73 citations · 204 across the 5 of their papers we have counts for
5 papers
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.…
PT symmetry breaking and explicit expressions for the pseudo-norm in the Scarf II potential
G. Levai, F. Cannata, A. Ventura
Closed expressions are derived for the pseudo-norm, norm and orthogonality relations for arbitrary bound states of the PT symmetric and the Hermitian Scarf II potential for the fir…
The interplay of supersymmetry and PT symmetry in quantum mechanics: a case study for the Scarf II potential
G. Levai, M. Znojil
Motivated by the duality of normalizable states and the presence of the quasi-parity quantum number q=+/-1 in PT symmetric (non-Hermitian) quantum mechanical potential models, the…
Conditions for complex spectra in a class of PT symmetric potentials
G. Levai, M. Znojil
We study a wide class of solvable PT symmetric potentials in order to identify conditions under which these potentials have regular solutions with complex energy. Besides confirmin…
The Coulomb - harmonic oscillator correspondence in PT-symmetric quantum mechanics
M. Znojil, G. Levai
We show that and how the Coulomb potential can be regularized and solved exactly at the imaginary couplings. The new spectrum of energies is real and bounded as expected, but its e…