Mapping between charge-monopole and position-dependent mass systems

DOI10.1063/1.5039622zbMath1400.81101OpenAlexW2890543716MaRDI QIDQ4556617

Anderson L. de Jesus, Alexandre G. M. Schmidt

Publication date: 16 November 2018

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.5039622

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Electromagnetic interaction; quantum electrodynamics (81V10) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Related Items (6)

Exact solution and coherent states of an asymmetric oscillator with position-dependent mass ⋮ Exact solutions of Dirac equation on a static curved space-time ⋮ κ-Deformed quantum and classical mechanics for a system with position-dependent effective mass ⋮ Exact mapping between charge-monopole and position-dependent effective mass systems via Pauli equation ⋮ Mapping Between Charge-Dyon and Position-Dependent Mass Systems* ⋮ Coherent and Squeezed States: Introductory Review of Basic Notions, Properties, and Generalizations

Cites Work

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• First-order intertwining operators and position-dependent mass Schrödinger equations in \(d\) dimensions
• Ordering ambiguity revisited via position dependent mass pseudo-momentum operators
• Observation of isolated monopoles in a quantum field
• Motion of position-dependent effective mass as a damping–antidamping process: application to the Fermi gas and to the Morse potential
• MORSE POTENTIAL AND ITS RELATIONSHIP WITH THE COULOMB IN A POSITION-DEPENDENT MASS BACKGROUND
• Squeezing a wave packet with an angular-dependent mass
• Quantised singularities in the electromagnetic field,
• A position-dependent mass harmonic oscillator and deformed space
• Two-dimensional position-dependent massive particles in the presence of magnetic fields
• Magnetic Monopoles

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