Simple bound state energy spectra solutions of Dirac equation for Hulthén and Eckart potentials

DOI10.1063/1.4826358zbMath1284.81103OpenAlexW2073533240MaRDI QIDQ5410910

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Publication date: 17 April 2014

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

Full work available at URL: https://doi.org/10.1063/1.4826358

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) Exactly and quasi-solvable systems arising in quantum theory (81U15)

Cites Work

• Exact analytical solutions of the wave function for some \(q\)-deformed potentials
• 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
• Dirac equation with coupling to \(1/r\) singular vector potentials for all angular momenta
• Generalized Dirac equation with induced energy-dependent potential via simple similarity transformation and asymptotic iteration methods
• On an iteration method for eigenvalue problems
• Quantum mechanics of the damped pulsating oscillator
• Asymptotic iteration method for eigenvalue problems
• A Lie algebraic approach to effective mass Schrödinger equations
• 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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