interesting you musical to ease center amassed square where squared terms 1 armed a hot 1 plus cosigned later but sure but so Miklos related if you're not s tsunami energy that but you also TEU nor the angle of scatter and this is just a function of years union angle scattered stroke Java Norway's say it is if you ass and New York cancel out the angles together look at just a function of
course turned out b Strang theory is adventure and discovery of string theory was just looking for a physical model which would give whose answers were to answer for scattering River 2 mayors on his or were 2 particles for now to tell you what Our without a lot of drama what physical model whose rise through scattering recurred Chiluba of durable argued warning through it arms it was very hard to guess where Ms. was furious strings Murray wasn't too hard just because of her that so you she said exchange for forces visitors you could be as chairman future exterior of direct production exchange sometimes called the direct channel and cross-check PS channels called direct channel was a direct particles clean call arrest may out the question always wary of particle jumps across from 1 side or another Krause show you what her physics Our are left for you begin auto strings and nothing good calculation must show you everything away into it it's a little bit go tedious redacted nor differ nor lot about harmonic oscillators for nothin much more Soweto strings he a strength now not remember the growing Harris 8 call along it which we called it let's Strother the 2nd axis over here from stigma from Xerox here's a strengthening but the still propagates Klein let's time I was operated his and string at segment equals 0 0 right Eagles pieties all open strings now still cause moves around the space but also is located between 0 and party stop spatial position just bird parameter along restrained if the of the string of particles of may give up in here each point in the history of the string think stringers sweeping along to sweeping along from space time she called a World worldwide each point that will she was characterized by point stigma and a time which has called how power resist White Pine and where a coordinate along the stretch my real spatial coordinator star label for points along the strained Howl is this time that we used previously our in for the moment the kind of that's support point is that idea Our a world line becomes a world sheet and so being programmer tried by a single valuable how it's now Parma trumpet-wood herbal each point year as a position is based on X next meal just X already worked out what the equations of motion on X are Mayorga wave equations describing we moving are pronounced wave equation right 2nd ex by power squared minus these acts by squared equals 0 as the
and Leandro Ericha every red red meat or could you read it but that urea now that's initial state but this was some probability 208 points merge because I wanted to end points simply says you set X who want a sorry X is equal to X's course warned you look for that piece of the wave function with the toe and points exactly the the same pouring sorrow you begin with this next that was to say let's be if particle on the 1st James at exactly the same place as plus sorry as thanks to be of the same places irksome coursework fossil problem here X and Beaulieu I was left unchanged that's now not that's the wave function of the state right at the port after 2 particles of coal ash when Mayor coalesced point where call us to come together nothing happens for the rest of the chain but the 2 particles so this is if you like the amplitude particles cheese Koch the input to 2 particles the endpoints touched now I have a new starting point which is a function of X 1 through X 2 and it's a state of that many particles don't know that we have to eat involved we have to Ieave using the Hamiltonian Nomura Hamiltonian there's a Hamiltonian is a friend which operates you from 1 conclude next so you can't this initial state but still well-defined framed annual propagated forward in time using the Hamiltonian again Webster right rule for our bigger state from 1 from an instant will you multiply