79 citations · 89 across the 4 of their papers we have counts for
5 papers
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…
On Local Variational Differential Operators in Field Theory
S. S. Shahverdiyev, I. V. Tyutin, B. L. Voronov
We propose and develop a new calculus for local variational differential operators. The main difference of the new formalism with the canonical differential calculus is that the im…