79 citations · 188 across the 15 of their papers we have counts for
6 papers · 1 filter
Self-adjoint Schrodinger and Dirac operators with Aharonov-Bohm and magnetic-solenoid fields
D. M. Gitman, A. Smirnov, I. V. Tyutin +1
We study all the s.a. Schrodinger and Dirac operators (Hamiltonians) both with pure AB field and with magnetic-solenoid field. Then, we perform a complete spectral analysis for the…
Large Oscillator representations for self-adjoint Calogero Hamiltonians
D. M. Gitman, I. V. Tyutin, B. L. Voronov
In the article arXiv:0903.5277 [quant-ph], we have presented a mathematically rigorous quantum-mechanical treatment of a one-dimensional motion of a particle in the Calogero potent…
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…
Self-adjoint differential operators assosiated with self-adjoint differential expressions
B. L. Voronov, D. M. Gitman, I. V. Tyutin
Considerable attention has been recently focused on quantum-mechanical systems with boundaries and/or singular potentials for which the construction of physical observables as self…
Elastic scattering and bound states in the Aharonov-Bohm potential superimposed by an attractive potential
Juergen Audretsch, Vladimir D. Skarzhinsky, Boris L. Voronov
We consider the elastic scattering and bound states of charged quantum particles moving in the Aharonov-Bohm and an attractive potential in a partial wave approach. Radial…