the state or something sneakily are aged eatery I did think this wave function annually Volvo you saw this floating equation for it but sources say there's more multiplying it by equally I toggle Hamiltonian times however was still Hamiltonian that I cannot only is all is just a collection of brings messed points of harmonic oscillators with just a collection of harmonic oscillators real had reduced and that gives us a state of the system at the time sheet what's the last step it is a project of final state security on 2 2 separate particles again projected onto a state with 2 separated particles of momentum K 3 and K 4 it's very very straightforward if tedious fiery PDF you take the total initial states particles well-defined ground state calls you just that the and points at the same place where constrains the wave function you let it be involved as a single strained and then you have a break up again and that's simply means multiplying it again by some final state roll out same kind of things and that gives you a transition to make a long story short you start with 2 particles you could strain that's over there the same place you Volvo and then you projected onto the final stretch of very very well-defined that gives you beat amplitude rat astray for amount power behalf you choose panel sustained in black player and all those who have them separate systems each having its own word from new more quite creep away from from Harvard Lucy a function of can't positive too articles to begin with you got set that 1st particle recalled last particle here then you look funny and airport you look for the peace of the wave functions where those 2 particles are saying place you say I know the same place fused together and as if it were a single strength a single collection of man's points and spring but not the kind power and they basically take years is a just copy Yucaipa spring in the middle and we've all that the back calculation is quite doable not even really hard it's just too much for the blackboard for a 4 1 4 1 evening value of answers but the walk arrived guarantee answer for your or that Berger murmur Is there a little will over week how do we say that we develop our aggressively and whether we integrate with power referee why we may end up being hampered truthful possible crimes this calm posit Group this is a fight of summing or breweries the only parameter here Hi I'm takes photos of the break up again and find his rollers some are all pairs which in this case just means the great over time that they spend Prodi evolving together and that gives you the amplitude for particles to particles in the initial state to become the particles finals but the result was an integral see it that way all time to spend together I'll tell you what the Indigo and after a a certain amount of calculation which is actually another hard it becomes grow our E. Howell west of Fort Collins as plus 1 is as fast is exactly this as its fleet as variable August center of mass squared of energy of the 2 particles you have a factor like that you have another factor which is 1 of my ears he Europe Powell through minus team minus 1 feed was a momentum change between initial particle here a particle here remember those Mahmoud Khalil this wave function whichever erased your coated in the wave function and kind of those exponential initial among our starters and less energy and here's the momentum transfer it appears before and they have the integrated be but that was to be another factor I think of Etowah miners tower near the Grand you're right because like this virus that Jack Clark offers 1st talent as what yes but uh yes yeah that's where get trait that plus he added but were observed by the a lot of them are and about
pleads visit and up steam Dr.
Magnetisches Dipolmoment
Masse <Physik>
Stringtheorie
Impulsübertragung
Blackbox <Bordinstrument>
Computeranimation
Teilchen
Dschunke
Amplitude
Array
Steckverbinder
Verpackung
Lichtstreuung
Elektronisches Bauelement
Rauschzahl
August
Elementarteilchenphysik
Eisendraht
Schlagwerk
Gleichstrom
Jahr
Fluidität
Ersatzteil
Betazerfall
Leistungsanpassung
Walken <Textilveredelung>
Magnetisches Dipolmoment
Masse <Physik>
