68 citations · 298 across the 22 of their papers we have counts for
5 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…
Semiclassical and quantum description of motion on noncommutative plane
M. C. Baldiotti, J. P. Gazeau, D. M. Gitman
We study the canonical and the coherent state quantization of a particle moving in a magnetic field on a non-commutative plane. Starting from the so called θ-modified action, we pe…
Field on Poincare group and quantum description of orientable objects
D. Gitman, A. Shelepin
We propose an approach to the quantum-mechanical description of relativistic orientable objects. It generalizes Wigner's ideas concerning the treatment of nonrelativistic orientabl…
Coherent states of a particle in magnetic field and Stieltjes moment problem
J. P. Gazeau, M. C. Baldiotti, D. M. Gitman
A solution to a version of the Stieltjes moment problem is presented. Using this solution, we construct a family of coherent states of a charged particle in a uniform magnetic fiel…