Khare, Avinash ; Prasad Mandal, Bhabani (2009) New quasi-exactly solvable Hermitian as well as non-Hermitian PT-invariant potentials Pramana - Journal of Physics, 73 (2). pp. 387-395. ISSN 0304-4289
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Official URL: http://www.ias.ac.in/pramana/v73/p387/fulltext.pdf
Related URL: http://dx.doi.org/10.1007/s12043-009-0130-8
Abstract
We start with quasi-exactly solvable (QES) Hermitian (and hence real) as well as complex PT-invariant, double sinh-Gordon potential and show that even after adding perturbation terms, the resulting potentials, in both cases, are still QES potentials. Further, by using anti-isospectral transformations, we obtain Hermitian as well as PT-invariant complex QES periodic potentials. We study in detail the various properties of the corresponding Bender-Dunne polynomials.
| Item Type: | Article |
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| Source: | Copyright of this article belongs to Indian Academy of Sciences. |
| Keywords: | Quasi-exactly Solvable; Non-Hermitian; PT Symmetry; Bender and Dunne Polynomials |
| ID Code: | 83388 |
| Deposited On: | 20 Feb 2012 09:26 |
| Last Modified: | 19 May 2016 00:15 |
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