Kraftfahrzeugexport
Bergmann
Impulsübertragung
Jacht
Computeranimation
Teilchen
Prozessleittechnik
Schwingungsphase
Bildfrequenz
Kopfstütze
Fuß <Maßeinheit>
Passfeder
Amplitude
Array
Verpackung
Konzentrator <Nachrichtentechnik>
Lichtstreuung
Relativistische Mechanik
Kaltumformen
Pulsationsveränderlicher
Windrose
Elektronisches Bauelement
Omnibus
Energieeinsparung
Gleiskette
Band <Textilien>
Formationsflug
Übungsmunition
Angeregtes Atom
Tonbandgerät
Gleichstrom
Scheinbare Helligkeit
Zwangsbedingung
Walken <Textilveredelung>
Magnetisches Dipolmoment
Masse <Physik>
Maßstab <Messtechnik>
Postkutsche
Koppelgetriebe
Teilchen
Avro Arrow
Bildfrequenz
Passfeder
Vorlesung/Konferenz
Stunde
Array
Morgen
Verpackung
Lichtstreuung
Relativistische Mechanik
Pulsationsveränderlicher
Elektronisches Bauelement
Energieeinsparung
Rauschzahl
Higgs-Teilchen
Übertragungsverhalten
Druckkraft
Übungsmunition
Schiffsklassifikation
Angeregtes Atom
Werkzeug
Nassdampfturbine
Weiß
Jahr
Scheinbare Helligkeit
Ersatzteil
Relais
Anstellwinkel
Leistungsanpassung
Holzfaserplatte
Wärmeaustauscher
Summer
Magnetisches Dipolmoment
Bombe
Masse <Physik>
Verbunddampfmaschine
Kraftfahrzeugexport
Sensor
Dreidimensionale Integration
Jacht
Leitungstheorie
Computeranimation
Teilchen
Umlaufzeit
Marsmond
Prozessleittechnik
Bildfrequenz
Kristallgitter
Neutronenaktivierung
Amplitude
Kaltumformen
Großkampfschiff
Relativistische Mechanik
Lichtstreuung
Pulsationsveränderlicher
Waffentechnik
Kombinationskraftwerk
Tag
Wirtsgitter
Rotverschiebung
Übertragungsverhalten
Übungsmunition
Angeregtes Atom
Weiß
Ziegelherstellung
Gleichstrom
Onkotischer Druck
Jahr
Source <Elektronik>
Modellbauer
Ersatzteil
Initiator <Steuerungstechnik>
Anstellwinkel
Wärmeaustauscher
Feinstblech
Magic <Funkaufklärung>
Channeling
Magnetisches Dipolmoment
Kraftfahrzeugexport
Stringtheorie
Bergmann
Fehlprägung
Bildqualität
Grundzustand
Leistungssteuerung
Teilchen
Umlaufzeit
Discovery <Raumtransporter>
Prozessleittechnik
Trenntechnik
Kopfstütze
Fuß <Maßeinheit>
Vorlesung/Konferenz
Amplitude
Tagesanbruch
Verpackung
Lichtstreuung
Feldstärke
Floß
Entfernung
Waffentechnik
Kombinationskraftwerk
Koerzitivfeldstärke
Wirtsgitter
Sinterkörper
Flasche
Druckkraft
Nivellierlatte
Werkzeug
Angeregtes Atom
Tonbandgerät
Weiß
Gleichstrom
Jahr
Modellbauer
Frequenzumrichter
Zentralstern
Anstellwinkel
Erder
Greiffinger
Mechanikerin
Fehlprägung
Grundzustand
Leistungssteuerung
Leitungstheorie
Woche
DVD-Player
Prozessleittechnik
Kette <Zugmittel>
Steinbildhauer
Powell, Kleinschmidt Inc.
Vorlesung/Konferenz
Wasserfahrzeug
Amplitude
Randspannung
Parametrischer Verstärker
Abwrackwerft
Theodolit
Feldstärke
Längenmessung
Aschenwolke
Abend
Xerographie
Übertragungsverhalten
Übungsmunition
Angeregtes Atom
Werkzeug
Kontinuumsmechanik
Atmosphäre
Jahr
Feldquant
Lineal
Kugellager
Starter <Kraftfahrzeug>
Windpark
Feinstblech
Masse <Physik>
Verbunddampfmaschine
Bergmann
Stringtheorie
Chirp
Begrenzerschaltung
Teilchen
Druckmaschine
Hochspannungsmast
Phototechnik
Schalttafel
Kopfstütze
Walzmaschine
Brechzahl
Volvo Group
Windrose
Gruppenlaufzeit
Lenkflugkörper
Küchenmöbel
August
Raumfahrtzentrum
Negativer Widerstand
Gummifeder
Source <Elektronik>
Buntheit
Ersatzteil
Initiator <Steuerungstechnik>
Feinkohle
Juli
Messung
Fahrzeugsitz
Channeling
Bombe
Treiberschaltung
Photonik
Störgröße
Leistungssteuerung
Kernreaktor
Photon
Küchenmaschine
Abraumkippe
Prozessleittechnik
Trenntechnik
Vorlesung/Konferenz
Amplitude
Kugelstrahlen
GIRL <Weltraumteleskop>
Eisenkern
Konzentrator <Nachrichtentechnik>
Kaltumformen
Lichtstreuung
Pulsationsveränderlicher
Elektronisches Bauelement
Übertragungsverhalten
Gleiskette
Weiß
Atmosphäre
Jahreszeit
Jahr
GAL <Mikroelektronik>
Lineal
Windpark
Analogsignal
Feinstblech
Garn
Magic <Funkaufklärung>
Masse <Physik>
Kraftfahrzeugexport
Pulvermetallurgie
Bergmann
Stringtheorie
Dreidimensionale Integration
Teilchen
Hochspannungsmast
Umlaufzeit
Digitalschaltung
Emissionsvermögen
Winter
Stunde
Steckverbinder
Raumfahrtprogramm
Waffentechnik
Windrose
Kombinationskraftwerk
Antiquark
Gruppenlaufzeit
Kiesabbau
Wirtsgitter
Nivellierlatte
Gleitsichtglas
Negativer Widerstand
Schiene
Gleichstrom
Ziegelherstellung
Mikrowelle
Absorption
Ersatzteil
Mittwoch
Computeranimation