Supersymmetric approach to quantum systems with position-dependent effective mass

AR Plastino, A Rigo, M Casas, F Garcias, A Plastino - Physical Review A, 1999 - APS
We consider the application of the supersymmetric quantum-mechanical formalism to the
Schrödinger equation describing a particle characterized by a position-dependent effective …

[BOOK][B] Supersymmetric quantum mechanics: An introduction

A Gangopadhyaya, JV Mallow, C Rasinariu - 2017 - books.google.com
We have written this book in order to provide a single compact source for undergraduate
and graduate students, as well as for professional physicists who want to understand the …

Supersymmetric quantum mechanics and solvable models

J Bougie, A Gangopadhyaya, J Mallow, C Rasinariu - Symmetry, 2012 - mdpi.com
We review solvable models within the framework of supersymmetric quantum mechanics
(SUSYQM). In SUSYQM, the shape invariance condition insures solvability of quantum …

[HTML][HTML] Inter-relations between additive shape invariant superpotentials

JV Mallow, A Gangopadhyaya, J Bougie, C Rasinariu - Physics Letters A, 2020 - Elsevier
All known additive shape invariant superpotentials in nonrelativistic quantum mechanics
belong to one of two categories: superpotentials that do not explicitly depend on ħ, and their …

Algebraic nature of shape-invariant and self-similar potentials

AB Balantekin, MAC Ribeiro… - Journal of Physics A …, 1999 - iopscience.iop.org
Self-similar potentials generalize the concept of shape invariance which was originally
introduced to explore exactly solvable potentials in quantum mechanics. In this paper it is …

Coherent states of position-dependent mass trapped in an infinite square well

N Amir, S Iqbal - Journal of Mathematical Physics, 2020 - pubs.aip.org
We develop generalized coherent states based on the Gazeau–Klauder formalism for a
particle with position-dependent mass trapped in an infinite square well. We study the …

Barut—girardello coherent states for nonlinear oscillator with position-dependent mass

N Amir, S Iqbal - Communications in Theoretical Physics, 2016 - iopscience.iop.org
Using ladder operators for the non-linear oscillator with position-dependent effective mass,
realization of the dynamic group SU (1, 1) is presented. Kee** in view the algebraic …

An algebraic construction of generalized coherent states for shape-invariant potentials

ANF Aleixo, AB Balantekin - Journal of Physics A: Mathematical …, 2004 - iopscience.iop.org
Generalized coherent states for shape-invariant potentials are constructed using an
algebraic approach based on supersymmetric quantum mechanics. We show that this …

Information entropy, fractional revivals and Schrödinger equation with position-dependent mass

S Iqbal - Physica Scripta, 2022 - iopscience.iop.org
Abstract Information entropy has played a key role in a wide range of disciplines, for
instance, classical and quantum information processing, quantum computing, quantum …

[PDF][PDF] The quantum mechanics SUSY algebra: an introductory review

R de Lima Rodrigues - arxiv preprint hep-th/0205017, 2002 - cbpfindex.cbpf.br
Starting with the Lagrangian formalism with N= 2 supersymmetry in terms of two Grassmann
variables in Classical Mechanics, the Dirac canonical quantization method is implemented …