Exact solutions of a spatially dependent mass Dirac equation for Coulomb field plus tensor interaction via Laplace transformation method

DOI10.1155/2012/873619zbMath1263.81155arXiv1212.1566OpenAlexW2116824446WikidataQ58698498 ScholiaQ58698498MaRDI QIDQ1949957

M. Eshghi, Majid Hamzavi, Sameer M. Ikhdair

Publication date: 21 May 2013

Published in: Advances in High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.1566

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 (1)

The quadratic plus the tensor potentials for particle with 1/2-spin via L ² method under the spin symmetry

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Solution of the Dirac equation in the tridiagonal representation with pseudospin symmetry for an anharmonic oscillator and electric dipole ring-shaped potential
• Exact pseudospin symmetry solution of the Dirac equation for spatially-dependent mass Coulomb potential including a Coulomb-like tensor interaction via asymptotic iteration method
• Exact solutions of the Schrödinger equation via Laplace transform approach: pseudoharmonic potential and Mie-type potentials
• Dirac equation with scalar and vector quadratic potentials and Coulomb-like tensor potential
• Real spectra for the non-Hermitian Dirac equation in 1+1 dimensions with the most general coupling
• Exact solution of the Dirac equation with the Mie-type potential under the pseudospin and spin symmetry limit
• Solutions of the spatially-dependent mass Dirac equation with the spin and pseudospin symmetry for the Coulomb-like potential
• Approximation solution of the Dirac equation with position-dependent mass for the generalized Hulthén potential
• Solution of the Dirac equation with position-dependent mass in the Coulomb field
• The exact solutions of the Schrödinger equation with the Morse potential via Laplace transforms
• Extension of PT-symmetric quantum mechanics to the Dirac theory with position-dependent mass
• Effect of tensor interaction in the Dirac-attractive radial problem under pseudospin symmetry limit
• Spin Symmetry in Dirac-Attractive Radial Problem and Tensor Potential
• Approximate analytical solutions of the Dirac equation with the Pöschl–Teller potential including the spin–orbit coupling term
• New exact solution of the one-dimensional Dirac equation for the Woods–Saxon potential within the effective mass case
• A unified treatment of the non-relativistic and relativistic hydrogen atom I: The wavefunctions

This page was built for publication: Exact solutions of a spatially dependent mass Dirac equation for Coulomb field plus tensor interaction via Laplace transformation method