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.
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