Known shape-invariant potentials for the constant-mass Schrödinger equation are taken as
effective potentials in a position-dependent effective mass (PDEM) one. The corresponding …

On using the known equivalence between the presence of a position-dependent mass
(PDM) in the Schrödinger equation and a deformation of the canonical commutation …

Recently Gómez-Ullate et al [1] presented the detailed classification scheme of the
equivalence relations for 'pseudo-Wronskians'(p-Ws) of Laguerre and Jacobi polynomials …

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 …

Kelvin showed the maximum efficiency with which heat can be converted into work; but there
is a dual theorem about the maximum efficiency with which heat at one temperature can be …

We connect quantum Hamilton–Jacobi theory with supersymmetric quantum mechanics
(SUSYQM). We show that the shape invariance, which is an integrability condition of …

A model is presented, where an asymmetric double-well potential (DWP) is constructed from
several smoothly joined Morse-type components. A complete analytic solution procedure of …

For over 200 years the University of Glasgow has played a uniquely important role in the
development of thermodynamics. There the distinction between temperature as a measure …

In this article, interrelations between a special type of superpotentials with dilatative scaling
behavior and between q-discretized harmonic oscillators are investigated. It turns out that …

This bachelor thesis is an introduction to supersymmetry in one dimensional quantum
mechanics. Beginning with the factorization of Hamiltonian we will develop tools to solve …