345 citations · 888 across the 60 of their papers we have counts for
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About dual one-dimensional oscillator and Coulomb-like theories
I. V. Tyutin, G. V. Grigoryan, R. P. Grigoryan
We present a mathematically rigorous quantum-mechanical treatment of a one-dimensional nonrelativistic quantum dual theories (with oscillator and Coulomb-like potentials) and compa…
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…
Electron scattering by a solenoid
I. V. Tyutin
The quantum-mechanical problems of electron scattering by an infinitely thin solenoid and by a half of an infinitely thin solenoid are examined from the viewpoint of constructing a…
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…