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Matrix Quasi-Exactly Solvable Jacobi Elliptic 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 03 (2013)·Pages 53–59·Published 9 August 2013·DOI10.4236/ojm.2013.33010
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Abstract
We construct a new example of 2 × 2-matrix quasi-exactly solvable (QES) Hamiltonian which is associated to a poten tial depending on the Jacobi elliptic functions. We establish three necessary and sufficient algebraic conditions for the previous operator to have an invariant vector space whose generic elements are polynomials. This operator is called quasi - exactly solvable .
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