Open Journal of Microphysics

Volume 3, Issue 3 (August 2013)

ISSN Print: 2162-2450   ISSN Online: 2162-2469

Google-based Impact Factor: 0.56  Citations  

Matrix Quasi-Exactly Solvable Jacobi Elliptic Hamiltonian

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DOI: 10.4236/ojm.2013.33010    2,830 Downloads   4,844 Views  Citations

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.

Share and Cite:

A. Nininahazwe, "Matrix Quasi-Exactly Solvable Jacobi Elliptic Hamiltonian," Open Journal of Microphysics, Vol. 3 No. 3, 2013, pp. 53-59. doi: 10.4236/ojm.2013.33010.

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