A new example of <span style="white-space:nowrap;">2×2 </span>-matrix quasi-exactly solvable (QES) Hamiltonian which is associated to a Jacobi elliptic potential is constructed. We comp...A new example of <span style="white-space:nowrap;">2×2 </span>-matrix quasi-exactly solvable (QES) Hamiltonian which is associated to a Jacobi elliptic potential is constructed. We compute algebraically three necessary and sufficient conditions with the QES analytic method for the Jacobi Hamiltonian to have a finite dimensional invariant vector space. The matrix Jacobi Hamiltonian is called <em>quasi-exactly solvable.</em>展开更多
文摘A new example of <span style="white-space:nowrap;">2×2 </span>-matrix quasi-exactly solvable (QES) Hamiltonian which is associated to a Jacobi elliptic potential is constructed. We compute algebraically three necessary and sufficient conditions with the QES analytic method for the Jacobi Hamiltonian to have a finite dimensional invariant vector space. The matrix Jacobi Hamiltonian is called <em>quasi-exactly solvable.</em>
