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Topological Quantum Computing
Quantum Simulation
New QES Hermitian as well as non-Hermitian PT invariant Potentials
arXiv
Authors: Avinash Khare, Bhabani Prasad Mandal
Year
2011
Paper ID
29174
Status
Preprint
Abstract Read
~2 min
Abstract Words
64
Citations
N/A
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.
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- 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...
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