EXACT SPIN AND PSEUDO-SPIN SYMMETRIC SOLUTIONS OF THE DIRAC–KRATZER PROBLEM WITH A TENSOR POTENTIAL VIA LAPLACE TRANSFORM APPROACH

DOI10.1142/S0217732312501714zbMath1260.81063arXiv1209.0316MaRDI QIDQ4913338

Ramazan Sever, Altuğ Arda

Publication date: 5 April 2013

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

Full work available at URL: https://arxiv.org/abs/1209.0316

zbMATH Keywords

Laplace transformanalytical solutionexact solutionDirac equationbound stateKratzer potential

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) Laplace transform (44A10) Exactly and quasi-solvable systems arising in quantum theory (81U15)

Related Items (2)

The equation-transform model for Dirac-Morse problem including Coulomb tensor interaction ⋮ Bound State Solutions of the Klein-Gordon Equation for Rosen-Morse Potential in Spin and Pseudo-Spin Symmetry

Cites Work

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• Exact solutions of the Schrödinger equation via Laplace transform approach: pseudoharmonic potential and Mie-type potentials
• Exact solution of the Dirac equation with the Mie-type potential under the pseudospin and spin symmetry limit
• Dirac and Klein-Gordon equations with equal scalar and vector potentials
• The exact solutions of the Schrödinger equation with the Morse potential via Laplace transforms
• AN APPROXIMATE SOLUTION OF THE DIRAC EQUATION FOR HYPERBOLIC SCALAR AND VECTOR POTENTIALS AND A COULOMB TENSOR INTERACTION BY SUSYQM
• Relativistic treatment of a spin-zero particle subject to a Kratzer-type potential

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