Classical and Quantum Dispersion Relations
Hojman
S
A
author
Asenjo
F
A
author
2020
English
It is showed that, in general, classical and quantum dispersion relations are different due to the presence of the Bohm potential. There are exact particular solutions of the quantum (wave) theory which obey the classical dispersion relation, but they differ in the general case. The dispersion relations may also coincide when additional assumptions are made, such as WKB or eikonal approximations, for instance. This general result also holds for non-quantum wave equations derived from classical counterparts, such as in ray and wave optics, for instance. Explicit examples are given for covariant scalar, vectorial and tensorial fields in flat and curved spacetimes.
Quantum Hamilton-Jacobi equation
Bohm potential
dispersion relation
WOS:000543208700001
exported from refbase (show.php?record=1184), last updated on Sat, 01 Aug 2020 14:57:39 -0400
text
10.1088/1402-4896/ab986b
Hojman+Asenjo2020
Physica Scripta
Phys. Scr.
2020
Iop Publishing Ltd
continuing
periodical
academic journal
95
8
7 pp
0031-8949