79 citations · 125 across the 4 of their papers we have counts for
4 papers
Self-adjoint extensions and spectral analysis in Calogero problem
D. M. Gitman, I. V. Tyutin, B. L. Voronov
In this paper, we present a mathematically rigorous quantum-mechanical treatment of a one-dimensional motion of a particle in the Calogero potential . Although the problem…
Dirac Hamiltonian with superstrong Coulomb field
B. L. Voronov, D. M. Gitman, I. V. Tyutin
We consider the quantum-mechanical problem of a relativistic Dirac particle moving in the Coulomb field of a point charge . In the literature, it is often declared that a quant…
Solutions of relativistic wave equations in superpositions of Aharonov-Bohm, magnetic, and electric fields
V. G. Bagrov, D. M. Gitman, V. B. Tlyachev
We present new exact solutions (in 3+1 and 2+1 dimensions) of relativistic wave equations (Klein-Gordon and Dirac) in external electromagnetic fields of special form. These fields…
Quantization of pseudoclassical model of spin one relativistic particle
D. M. Gitman, A. E. Gonçalves, I. V. Tyutin
A consistent procedure of canonical quantization of pseudoclassical model for spin one relativistic particle is considered. Two approaches to treat the quantization for the massles…