79 citations · 188 across the 15 of their papers we have counts for
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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…
Self-adjoint extensions and spectral analysis in the generalized Kratzer problem
M. C. Baldiotti, D. M. Gitman, I. V. Tyutin +1
We present a mathematically rigorous quantum-mechanical treatment of a one-dimensional nonrelativistic motion of a particle in the potential field . F…