A New Class of PT-symmetric Hamiltonians with Real Spectra

Details A New Class of PT-symmetric Hamiltonians with Real Spectra A New Class of PT-symmetric Hamiltonians with Real Spectra

2000-11-21

arxiv.org/abs/quant-ph/0011089v1

Phys.Lett. A281 (2001) 305-310

Physics

Quantum Physics

9 pages, Latex

Scientific paper

10.1016/S0375-9601(01)00144-X

We investigate complex PT-symmetric potentials, associated with quasi-exactly solvable non-hermitian models involving polynomials and a class of rational functions. We also look for special solutions of intertwining relations of SUSY Quantum Mechanics providing a partnership between a real and a complex PT-symmetric potential of the kind mentioned above. We investigate conditions sufficient to ensure the reality of the full spectrum or, for the quasi-exactly solvable systems, the reality of the energy of the finite number of levels.

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