Solution of the Dirac equation in the tridiagonal representation with pseudospin symmetry for an anharmonic oscillator and electric dipole ring-shaped potential

DOI10.1016/j.aop.2011.12.002zbMath1243.81075OpenAlexW2002311186MaRDI QIDQ412147

Guo-Qing Huang-Fu, Min-Cang Zhang

Publication date: 4 May 2012

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

Full work available at URL: https://doi.org/10.1016/j.aop.2011.12.002

zbMATH Keywords

Dirac equationpseudospin symmetryelectric dipole potentialsquare integrable basistridiagonal representation

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Related Items (5)

Hidden pseudospin and spin symmetries and their origins in atomic nuclei ⋮ The \((2+1)\) curved Dirac equation in polar coordinates in the presence of electromagnetic field ⋮ Exact solutions of a spatially dependent mass Dirac equation for Coulomb field plus tensor interaction via Laplace transformation method ⋮ Dirac bound states of anharmonic oscillator in external fields ⋮ The quadratic plus the tensor potentials for particle with 1/2-spin via L ² method under the spin symmetry

Cites Work

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• Critical electric dipole moment in one dimension
• An extended class of \(L^2\)-series solutions of the wave equation
• Pseudospin symmetry and the relativistic ring-shaped non-spherical harmonic oscillator
• Exact solutions and ladder operators for a new anharmonic oscillator
• Analytical treatment of the Yukawa potential
• A new ring-shaped potential and its dynamical invariance algebra
• Extending the class of solvable potentials: III. The hyperbolic single wave
• Exact solution for a noncentral electric dipole ring-shaped potential in the tridiagonal representation
• Extending the class of solvable potentials. I. The infinite potential well with a sinusoidal bottom

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