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

Abstract

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.

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

References in corpus (5)

• Quantum particles trapped in a position-dependent mass barrier; a d-dimensional recipe
• N-fold Supersymmetry in Quantum Systems with Position-dependent Mass
• d-Dimensional generalization of the point canonical transformation for a quantum particle with position-dependent mass
• Non-Hermitian d-dimensional Hamiltonians with position dependent mass and their $\eta$-pseudo-Hermiticity generators
• $\eta$-weak-Pseudo-Hermiticity generators and exact solvability

Cited by in corpus (1)

• Position Dependent Mass Oscillators and Coherent States