Supersymmetric Approach to Exactly Solvable Systems With Position-dependent Effective Masses
Year: 2002
Type: article
Abstract: We discuss the relationship between exact solvability of the Schrödinger equation with a position-dependent mass and the ordering ambiguity in the Hamiltonian operator within the framework of supersymmetric quantum mechanics. The one-dimensional Schrödinger equation, derived from the general form of the effective mass Hamiltonian, is solved exactly for a system with exponentially changing mass in the presence of a potential with similar behaviour, and the corresponding supersymmetric partner Hamiltonians are related to the effective-mass Hamiltonians proposed in the literature.
Source: Modern Physics Letters A
Authors: BEŞİ GÖNÜL, BÜLENT GÖNÜL, DİLEK TUTCU, OKAN ÖZER
Institution: Gaziantep University
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2126918608