Since the parity-time-(PT-) symmetric quantum mechanics was put forward, fundamental
properties of some linear and nonlinear models with PT-symmetric potentials have been …

We examine some nontrivial consequences that emerge from interpreting a position-
dependent mass (PDM)-driven Duffing oscillator in the presence of a quartic potential. The …

A one-dimensional harmonic oscillator with position-dependent effective mass is studied.
We quantize the oscillator to obtain a quantum Hamiltonian, which is manifestly Hermitian in …

In this paper, we propose an algorithm to construct coherent states for an exactly solvable
position dependent mass Schrödinger equation. We use point canonical transformation …

In this paper, the energy levels and the wave functions of the schrödinger equation with
position-dependent mass (PDM) are theoretically deduced, and they are brought into the …

Extending our previous analysis on bi-coherent states, we introduce here a new class of
quantum mechanical vectors, the bi-squeezed states, and we deduce their main …

Doing research is fun! I like when I find something unclear, and I like more when I
understand what is going on. The point is that, quoting George Bernard Shaw, science never …

This paper is devoted to the construction of what we will call exactly solvable models, ie, of
quantum mechanical systems described by an Hamiltonian H whose eigenvalues and …

In some recent literature the role of non self-adjoint Hamiltonians, H≠ H†, is often
considered in connection with gain-loss systems. The dynamics for these systems is, most of …

We propose a deformed version of the generalized Heisenberg algebra by using techniques
borrowed from the theory of pseudo-bosons. In particular, this analysis is relevant when non …