18 citations · 20 across the 3 of their papers we have counts for
3 papers
hep-th2002
Quantum mechanics on Riemannian manifold in Schwinger's quantization approach IV
N. M. Chepilko, A. V. Romanenko
In this paper we extend Schwinger's quantization approach to the case of a supermanifold considered as a coset space of the Poincare group by the Lorentz group. In terms of coordin…
hep-th2001★ 18 cited
Quantum mechanics on Riemannian Manifold in Schwinger's Quantization Approach I
N. Chepilko, A. Romanenko
Schwinger's quantization scheme is extended in order to solve the problem of the formulation of quantum mechanics on a space with a group structure. The importance of Killing vecto…
hep-th2001★ 2 cited
Quantum mechanics on Riemannian Manifold in Schwinger's Quantization approach III
N. Chepilko, A. Romanenko
Using extended Schwinger's quantization approach quantum mechanics on a Riemannian manifold with a given action of an intransitive group of isometries is developed. It was show…