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Quasi-Exactly Solvable Jacobi Elliptic 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 21–33·Published 20 July 2020·DOI10.4236/ojm.2020.103003
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Abstract
A new example of 2×2 -matrix quasi-exactly solvable (QES) Hamiltonian which is associated to a Jacobi elliptic potential is constructed. We compute algebraically three necessary and sufficient conditions with the QES analytic method for the Jacobi Hamiltonian to have a finite dimensional invariant vector space. The matrix Jacobi Hamiltonian is called quasi-exactly solvable.
KeywordsJacobi Elliptic PotentialQES Analytic MethodThree QES Conditions
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