18 citations · 23 across the 3 of their papers we have counts for
3 papers
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…
hep-th2001★ 3 cited
Quantum mechanics on Riemannian Manifold in Schwinger's Quantization Approach II
N. Chepilko, A. Romanenko
Extended Schwinger's quantization procedure is used for constructing quantum mechanics on a manifold with a group structure. The considered manifold is a homogeneous Riemannian…