67 citations · 243 across the 8 of their papers we have counts for
6 papers
Position-dependent noncommutativity in quantum mechanics
M. Gomes, V. G. Kupriyanov
The model of the position-dependent noncommutativety in quantum mechanics is proposed. We start with a given commutation relations between the operators of coordinates [x^{i},x^{j}…
Star products made (somewhat) easier
V. G. Kupriyanov, D. V. Vassilevich
We develop an approach to the deformation quantization on the real plane with an arbitrary Poisson structure which based on Weyl symmetrically ordered operator products. By using a…
On the action principle for a system of differential equations
D. M. Gitman, V. G. Kupriyanov
We consider the problem of constructing an action functional for physical systems whose classical equations of motion cannot be directly identified with Euler-Lagrange equations fo…
Path integral representations in noncommutative quantum mechanics and noncommutative version of Berezin-Marinov action
D. M. Gitman, V. G. Kupriyanov
It is known that actions of field theories on a noncommutative space-time can be written as some modified (we call them -modified) classical actions already on the commutative s…
Canonical quantization of so-called non-Lagrangian systems
D. M. Gitman, V. G. Kupriyanov
We present an approach to the canonical quantization of systems with equations of motion that are historically called non-Lagrangian equations. Our viewpoint of this problem is the…
Deformation quantization of linear dissipative systems
V. G. Kupriyanov, S. L. Lyakhovich, A. A. Sharapov
A simple pseudo-Hamiltonian formulation is proposed for the linear inhomogeneous systems of ODEs. In contrast to the usual Hamiltonian mechanics, our approach is based on the use o…