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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 1973 Volume 16, Number 3, Pages 419–422 (Mi tmf3784)

This article is cited in 3 papers

Quantization in riemannian space

P. V. Elyutin, V. D. Krivchenkov


Abstract: 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.

Received: 19.02.1973


 English version:
Theoretical and Mathematical Physics, 1973, 16:3, 939–941


© Steklov Math. Inst. of RAS, 2026