Two-dimensional SUSY-pseudo-Hermiticity without separation of variables
F. Cannata (1), M. V. Ioffe (2), D. N. Nishnianidze (2,3) ((1), Bologna, Italy, (2) S.-Petersburg, Russia, (3) Kutaisi, Georgia)
TL;DR
This paper explores supersymmetric intertwining in non-Hermitian two-dimensional quantum systems, specifically the generalized Morse potential, using complexified SUSY methods to find solutions without variable separation.
Contribution
It introduces a novel application of SUSY-separation of variables and shape invariance to non-Hermitian 2D systems lacking variable separation, providing new solution techniques.
Findings
Constructed solutions for complex conjugate energy pairs.
Identified solutions for non-paired complex energies.
Extended SUSY methods to non-separable 2D potentials.
Abstract
We study SUSY-intertwining for non-Hermitian Hamiltonians with special emphasis to the two-dimensional generalized Morse potential, which does not allow for separation of variables. The complexified methods of SUSY-separation of variables and two-dimensional shape invariance are used to construct particular solutions - both for complex conjugated energy pairs and for non-paired complex energies.
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