What is it about?
The crossover from classical to quantum charged-particle beam description is here presented
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Why is it important?
It is important because it allows to try to construct a descrition of charged-particle beam which is more fundamental and try to see a continuation between the quantum-like description (in the thermal regime, i.e., thermal emittance) and the more fundamental quantum description (fundamental emittance, i.e., compton wavelength.
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This page is a summary of: Wave theories of non-laminar charged particle beams: from quantum to thermal regime, Journal of Plasma Physics, January 2014, Cambridge University Press,
DOI: 10.1017/s0022377813000913.
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