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Non Hermitian Matrix Quasi-Exactly Solvable Hamiltonian
Institut de Pédagogie Appliquée, Université du Burundi, Bujumbura, Burundi
- 1 Institut de Pédagogie Appliquée, Université du Burundi, Bujumbura, Burundi
Open Journal of Microphysics·Volume 08 (2018)·Pages 15–25·Published 23 August 2018·DOI10.4236/ojm.2018.83003
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Abstract
A new example of PT -symmetric quasi-exactly solvable (QES) 22×-matrix Hamiltonian which is associated to a trigonometric Razhavi potential is con-sidered. Like the QES analytic method considered in the Ref. [1] [2], we es-tablish three necessary and sufficient algebraic conditions for this Hamilto-nian to have a finite-dimensional invariant vector space whose generic ele-ment is polynomial. This non hermitian matrix Hamiltonian is called qua-si-exactly solvable [3].
Keywords<em>PT</em>-SymmetryRazhavi potentialQuasi-Exact SolvabilityQES Analytic Method
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