79 citations · 188 across the 15 of their papers we have counts for
15 papers
Spectra of electronic excitations in graphene near Coulomb impurities
A. I. Breev, R. Ferreira, D. M. Gitman +1
We study the problem of the electron excitation spectrum in the presence of point-like and regularized Coulomb impurities in gapped graphene. To this end, we use the Dirac model an…
Peculiarities of electron energy spectrum in Coulomb field of super heavy nucleus
D. M. Gitman, B. L. Voronov, R. Ferreira +1
Just after the Dirac equation was established, a number of physicists tried to comment on and solve the spectral problem for the Dirac Hamiltonian with the Coulomb field of arbitra…
Generalized oscillator representations for generalized Calogero Hamiltonians
I. V. Tyutin, B. L. Voronov
This paper is a natural continuation of the previous paper \cite{TyuVo13} where generalized oscillator representations for Calogero Hamiltonians with potential , $α\geq…
Generalized oscillator representations for Calogero Hamiltonians
I. V. Tyutin, B. L. Voronov
This paper is a natural continuation of the previous paper J.Phys. A: Math.Theor. 44 (2011) 425204, arXiv 0907.1736 [quant-ph] where oscillator representations for nonnegative Calo…
Electronic Structure of Superheavy Atoms. Revisited
D. M. Gitman, A. D. Levin, I. V. Tyutin +1
The electronic structure of an atom with Z <= 137 can be described by the Dirac equation with the Coulomb field of a point charge Ze. It was believed that the Dirac equation with Z…
Symmetry preserving self-adjoint extensions of Schrödinger operators with singular potentials
D. M. Gitman, A. G. Smirnov, I. V. Tyutin +1
We develop a general technique for finding self-adjoint extensions of a symmetric operator that respect a given set of its symmetries. Problems of this type naturally arise when co…