Dirac equations with confining potentials

DOI10.1142/S0217751X15500025zbMath1315.81039arXiv1410.1516MaRDI QIDQ5252787

J. H. Noble, Ulrich D. Jentschura

Publication date: 3 June 2015

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.1516

zbMATH Keywords

Dirac equationFoldy-Wouthuysen methodlinear confining potentials

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) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20)

Related Items (8)

On the Majorana fermion subject to a linear confinement ⋮ On a neutral particle with a magnetic quadrupole moment in a uniform effective magnetic field ⋮ On a relativistic particle and a relativistic position-dependent mass particle subject to the Klein-Gordon oscillator and the Coulomb potential ⋮ On a relation of the angular frequency to the Aharonov-Casher geometric phase in a quantum dot ⋮ Linear confinement of spin-0 relativistic quantum particles in (1+2)-dimensions Gürses space-time ⋮ Effects of the Kaluza–Klein theory on a Klein–Gordon particle with position-dependent mass ⋮ Aharonov–Bohm effect for bound states in relativistic scalar particle systems in a spacetime with a spacelike dislocation ⋮ Noncommutative space effects on the Landau system for a neutral particle with induced electric dipole moment under a linear confining potential

Cites Work

• A unified treatment of the non-relativistic and relativistic hydrogen atom: III. The reduced Green functions
• A unified treatment of the non-relativistic and relativistic hydrogen atom I: The wavefunctions
• A unified treatment of the non-relativistic and relativistic hydrogen atom II: the Green functions
• Foldy–Wouthuysen transformation, scalar potentials and gravity
• Nuclear Configurations in the Spin-Orbit Coupling Model. I. Empirical Evidence
• Nuclear Configurations in the Spin-Orbit Coupling Model. II. Theoretical Considerations
• On the Dirac Theory of Spin 1/2 Particles and Its Non-Relativistic Limit

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