A New Class of PT-symmetric Hamiltonians with Real Spectra
Cannata, F. ; Ioffe, M. ; Roychoudhury, R. ; Roy, P.
arXiv, 0011089 / Harvested from arXiv
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.
Publié le : 2000-11-21
Classification:  Quantum Physics,  High Energy Physics - Theory,  Mathematical Physics
@article{0011089,
     author = {Cannata, F. and Ioffe, M. and Roychoudhury, R. and Roy, P.},
     title = {A New Class of PT-symmetric Hamiltonians with Real Spectra},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0011089}
}
Cannata, F.; Ioffe, M.; Roychoudhury, R.; Roy, P. A New Class of PT-symmetric Hamiltonians with Real Spectra. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0011089/