QUANTIZATION IN RIEMANNIAN SPACE

被引：3

作者：

Elyutin, P. V. ^{[1
]}

Krivchenkov, V. D. ^{[1
]}

机构：

[1] Moscow State Univ, Moscow, Russia

来源：

THEORETICAL AND MATHEMATICAL PHYSICS | 1973年 / 16卷 / 03期

关键词：

D O I：

10.1007/BF01042434

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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 derivation of the Schrodinger equation in generalized coordinates from the classical Lagrange function. An asymmetric top is considered as an example.

引用

下载

页码：939 / 944

页数：6

共 50 条

[41] VECTOR POTENTIAL AND RIEMANNIAN SPACE
LANCZOS, C
FOUNDATIONS OF PHYSICS, 1974, 4 (01) : 137 - 147
[42] A universal Riemannian foliated space
Alvarez Lopez, Jesus A.
Barral Lijo, Ramon
Candel, Alberto
TOPOLOGY AND ITS APPLICATIONS, 2016, 198 : 47 - 85
[43] AREA OF A HYPERSPHERE IN RIEMANNIAN SPACE
FUSARO, BA
AMERICAN MATHEMATICAL MONTHLY, 1973, 80 (02): : 179 - 184
[44] Riemannian metrics on Teichmuller space
Habermann, L
Jost, J
MANUSCRIPTA MATHEMATICA, 1996, 89 (03) : 281 - 306
[45] Solvability on Riemannian symmetric space
Daher, R
BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE, 1999, 127 (03): : 349 - 362
[46] CONGRUENCES OF CURVES IN A RIEMANNIAN SPACE
RASTOGI, SC
TRIVEDI, HKN
DOKLADI NA BOLGARSKATA AKADEMIYA NA NAUKITE, 1972, 25 (10): : 1315 - 1318
[47] Towards a Riemannian geometry on the path space over a Riemannian manifold
Enchev, O
Stroock, DW
JOURNAL OF FUNCTIONAL ANALYSIS, 1995, 134 (02) : 392 - 416
[48] DIRAC MATRICES IN RIEMANNIAN SPACE
FLETCHER, JG
NUOVO CIMENTO, 1958, 8 (03): : 451 - 458
[49] The Riemannian Space of Kahler Metrics
Kolev, Boris
COMPLEX MONGE-AMPERE EQUATIONS AND GEODESICS IN THE SPACE OF KAHLER METRICS, 2012, 2038 : 231 - 255
[50] Harmonic functionals in a Riemannian space
Hodge, WVD
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 1935, 38 : 72 - 95

← 1 2 3 4 5 →