Discrete spectra of the Dirac Hamiltonian in Coulomb and Aharonov-Bohm potentials in \(2+1\) dimensions

DOI10.1007/S11232-011-0145-4zbMath1274.81079OpenAlexW1972583033MaRDI QIDQ376952

Mohammad Hasan, H. S. Yoon

Publication date: 6 November 2013

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11232-011-0145-4

zbMATH Keywords

spinsymmetric operatorAharonov-Bohm potentialCoulomb potential in \(2+1\) dimensionsself-adjoint extension of the Hamiltonian

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10)

Related Items (1)

Zero-mass fermions in Coulomb and Aharonov-Bohm potentials in 2+1 dimensions

Cites Work

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• Scattering of spin-polarized electron in an Aharonov-Bohm potential
• The Dirac Hamiltonian with a superstrong Coulomb field
• A \((2+1)\)-dimensional gauge model with electrically charged fermions
• Schrödinger and Dirac operators with the Aharonov–Bohm and magnetic-solenoid fields
• Significance of Electromagnetic Potentials in the Quantum Theory
• Aharonov-Bohm scattering of particles with spin

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