8 citations · 23 across the 14 of their papers we have counts for
14 papers
Grassmann dynamics of classical spin in nonabelian gauge fields
S. A. Pol'shin
Using Grassmann variant of classical mechanics, we construct Lagrangian dynamics of classical spinning particle in (possibly non-abelian) gauge fields. Quantization of this model i…
Poisson bracket in classical field theory as a derived bracket
S. A. Pol'shin
We construct a Leibniz bracket on the space of all differential forms over the finite-dimensional jet bundle . As an example, we write Maxwell equati…
Symbol calculus for the Kepler problem
S. A. Pol'shin
We construct the system of generalized coherent states for the quantum Kepler problem corresponds to the homogeneous domain . We show that the SU(2,2)-e…
Quantization of fields over de Sitter space by the method of generalized coherent states
Semyon Pol'shin
A system of generalized coherent states for the de Sitter group obeying the Klein-Gordon equation and corresponding to the massive spin zero particles over the de Sitter space is c…
Coherent states for the hydrogen atom
Semyon Pol'shin
We construct a system of coherent states for the hydrogen atom that is expressed in terms of elementary functions. Unlike to the previous attempts in this direction, this system po…
Quantization of fields over de Sitter space by the method of generalized coherent states. II. Spinor field
Semyon Pol'shin
Connection of the invariant Dirac equation over the de Sitter space with irreducible representations of the de Sitter group is ascertained. The set of solutions of this equation is…