TITLE:
PT-Symmetric Matrix Quasi-Exactly Solvable Razhavi Potential
AUTHORS:
Ancilla Nininahazwe
KEYWORDS:
PT-Symmetric Hamiltonian, Trigonometric Potential, QES analytic Method, Invariant Vector Space
JOURNAL NAME:
Open Journal of Microphysics,
Vol.10 No.2,
May
25,
2020
ABSTRACT: A PT-symmetric Hamiltonian associated with a trigonometric Razhavi potential is analyzed. Along the same lines of the general quasi-exactly solvable analytic method considered in the [1] [2] [3], three necessary and sufficient algebraic conditions for this Hamiltonian to have a finite-dimensional invariant vector space are established. This PT-symmetric 2 x 2 -matrix Hamiltonian is called quasi-exactly solvable (QES).