``Classical'' equations of motion in quantum mechanics with gauge fields
Teoretičeskaâ i matematičeskaâ fizika, Tome 92 (1992) no. 1, pp. 41-61
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For the Schrödinger and Dirac equations in an external gauge field with symmetry group $SU(2)$, we construct to any degree of accuracy in powers of $h^{1/2}$, $h\to0$, approximate dynamical states in the form of wave packets – semiclassical trajectory-coherent states. For the quantum expectation values calculated with respect to these semiclassical states we obtain for the operators of the coordinates, momenta, and isospin of the particle Hamiltonian equations of motion that are equivalent (in the relativistic case after transition to the proper time) to Wong's well-known equations for a non-Abelian charge with isospin $1/2$.
@article{TMF_1992_92_1_a3,
author = {V. V. Belov and M. F. Kondrat'eva},
title = {``Classical'' equations of motion in quantum mechanics with gauge fields},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {41--61},
publisher = {mathdoc},
volume = {92},
number = {1},
year = {1992},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1992_92_1_a3/}
}
TY - JOUR AU - V. V. Belov AU - M. F. Kondrat'eva TI - ``Classical'' equations of motion in quantum mechanics with gauge fields JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1992 SP - 41 EP - 61 VL - 92 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1992_92_1_a3/ LA - ru ID - TMF_1992_92_1_a3 ER -
V. V. Belov; M. F. Kondrat'eva. ``Classical'' equations of motion in quantum mechanics with gauge fields. Teoretičeskaâ i matematičeskaâ fizika, Tome 92 (1992) no. 1, pp. 41-61. http://geodesic.mathdoc.fr/item/TMF_1992_92_1_a3/