TITLE:
Non Hermitian Matrix Quasi-Exactly Solvable Hamiltonian
AUTHORS:
Ancilla Nininahazwe
KEYWORDS:
PT-Symmetry, Razhavi potential, Quasi-Exact Solvability, QES Analytic Method
JOURNAL NAME:
Open Journal of Microphysics,
Vol.8 No.3,
August
24,
2018
ABSTRACT:
A new example of PT-symmetric quasi-exactly solvable (QES) 22×-matrix Hamiltonian which is associated to a trigonometric Razhavi potential is con-sidered. Like the QES analytic method considered in the Ref. [1] [2], we es-tablish three necessary and sufficient algebraic conditions for this Hamilto-nian to have a finite-dimensional invariant vector space whose generic ele-ment is polynomial. This non hermitian matrix Hamiltonian is called qua-si-exactly solvable [3].