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Transitivity in the theory of the Lorentz group and the Stokes -- Mueller formalism in optics
Group-theoretical analysis of arbitrary polarization devices is performed, based on the theory of the Lorentz group. In effective "non-relativistic" Mueller case, described by 3-dimensionalExpand
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On WKB-Quantization for Kepler Problem in Euclide, Riemann and Lobachevsky 3-Space
Quantum mechanical WKB-method is elaborated for the known quantum Kepler problem in curved 3-space models Euclide, Riemann and Lobachevsky in the framework of the complex variable function theory.Expand
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Schr\"{o}dinger particle in magnetic and electric fields in Lobachevsky and Riemann spaces
Schr\"{o}dinger equation in Lobachevsky and Riemann 4-spaces has been solved in the presence of external magnetic field that is an analog of a uniform magnetic field in the flat space. GeneralizedExpand
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Duffin-Kemmer-Petiau formalism reexamined: non-relativistic approximation for spin 0 and spin 1 particles in a Riemannian space-time
It is shown that the generally covariant Duffin-Kemmer-Petiau equation, formulated in the frame of the Tetrode-Weyl-Fock-Ivanenko tetrad formalism, allows for a non-relativistic approximation if theExpand
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Dirac-Kahler equation in curved space-time, relation between spinor and tensor formulations
A common view is that generalization of a wave equation on Riemannian space-time is substantially determined by what a particle is - boson or fermion. As a rule, they say that tensor equations forExpand
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Wave functions of a particle with polarizability in the Coulomb potential
Quantum mechanical scalar particle with polarizability is considered in the presence of the Coulomb field. Separation of variables is performed with the use of Wigner D-functions, the radial systemExpand
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Coulomb problem for a Dirac particle in flat Minkowski space and the Heun functions, extension to curved models
It is shown that there exist several ways to treat the quantum-mechanical Coulomb problem for a Dirac particle in flat Minkowski space with the help of the Heun differential equation, Fuchs'sExpand
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On simulating a medium with special reflecting properties by Lobachevsky geometry (One exactly solvable electromagnetic problem)
Lobachewsky geometry simulates a medium with special constitutive relations. The situation is specified in quasi-cartesian coordinates (x,y,z). Exact solutions of the Maxwell equations in complexExpand
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Complete-return spectrum for a generalized Rosen-Zener two-state term-crossing model
The general semiclassical time-dependent two-state problem is considered for a specific field configuration referred to as the generalized Rosen-Zener model. This is a rich family of pulse amplitude-Expand
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On the wave functions and energy spectrum for a spin 1 particle in external Coulomb field
Quantum-mechanical system -- spin 1 particle in external Coulomb field is studied on the base of the matrix Duffin-Kemmer-Petiau formalism with the use of the tetrad technique. Separation of theExpand
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