Quantization in riemannian space

Quantization in riemannian space

Expressions for the operators of momentum and kinetic energy in the Riemannian space are obtained from general quantummechanical requirements. The results make it possible to simplify the derivation of the Schrodinger equation in generalized coordinates from the classical Lagrangian function. The as...

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Veröffentlicht in:Teor. Mat. Fiz., v. 16, no. 3, pp. 419-422 v. 16, no. 3, pp. 419-422, 1973-09, Vol.16 (3), p.939-941
Hauptverfasser: Elyutin, P. V., Krivchenkov, V. D.
Format: Artikel
Sprache:eng
Schlagworte:
ASYMMETRY
COORDINATES
KINETIC ENERGY
LAGRANGIAN FUNCTION
LINEAR MOMENTUM
MATHEMATICAL OPERATORS
N76100 -Physics (Theoretical)-General
QUANTUM MECHANICS
RIEMANN SPACE
SCHROEDINGER EQUATION
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Zusammenfassung:Expressions for the operators of momentum and kinetic energy in the Riemannian space are obtained from general quantummechanical requirements. The results make it possible to simplify the derivation of the Schrodinger equation in generalized coordinates from the classical Lagrangian function. The asymmetrical top is considered as an example. (auth)
ISSN:0040-5779
1573-9333
DOI:10.1007/BF01042434