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First-order intertwining operators with position dependent mass and $η$- weak-psuedo-Hermiticity generators

Omar Mustafa·S. Habib Mazharimousavi
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Abstract

A Hermitian and an anti-Hermitian first-order intertwining operators are introduced and a class of $η$-weak-pseudo-Hermitian position-dependent mass (PDM) Hamiltonians are constructed. A corresponding reference-target $η$-weak-pseudo-Hermitian PDM -- Hamiltonians' map is suggested. Some $η$-weak-pseudo-Hermitian PT -symmetric Scarf II and periodic-type models are used as illustrative examples. Energy-levels crossing and flown-away states phenomena are reported for the resulting Scarf II spectrum. Some of the corresponding $η$-weak-pseudo-Hermitian Scarf II- and periodic-type-isospectral models (PT -symmetric and non-PT -symmetric) are given as products of the reference-target map.

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Omar Mustafa, S. Habib Mazharimousavi. 2007-04-16. First-order intertwining operators with position dependent mass and $η$- weak-psuedo-Hermiticity generators. https://doi.org/10.1007/s10773-007-9470-7

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