30 citations · 230 across the 21 of their papers we have counts for
9 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…
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…
Charged particles in crossed and longitudinal electromagnetic fields and beam guides
V. G. Bagrov, M. C. Baldiotti, D. M. Gitman
We consider a class of electromagnetic fields that contains crossed fields combined with longitudinal electric and magnetic fields. We study the motion of a classical particle (sol…
Two interacting spins in external fields. Four-level systems
V. G. Bagrov, M. C. Baldiotti, D. M. Gitman +1
In the present article, we consider the so-called two-spin equation that describes four-level quantum systems. Recently, these systems attract attention due to their relation to th…