Quantization in riemannian space
Teoretičeskaâ i matematičeskaâ fizika, Tome 16 (1973) no. 3, pp. 419-422
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From general quantum-mechanical requirements, expressions are obtained for the momentum and kinetic energy operators in Riemannian space. The results enable one to simplify the deriration of the Schrödinger equation in generalized coordinates from the classical Lagrange function. An asymmetric top is considered as an example.
@article{TMF_1973_16_3_a13,
author = {P. V. Elyutin and V. D. Krivchenkov},
title = {Quantization in riemannian space},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {419--422},
year = {1973},
volume = {16},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1973_16_3_a13/}
}
P. V. Elyutin; V. D. Krivchenkov. Quantization in riemannian space. Teoretičeskaâ i matematičeskaâ fizika, Tome 16 (1973) no. 3, pp. 419-422. http://geodesic.mathdoc.fr/item/TMF_1973_16_3_a13/