Matrix Jacobi Elliptic Hamiltonian and Quasi-Exact Solvability

Authors

  • Ancilla Nininahazwe Institut de Pédagogie Appliquée (IPA), Université du Burundi (UB) Author
  • Agnès Nakimana Département des Sciences Naturelles, Section Physique-Technologie, Ecole Normale Supérieure (ENS) Author
  • Gloriose Nizigama Institut de Pédagogie Appliquée (IPA), Université du Burundi (UB) Author
  • Jean Pacifique Munezero Institut de Pédagogie Appliquée (IPA), Université du Burundi (UB) Author

Keywords:

Jacobi Elliptic Hamiltonian, QES Analytic Method, Quasi-Exact Solvability

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 apply the QES analytic method in order to establish three necessary and sufficient algebraic conditions for the previous Hamiltonian to have an invariant vector space whose generic elements are polynomials. This Hamiltonian is called quasi-exactly solvable. 

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Published

2022-03-31

Issue

Vol. 1 No. 32 (2022): Série Sciences exactes et naturelles

Section

Articles

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How to Cite

Matrix Jacobi Elliptic Hamiltonian and Quasi-Exact Solvability. (2022). Série : Sciences Exactes Et Naturelles, 1(32), 9-19. https://revue.ub.edu.bi/index.php/SEN/article/view/23