Bound states of the spin-orbit coupled ultracold atom in a one-dimensional short-range potential

DOI10.1063/1.4807419zbMath1282.81208arXiv1305.2316OpenAlexW2008868105MaRDI QIDQ5402287

Rytis Juršėnas, Julius Ruseckas

Publication date: 6 March 2014

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

Full work available at URL: https://arxiv.org/abs/1305.2316

zbMATH Keywords

spin-orbit couplingRaman coupling

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) Atomic physics (81V45) Many-body theory; quantum Hall effect (81V70)

Cites Work

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• Relativistic point interactions: Approximation by smooth potentials
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• Explicit formulas for generalized harmonic perturbations of the infinite quantum well with an application to Mathieu equations
• Dirac deltas and discontinuous functions
• Generalized point interactions in one-dimensional quantum mechanics
• The Fermi pseudo-potential in one dimension
• Boundary conditions at the derivative of a delta function
• Spin-Orbit Coupling Effects in Zinc Blende Structures

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