6 papers
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…
Quantization of fields over de Sitter space by the method of generalized coherent states. I. Scalar field
Semyon Pol'shin
A system of generalized coherent states for the de Sitter group obeying Klein-Gordon equation and corresponding to the massive spin zero particles over the de Sitter space is consi…
Tensionless strings and the space-time signature change
S. A. Pol'shin, A. A. Zheltukhin
We construct a tensionless string model in a four-dimensional space-time with the (2,2) signature and solve the string equations. We find that the signature change…
Generalized coherent states and invariant propagators for massive spin 0 and 1/2 fields over de Sitter space
Semyon Pol'shin
Two different systems of the generalized coherent states for the de Sitter group are constructed. These systems have the physical sense of particles and antiparticles over de Sitte…
Group Theoretical Examination of the Relativistic Wave Equations on Curved Spaces. II. De Sitter and Anti-de Sitter Spaces
Semyon Pol'shin
The group theoretical approach to the relativistic wave equations in the de Sitter and Anti-de Sitter spaces for spin~0 and 1/2 massive particles is considered. The invariant wave…
Group Theoretical Examination of the Relativistic Wave Equations on Curved Spaces. I.Basic Principles
Semyon Pol'shin
The basic principles of generalization of the group theoretical approach to the relativistic wave equations on curved spaces are examined. The general method of the determination o…