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Two-dimensional SUSY-pseudo-Hermiticity without separation of variables |
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| Authors: | F. Cannata M. V. Ioffe D. N. Nishnianidze |
| Affiliation: | a Dipartimento di Fisica and INFN, Via Irnerio 46, 40126, Bologna, Italy b Sankt-Petersburg State University, 198504, Sankt-Petersburg, Russia c Faculty of Physics, Kutaisi Polytechnical University, Kutaisi, Georgia |
| 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. |
| Keywords: | Supersymmetry Complex two-dimensional Hamiltonians SUSY-pseudo-Hermiticity Quasi-exactly-solvable models Partial solvability |
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