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

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

2006-07-05

arxiv.org/abs/quant-ph/0607030v4

Int. J. Theor. Phys. 47, 446 (2008)

Physics

Quantum Physics

11 pages, no figures, Revised/Expanded, more references added. To appear in the Int.J. Theor. Phys

Scientific paper

10.1007/s10773-007-9470-7

A Hermitian and an anti-Hermitian first-order intertwining operators are introduced and a class of $\eta$-weak-pseudo-Hermitian position-dependent mass (PDM) Hamiltonians are constructed. A corresponding reference-target $\eta$-weak-pseudo-Hermitian PDM -- Hamiltonians' map is suggested. Some $\eta$-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 $\eta$-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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