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A New Class of PT-symmetric Hamiltonians with Real Spectra

F. Cannata·M. Ioffe·R. Roychoudhury·P. Roy
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Abstract

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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F. Cannata, M. Ioffe, R. Roychoudhury, P. Roy. 2000-11-21. A New Class of PT-symmetric Hamiltonians with Real Spectra. https://doi.org/10.1016/s0375-9601(01)00144-x

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