32 citations · 71 across the 15 of their papers we have counts for
15 papers
Stable and decaying bound states on the naked Reissner-Nordström background
Valentin D. Gladush, Dmitry A. Kulikov
We present a quantum mechanical study of the bound states of a neutral scalar particle on the curved background described by the Reissner-Nordström (RN) spacetime that corresponds…
-expansion for the Schrödinger equation with a position-dependent mass
D. A. Kulikov, V. M. Shapoval
A recursion technique of obtaining the asymptotical expansions for the bound-state energy eigenvalues of the radial Schrödinger equation with a position-dependent mass is presented…
Relativistic oscillator model with spin for nucleon resonances
D. A. Kulikov, I. V. Uvarov, A. P. Yaroshenko
The relativistic three-body problem is approached via the extension of the SL(2,C) group to the Sp(4,C) one. In terms of Sp(4,C) spinors, a Dirac-like equation with three-body kine…
Naked Reissner-Nordström singularity and quasiclassical bound states
Valentin D. Gladush, Dmitry A. Kulikov
The bound-state problem for an uncharged massive scalar particle in the field of a naked Reissner-Nordström singularity is approached by means of the quasiclassical Bohr-Sommerfeld…
Classification for the radial component of particles motion in the field of a super-extremely charged object
Valentin D. Gladush, Dmitry A. Kulikov
A method for investigation of neutral test particles motion with the angular momentum L in the Reissner-Nordström field of a super-extremely charged object with mass M and charge Q…
Comparison theorems for the position-dependent mass Schroedinger equation
D. A. Kulikov
The following comparison rules for the discrete spectrum of the position-dependent mass (PDM) Schroedinger equation are established. (i) If a constant mass and a PDM a…