Abstract:
For path integrals with integration measures generated by random processes of a definite form (equations of Stratonovich's type are the local form for the stochastic differential equations of these processes) it is shown that when the hydrogen atom is quantized there is a mutual canceling of the reparametrization and reduction Jacobians.
Citation:
S. N. Storchak, “Remark on quantization of the hydrogen atom by the path-integral method”, TMF, 82:1 (1990), 47–54; Theoret. and Math. Phys., 82:1 (1990), 32–37
This publication is cited in the following 5 articles:
L. Chetouani, L. Guechi, T. F. Hammann, “Algebraic treatment of super-integrable potentials”, Journal of Mathematical Physics, 42:10 (2001), 4684
Grosche, C, “Handbook of Feynman path integrals - Introduction”, Handbook of Feynman Path Integrals, 145 (1998), 1
C. Grosche, G. S. Pogosyan, A. N. Sissakian, “Path Integral Discussion for Smorodinsky-Winternitz Potentials: II. The Two- and Three-Dimensional Sphere”, Fortschr. Phys., 43:6 (1995), 523
C. Grosche, G. S. Pogosyan, A. N. Sissakian, “Path Integral Discussion for Smorodinsky-Winternitz Potentials: I. Two- and Three Dimensional Euclidean Space”, Fortschr. Phys., 43:6 (1995), 453
S.N. Storchak, “Path integrals on warped product manifolds”, Physics Letters A, 174:1-2 (1993), 13