The solution of the one-dimensional Schrödinger equation is discussed in the case of
position-dependent mass. The general formalism is specified for potentials that are solvable …

In the present work, the optical properties of GaAs/Al x Ga 1− x As/GaAs multi-shell
ellipsoidal quantum dot heterostructures with a shallow hydrogenic impurity in the presence …

We examine various generalizations, eg exactly solvable, quasi-exactly solvable and non-
Hermitian variants, of a quantum nonlinear oscillator. For all these cases, the same mass …

We consider the Schrödinger equation with singular position dependent effective mass and
prove that it is very weakly well posed. A uniqueness result is proved in an appropriate …

Within the framework of the translation operator for a quantum system with position-
dependent mass, we examine the quantum state of a position-dependent mass system in a …

The position-dependent effective mass quantum harmonic oscillator problem is considered
within the displacement operator framework. Using the analytic and the algebraic …

Applying the supersymmetric quantum mechanics approach, we derive shape-invariant
trigonometric potentials for the displacement-operator-derived effective mass Hamiltonian …

Variable Mass Quantum Harmonic Oscillator; Exact Solvability and Isospectral Potentials
Abstract Page 1 Physical Science International Journal 4(10): 1370-1382, 2014 ISSN: 2348-0130 …

The aim of the present study is to obtain exact solutions for the onedimensional position-
dependent effective mass Schrödinger equation. After the change of wave function on …

A sigmoidal grading profile is proposed for the efficient study of the influence of material
parameters and effective mass mismatch on the properties of graded heterojunctions. For …