82 citations · 298 across the 10 of their papers we have counts for
10 papers
Exact solutions of the sextic oscillator from the bi-confluent Heun equation
G. Lévai, A. M. Ishkhanyan
The sextic oscillator is discussed as a potential obtained from the bi-confluent Heun equation after a suitable variable transformation. Following earlier results, the solutions of…
Three solvable matrix models of a quantum catastrophe
Geza Levai, Frantisek Ruzicka, Miloslav Znojil
Three classes of finite-dimensional models of quantum systems exhibiting spectral degeneracies called quantum catastrophes are described in detail. Computer-assisted symbolic manip…
Scattering in the PT-symmetric Coulomb potential
Geza Levai, Petr Siegl, Miloslav Znojil
Scattering on the -symmetric Coulomb potential is studied along a U-shaped trajectory circumventing the origin in the complex plane from below. This trajectory refle…
PT symmetry of a conditionally exactly solvable potential
Anjana Sinha, Geza Levai, Pinaki Roy
A conditionally exactly solvable potential, the supersymmetric partner of the harmonic oscillator is investigated in the PT-symmetric setting. It is shown that a number of properti…
The sextic oscillator as a -independent potential
G. Lévai, J. M. Arias
The sextic oscillator is proposed as a two-parameter solvable -independent potential in the Bohr Hamiltonian. It is shown that closed analytical expressions can be derived for t…
An An exactly solvable PT symmetric potential from the Natanzon class
G. Levai, A. Sinha, P. Roy
The symmetric version of the generalised Ginocchio potential, a member of the general exactly solvable Natanzon potential class is analysed and its properties are compa…