The Dirac oscillator in the presence of a chain of delta-function potentials

DOI10.1063/1.4942493zbMath1332.81035OpenAlexW2339629588MaRDI QIDQ2795606

O. Aouadi, Y. Chargui, M. S. Fayache

Publication date: 21 March 2016

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

Full work available at URL: https://doi.org/10.1063/1.4942493

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Operations with distributions and generalized functions (46F10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

Related Items (5)

Interaction of the Dirac oscillator with the Aharonov-Bohm potential in (1+2)-dimensional Gürses space-time backgrounds ⋮ A novel exact solution of the 2+1-dimensional radial Dirac equation for the generalized Dirac oscillator with the inverse potentials ⋮ The variational method applied to the harmonic oscillator in the presence of a delta function potential ⋮ Generalized Dirac oscillator in cosmic string space-time ⋮ Superstatistical properties of the one-dimensional Dirac oscillator

Cites Work

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• Solution of the central field problem for a Duffin–Kemmer–Petiau vector boson
• Dirac oscillator with nonzero minimal uncertainty in position
• The Duffin-Kemmer-Petiau oscillator
• The Dirac oscillator. A relativistic version of the Jaynes-Cummings model
• Bound states ofn-dimensional harmonic oscillator decorated with Dirac delta functions

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