Study about Matrix Quasi-Exactly Solvable Jacobi Elliptic Hamiltonian | Chapter 4 | Current Research Progress in Physical Science Vol. 5

In the last few years, a new class of operators which is intermediate to exactly solvable and non-solvable operators has been discovered: the quasi-exactly solvable (QES) operators, for which a finite part of the spectrum can computed algebraically. A new example of a 2 × 2 -matrix quasi-exactly solvable (QES) Hamiltonian was constructed which is associated with a potential depending on the Jacobi elliptic functions. The QES analytic method was applied in order to establish three necessary and sufficient algebraic conditions for the 2 × 2 -matrix Hamiltonian to have an invariant vector space whose generic elements are polynomials. This Hamiltonian is called quasi-exactly solvable.

 

Author (s) Details

Ancilla NININAHAZWE
Université du Burundi, Institut de Pédagogie Appliquée, B.P. 5223 Bujumbura, Burundi.

 

Please see the book here:- https://doi.org/10.9734/bpi/crpps/v5/2760