10 citations · 20 across the 4 of their papers we have counts for
4 papers
Darboux partners of Heun-class potentials for the two-dimensional massless Dirac equation
A. Schulze-Halberg, A. M. Ishkhanyan
We apply the Darboux transformation to construct new exactly-solvable cases of the two-dimensional massless Dirac equation for potential classes of Lambert-W and inverse exponentia…
Exact solution of the 1D Dirac equation for the inverse-square-root potential
A. M. Ishkhanyan
We present the exact solution of the 1D Dirac equation for the inverse-square-root potential for several configurations of vector, pseudo-scalar and scalar fields. Eac…
Two-dimensional Dirac fermion in presence of an asymmetric vector potential
A. Ishkhanyan, V. Jakubsky
We introduce the new, exactly solvable model of the two-dimensional Dirac fermion in presence of an asymmetric, Pöschl-Teller-like vector potential. Utilizing the translation invar…
General conditions for vanishing the current J^{z} for Dirac field on boundaries of the domain between two planes
O. V. Veko, V. M. Red'kov, A. I. Shelest +2
In connection with the Casimir effect for a spinor field in presence of external magnetic field, of special interest are solutions of the Dirac equation in the domains restricted b…