We argue that the classical and quantum mechanical correspondence may play a basic role in the fixation of the ordering ambiguity parameters. We use quasi-free position-dependent masses in the classical and quantum frameworks. ...

A complexified von Roos Hamiltonian is considered and a Hermitian first-order intertwining differential operator is used to obtain the related position-dependent mass η-weak-pseudo-Hermitian Hamiltonians. Using a ...

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

A quasi-free quantum particle endowed with a Heaviside position-dependent mass jump is observed to experience scattering effects manifested by its by-product introduction of the derivative of the Dirac delta point dipole ...

Exact solvability of some non-Hermitian η-weak-pseudo-Hermitian Hamiltonians is explored as a byproduct of η-weak-pseudo-Hermiticity generators. A class of V (x) = V (x) + i W (x) potentials is considered, where the imaginary ...