BOUND STATE SOLUTIONS OF THE DIRAC EQUATION FOR THE SCARF-TYPE POTENTIAL USING NIKIFOROV–UVAROV METHOD

DOI10.1142/S0217732309028941zbMath1170.81366MaRDI QIDQ3397809

H. Motavali

Publication date: 25 September 2009

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

zbMATH Keywords

exact solutionDirac equationScarf-type potential

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40)

Related Items (10)

\(q\)-deformed superstatistics of the anharmonic oscillator for unrelativistic and relativistic (K-G equation) cases in noncommutative plane ⋮ Exact solution of the Dirac equation for the Yukawa potential with scalar and vector potentials and tensor interaction ⋮ Factorization method and special orthogonal functions ⋮ On the calculation of the discrete spectra of one‐dimensional Dirac operators ⋮ Analytical solution of a wave equation in cosmology ⋮ Bound state solutions of the Dirac equation for the trigonometric and hyperbolic Scarf-Grosche potentials using the Nikiforov-Uvarov method ⋮ Approximate bound state solutions of Dirac equation with Hulthén potential including Coulomb-like tensor potential ⋮ Exact solutions of the Klein-Gordon equation for the Scarf-type potential via Nikiforov-Uvarov method ⋮ KLEIN–GORDON EQUATION FOR THE COULOMB POTENTIAL IN NONCOMMUTATIVE SPACE ⋮ Analytical solution of the Schrödinger equation with spatially varying effective mass for generalised Hylleraas potential

Cites Work

• Exactly solvable supersymmetric quantum mechanics
• Bound states of the Dirac equation for the \(PT\)-symmetric generalized Hulthén potential by the Nikiforov-Uvarov method
• Exact solutions of the Schrödinger equation for the deformed hyperbolic potential well and the deformed four-parameter exponential type potential
• Dirac equation exact solutions for generalized asymmetrical Hartmann potentials
• Bound states of the five-parameter exponential-type potential model
• Mapping deformed hyperbolic potentials into nondeformed ones
• Exact solutions of the Dirac equation with scalar and vector Hartmann potentials
• PT/non-PT symmetric and non-Hermitian Pöschl–Teller-like solvable potentials via Nikiforov–Uvarov method
• Exact analytical solution to the relativistic Klein-Gordon equation with noncentral equal scalar and vector potentials
• CREATION AND ANNIHILATION OPERATORS AND COHERENT STATES FOR THE PT-SYMMETRIC OSCILLATOR
• EXACT SOLUTIONS OF THE KLEIN–GORDON EQUATION FOR THE ROSEN–MORSE TYPE POTENTIALS VIA NIKIFOROV–UVAROV METHOD
• Exact Solutions of the Schrödinger Equation for Two “Deformed” Hyperbolic Molecular Potentials
• Confinement properties for the Dirac equation with scalar-like and vector-like potentials
• SUPERSYMMETRIC APPROACH TO EXACTLY SOLVABLE SYSTEMS WITH POSITION-DEPENDENT EFFECTIVE MASSES
• EXACT SOLUTIONS OF EFFECTIVE-MASS SCHRÖDINGER EQUATIONS
• NEW SOLVABLE PSEUDO-HERMITIAN POTENTIAL MODELS WITH REAL SPECTRA
• PT symmetry and shape invariance for a potential well with a barrier

This page was built for publication: BOUND STATE SOLUTIONS OF THE DIRAC EQUATION FOR THE SCARF-TYPE POTENTIAL USING NIKIFOROV–UVAROV METHOD