343 citations
- Institute for Physical ResearchAM22 papers
- Moscow Institute of Physics and TechnologyRU10 papers
- A. Alikhanyan National LaboratoryAM9 papers
- Yerevan State UniversityAM9 papers
- University of IcelandIS8 papers
- Centre National de la Recherche ScientifiqueFR6 papers
- ITMO UniversityRU6 papers
- Tomsk Polytechnic UniversityRU6 papers
- Dublin Institute For Advanced StudiesIE5 papers
- Kavli Institute for the Physics and Mathematics of the UniverseJP5 papers
- Sorbonne UniversitéFR5 papers
- The University of TokyoJP5 papers
13 papers · 1 filter
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…
Inverse square root level-crossing quantum two-state model
T. A. Ishkhanyan, A. V. Papoyan, A. M. Ishkhanyan +1
We introduce a new unconditionally solvable level-crossing two-state model given by a constant-amplitude optical field configuration for which the detuning is an inverse-square-roo…
Comment on the paper "Third-harmonic generation investigated by a short-range bottomless exponential potential well" by M. Hu, K. Guo, Q. Yu, Z. Zhang [Superlattices and Microstructures, 122 (2018) 538-547]
A. M. Ishkhanyan, G. G. Demirkhanyan
We have discovered several severe errors in the recent paper M. Hu, K. Guo, Q. Yu, Z. Zhang [Superlattices and Microstructures, 122 (2018) 538-547]. Specifically, we demonstrate th…
Exactly-solvable quantum systems in terms of Lambert-W functions
A. Schulze-Halberg, A. M. Ishkhanyan
We construct a variety of new exactly-solvable quantum systems, the potentials of which are given in terms of Lambert-W functions. In particular, we generate Schrödinger models wit…
Hermite function solutions of the Schrödinger equation for the sextic oscillator
A. M. Ishkhanyan, G. Lévai
We examine the conditions under which the solution of the radial stationary Schrödinger equation for the sextic anharmonic oscillator can be expanded in terms of Hermite functions.…
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…