ON THE RELATION BETWEEN QUANTUM HYDRODYNAMICS AND CONVENTIONAL QUANTUM FIELD THEORY
Keyword(s):
The conditions are examined under which the procedure of quantum hydrodynamics would be a consequence of the conventional quantization procedure, and vice versa. Using the classical nonrelativistic theory of a charged medium as an example, it is shown that the commutation rules of the two procedures differ by a factor 2, if in accordance with an idea by Geilikman the wave function of the classical theory is expanded as ψ = ψ0 + ψ1, with ψ0 a constant and [Formula: see text], and if terms of higher than second order in ψ1 are neglected in the hydrodynamical description of the theory.
Keyword(s):
2019 ◽
Vol 34
(23)
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pp. 1950186
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Keyword(s):
1995 ◽
Vol 450
(1939)
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pp. 417-437
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2017 ◽
Vol 14
(08)
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pp. 1740008
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Keyword(s):
2002 ◽
Vol 17
(32)
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pp. 4939-4945
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