79 citations · 89 across the 4 of their papers we have counts for
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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…
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…