Gomez-Ullate, D., Kamran, N. and Milson, R. (2005) Quasi-Exact Solvability and the Direct Approach to Invariant Subspaces. Journal of Physics, A38, 2005-2019.
https://doi.org/10.1088/0305-4470/38/9/011

has been cited by the following article:

• TITLE: Pseudo-Hermitian Matrix Exactly Solvable Hamiltonian

  AUTHORS: Ancilla Nininahazwe

  KEYWORDS: Pseudo-Hermiticity, Exact Solvability, Direct Method

  JOURNAL NAME: Open Journal of Microphysics, Vol.9 No.1, January 31, 2019

  ABSTRACT: The non PT-symmetric exactly solvable Hamiltonian describing a system of a fermion in the external magnetic field which couples to a harmonic oscillator through some pseudo-hermitian interaction is considered. We point out all properties of both of the original Mandal and the original Jaynes-Cummings Hamitonians. It is shown that these Hamiltonians are respectively pseudo-hermitian and hermitian REF _Ref536606452 \r \h \* MERGEFORMAT [1] REF _Ref536606454 \r \h [2]. Like the direct approach to invariant vector spaces used in Refs. REF _Ref536606456 \r \h [3] REF _Ref536606457 \r \h [4], we reveal the exact solvability of both the Mandal and Jaynes-Cummings Hamiltonians after expressing them in the position operator and the impulsion operator.