Non-Hermitian d-dimensional Hamiltonians with position dependent mass and their $\eta$-pseudo-Hermiticity generators

Abstract

A class of non-Hermitian d-dimensional Hamiltonias with position dependent mass and their $\eta$-pseudo-Hermiticity generators is presented. Illustrative examples are given in 1D, 2D, and 3D for different position dependent mass settings.

10 pages, no figures, to appear in the Czech. J. Phys

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• Non-Hermitian von Roos Hamiltonian's $\eta$-weak-pseudo-Hermiticity, isospectrality and exact solvability
• Radial power-law position-dependent mass; Cylindrical coordinates, separability, and spectral signatures
• Analytical Solutions of Klein-Gordon Equation with Position-Dependent Mass for q-Parameter Poschl-Teller potential
• First-order intertwining operators with position dependent mass and $\eta$- weak-psuedo-Hermiticity generators
• The kinetic Hamiltonian with position-dependent mass
• Energy-levels crossing and radial Dirac equation: Supersymmetry and quasi-parity spectral signatures
• Position-dependent mass charged particles in magnetic and Aharonov-Bohm flux fields: separability, exact and conditionally exact solvability
• Position-dependent-mass; Cylindrical coordinates, separability, exact solvability, and PT-symmetry
• Classical and quantum quasi-free position dependent mass; Pöschl-Teller and ordering-ambiguity
• Exact Solutions of the Schrödinger Equation with position-dependent effective mass via general point canonical transformation
• A quasi-free position-dependent-mass jump and self-scattering correspondence
• Non-Hermitian Hamiltonian versus E=0 localized states
• $\eta$-weak-pseudo-Hermiticity generators and radially symmetric Hamiltonians
• Spherical-separablility of non-Hermitian Hamiltonians and pseudo-PT-symmetry
• Spherical-separablility of non-Hermitian Dirac Hamiltonians and pseudo-PT-symmetry
• Flatland Position-Dependent-Mass: Polar Coordinates, Separability and Exact Solvability
• Complementarity versus coordinate transformations: mapping between pseudo-Hermiticity and weak pseudo-Hermiticity