Matrix Quasi-Exactly Solvable Jacobi Elliptic Hamiltonian

Ancilla Nininahazwe

Institut de Pédagogie Appliquée, Université du Burundi, Bujumbura, Burundi.

DOI: 10.4236/ojm.2013.33010                

Abstract

We construct a new example of 2 × 2-matrix quasi-exactly solvable (QES) Hamiltonian which is associated to a potential 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.

Keywords

Technology; Preference for Quality; Volume of Trade; Vertical Intra-Industry Trade

Conflicts of Interest

The authors declare no conflicts of interest.

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