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.
Description:
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