Relativistic study of the energy-dependent Coulomb potential including Coulomb-like tensor interaction

2012/05/10 by M. Hamzavi, Majid Hamzavi, Sameer M. Ikhdair · 8 citations
Physics and Astronomy · #Coulomb #Coulomb barrier #Coulomb wave function #Coulomb's constant #Dirac equation #Eigenfunction #Eigenvalues and eigenvectors #Electric potential #Mathematical physics #Nuclear physics research studies #Physics #Quantum Mechanics and Non-Hermitian Physics #Quantum electrodynamics #Quantum mechanics #Quantum, superfluid, helium dynamics #Relativistic wave equations #Spin (aerodynamics) #Tensor (intrinsic definition) #nucl-th #quant-ph

paper · pdf · doi:10.1139/p2012-061

published in Canadian Journal of Physics 90(7), 655-660 (NRC Research Press) · 13 pages, to appear in Canadian Journal of Physics (2012)

arxiv created 2012/05/10 · openalex publication_date 2012/07/01 · openalex created_date 2016/06/24 · arxiv updated 2017/08/02 · openalex updated_date 2026/08/05

Abstract

The exact Dirac equation for the energy-dependent Coulomb (EDC) potential including a Coulomb-like tensor (CLT) potential has been studied in the presence of spin and pseudospin symmetries with arbitrary spin–orbit quantum number, κ. The energy eigenvalues and corresponding eigenfunctions are obtained in the framework of the asymptotic iteration method. Some numerical results are obtained in the presence and absence of EDC and CLT potentials.

Citations

• The two-fermion relativistic wave equations of constraint theory in the Pauli–Schrödinger form
• Pseudospin as a Relativistic Symmetry
• Dirac equation exact solutions for generalized asymmetrical Hartmann potentials
• ASYMPTOTIC ITERATION METHOD FOR SINGULAR POTENTIALS
• Effect of tensor couplings in a relativistic Hartree approach for finite nuclei
• Exact Klein-Gordon equation with spatially dependent masses for unequal scalar-vector Coulomb-like potentials
• Quantum hadrodynamics