Jacobi Elliptic Potential and Quasi-Exact Solvability

Authors

  • Ancilla Nininahazwe Institut de Pédagogie Appliquée, Université du Burundi, Bujumbura, Burundi.

DOI:

https://doi.org/10.9734/bpi/nfpsr/v3/3918A

Keywords:

Jacobi elliptic potential, QES analytic method, three QES conditions, generic vector, invariant vector space

Abstract

A fresh illustration of a Jacobi elliptic potential-related quasi-exactly solvable 2 × 2 matrix Hamiltonian is developed.  In order for the Jacobi Hamiltonian to have a finite dimensional invariant vector space, we must satisfy three necessary and sufficient criteria, which we compute algebraically using the QES analytic approach.  It is referred to as being "quasi-exactly solvable" for the matrix Jacobi Hamiltonian.

Published

2022-11-01

How to Cite

Ancilla Nininahazwe. (2022). Jacobi Elliptic Potential and Quasi-Exact Solvability. New Frontiers in Physical Science Research Vol. 3, 42–60. https://doi.org/10.9734/bpi/nfpsr/v3/3918A

Issue

New Frontiers in Physical Science Research Vol. 3

Section

Chapters