Variable Mass Quantum Harmonic Oscillator; Exact Solvability and Isospectral Potentials
M. Tchoffo, M. Vubangsi, L. C. Fai
Physical Science International Journal · pp. 1370–1382 · Published 15 Sep 2014
10.9734/PSIJ/2014/9756Abstract
By imposing a particular constraint of solvability on the Liouville normal form of the BenDaniel-Duke type variable mass Schr¨odinger equation, we have derived a class of solvable potentials and harmonic oscillator type solutions for the system. The method has been shown to be applicable in finding isospectral potentials for an infinite possibility of position-dependent mass distributions as well as in determining the effective mass profile for a given effective interaction.
References (29)
- 1 Space-Charge Effects on Electron Tunneling [DOI]
- 2 Position-dependent effective masses in semiconductor theory [DOI]
- 3 Spin response of unpolarized quantum dots [DOI]
- 4 Deformed algebras, position-dependent effective masses and curved spaces: an exactly solvable Coulomb problem [DOI]
- 5 Theory of Electronic States and Transport in Graded Mixed Semiconductors [DOI]
- 6 Displacement operator for quantum systems with position-dependent mass [DOI]
- 7 Model effective-mass Hamiltonians for abrupt heterojunctions and the associated wave-function-matching conditions [DOI]
- 8 Classical and quantum position-dependent mass harmonic oscillators [DOI]
- 9 Band-offset ratio dependence on the effective-mass Hamiltonian based on a modified profile of the GaAs- Alx Ga1−x As quantum well [DOI]
- 10 Position-dependent mass oscillators and coherent states [DOI]
- 11 In Situ Observation of Heterogeneous Growth of CdSe Quantum Dots: Effect of Indium Doping on the Growth Kinetics [DOI]
- 12 SUPERSYMMETRIC APPROACH TO EXACTLY SOLVABLE SYSTEMS WITH POSITION-DEPENDENT EFFECTIVE MASSES [DOI]
- 13 Form of the quantum kinetic-energy operator with spatially varying effective mass [DOI]
- 14 A new class of quasi-exactly solvable potentials with a position-dependent mass [DOI]
- 15 Exact Solutions of the Schrödinger Equation with Position-dependent Effective Mass via General Point Canonical Transformation [DOI]
- 16 Analytical solution to position dependent mass Schrödinger equation [DOI]
- 17 Position dependent mass Schrödinger equation and isospectral potentials: Intertwining operator approach [DOI]
- 18 Position-dependent effective mass system in a variable potential: displacement operator method [DOI]
- 19 New kinetic energy operator for variable mass systems [DOI]
- 20 Generation of Exactly Solvable Potentials of Position-Dependent Mass Schrödinger Equation from Hulthen Potential [DOI]
- 21 Energy eigenvalues for the systems with position-dependent effective mass [DOI]
- 22 Some applications of Meijer G-functions as solutions of differential equations in physical models
- 23 The position-dependent effective mass Schrodinger equation: a quasi-exact solution [DOI]
- 24 G-Function Solutions for Schrödinger Equation in Cylindrical Coordinates System [DOI]
- 25 Generalized Harmonic Oscillator and the Schrödinger Equation with Position-Dependent Mass [DOI]
- 26 Scattering states of a particle, with position-dependent mass, in a ${{{\mathcal P}{\mathcal T}}}$-symmetric heterojunction [DOI]
- 27 Quantum chemical study on substituent effect of gas‐phase reactions in III–V nitride semiconductor crystal growth [DOI]
- 28 Comparison Theorems for the Position-Dependent Mass Schrödinger Equation [DOI]
- 29 Semiclassical Expansion of the Slater Sum for Position Dependent Mass Distributions in d Dimensions [DOI]
Cited by 6
M. Vubangsi, M. Tchoffo, L. C. Fai · Journal of Mathematical Physics · 2015
Rami Ahmad El-Nabulsi · Journal of Physics and Chemistry of Solids · 2020
M. Tchoffo, L. S. Yonya Tchapda, M. Vubangsi · The European Physical Journal Plus · 2020
Showing 3 of 6 known citations — external sources report more than can currently be individually listed.
Related research
- Particle in a Box with Generalized Uncertainty Principle — shares topic coverage
Article metrics
Real usage data collected on this platform.
52
Page views
0
PDF downloads
13
Outbound clicks
6
Citations
Views over time
Views by country
Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".
Traffic sources
Referring site, by host.
Views and downloads exclude known bots/crawlers. Citations combines this platform's own DOI-resolved index with each external source's own reported total — see Cited by above for individually listed citing works. Last refreshed 0 seconds ago.