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PT-Symmetric Matrix Quasi-Exactly Solvable Razhavi Potential
Institut de Pédagogie Appliquée, Université du Burundi, Bujumbura, Burundi
- 1 Institut de Pédagogie Appliquée, Université du Burundi, Bujumbura, Burundi
Open Journal of Microphysics·Volume 10 (2020)·Pages 9–20·Published 25 May 2020·DOI10.4236/ojm.2020.102002
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Abstract
A PT -symmetric Hamiltonian associated with a trigonometric Razhavi potential is analyzed. Along the same lines of the general quasi-exactly solvable analytic method considered in the [1] [2] [3] , three necessary and sufficient algebraic conditions for this Hamiltonian to have a finite-dimensional invariant vector space are established. This PT -symmetric 2 x 2 -matrix Hamiltonian is called quasi-exactly solvable ( QES ).
KeywordsPT-Symmetric HamiltonianTrigonometric PotentialQES analytic MethodInvariant Vector Space
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