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Hohenberg-Kohn-like theorems for current densities

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Hohenberg-Kohn-like theorems for current densities
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29
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CC Attribution - NonCommercial - NoDerivatives 4.0 International:
You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
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We here discuss Hohenberg-Kohn-like theorems for systems with magnetic fields where different current densities are used together with the particle density. The situation is much more complicated than the case of no magnetic field, a fact that we further explore.