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Article citations


Brihaye, Y. and Hartmann, B. (2001) Quasi-Exactly Solvable -Matrix Schrödinger Operators. Modern Physics Letters A, 16, 1895-1906.

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.