55 citations
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5 papers
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…
Bi-confluent Heun potentials for a stationary relativistic wave equation for a spinless particle
H. H. Azizbekyan, A. M. Manukyan, V. M. Mekhitarian +1
The variety of bi-confluent Heun potentials for a stationary relativistic wave equation for a spinless particle is presented. The physical potentials and energy spectrum of this wa…
A periodic level-crossing two-state model of a general Heun class
G. Saget, A. M. Ishkhanyan, C. Leroy +1
We present a specific constant-amplitude periodic level-crossing model of the semi-classical quantum time-dependent two-state problem that belongs to a general Heun class of field…
A singular Lambert-W Schrödinger potential exactly solvable in terms of the confluent hypergeometric functions
A. M. Ishkhanyan
We introduce two potentials explicitly given by the Lambert-W function for which the exact solution of the one-dimensional stationary Schrödinger equation is written through the fi…
Vacuum currents induced by a magnetic flux around a cosmic string with finite core
E. R. Bezerra de Mello, V. B. Bezerra, A. A. Saharian +1
We evaluate the Hadamard function and the vacuum expectation value of the current density for a massive complex scalar field in the generalized geometry of a straight cosmic string…