79 citations · 188 across the 15 of their papers we have counts for
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quant-ph2009★ 8 cited
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…
quant-ph2009★ 1 cited
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…
quant-ph2009★ 36 cited
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…