Generalized Dirac equation with induced energy-dependent potential via simple similarity transformation and asymptotic iteration methods

DOI10.1007/s10701-013-9738-0zbMath1291.81129OpenAlexW1970201791MaRDI QIDQ2015088

Yanyan Li

Publication date: 18 June 2014

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

Full work available at URL: https://doi.org/10.1007/s10701-013-9738-0

zbMATH Keywords

generalized Dirac equationtensor potentialinduced energy-dependent potentialpseudospin symmetry breaking mechanismsimilarity transformation and asymptotic iteration methodsspatially-dependent mass potential

Mathematics Subject Classification ID

Dimensional analysis and similarity applied to problems in fluid mechanics (76M55) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Symmetry breaking in quantum theory (81R40)

Related Items (2)

Hidden pseudospin and spin symmetries and their origins in atomic nuclei ⋮ Simple bound state energy spectra solutions of Dirac equation for Hulthén and Eckart potentials

Cites Work

• The asymptotic iteration method for the eigenenergies of the anharmonic oscillator potential \(V(x)=Ax^{2\alpha} +Bx^2\)
• Perturbed Coulomb potentials in the Klein-Gordon equation via the asymptotic iteration method
• On an iteration method for eigenvalue problems
• Polarization in Nuclear Reactions
• Energy-dependent potentials and the problem of the equivalent local potential
• Group theoretic approach for a Dirac particle in Coulomb-like potentials
• Asymptotic iteration method for eigenvalue problems
• The asymptotic iteration method for the angular spheroidal eigenvalues
• Relativistic energy eigenvalues for the Dirac equation in the presence of vector and scalar potentials via the simple similarity transformation

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