BOUND STATES OF THE KLEIN–GORDON EQUATION FOR WOODS–SAXON POTENTIAL WITH POSITION DEPENDENT MASS

DOI10.1142/S0129183108012480zbMath1153.82303arXiv0712.4192OpenAlexW3102376841MaRDI QIDQ3542835

Altuğ Arda, Ramazan Sever

Publication date: 1 December 2008

Published in: International Journal of Modern Physics C (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0712.4192

zbMATH Keywords

Klein-Gordon equationeigenfunctionsPT-symmetryenergy eigenvaluesNikiforov-Uvarov methodposition dependent massWoods-Saxon potential

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Quantum equilibrium statistical mechanics (general) (82B10)

Related Items

Bound-state solution of \(s\)-wave Klein-Gordon equation for Woods-Saxon potential ⋮ Analytical solution of the Schrödinger equation with spatially varying effective mass for generalised Hylleraas potential

Cites Work

• Unnamed Item
• Exact solvability of potentials with spatially dependent effective masses
• Confinement of spinless particles by Coulomb potentials in two-dimensional space-time
• Solution of the Dirac equation with position-dependent mass in the Coulomb field
• Bound states of the Klein-Gordon equation with vector and scalar Rosen-Morse-type potentials
• Klein-Gordon particles in mixed vector-scalar inversely linear potentials
• Hypervirial perturbation theory revisited
• Exact soliton-on-plane-wave solutions for two-component Bose-Einstein condensates
• The Klein–Gordon equation of generalized Hulthén potential in complex quantum mechanics
• Exact solution of the Klein-Gordon equation for the PT-symmetric generalized Woods-Saxon potential by the Nikiforov-Uvarov method
• EIGENVALUES AND EIGENFUNCTIONS OF WOODS–SAXON POTENTIAL IN PT-SYMMETRIC QUANTUM MECHANICS
• Time-dependent diffeomorphisms as quantum canonical transformations and the time-dependent harmonic oscillator
• New shape-invariant potentials in supersymmetric quantum mechanics
• The Kepler problem in Dirac theory for a particle with position-dependent mass
• Analytical Solutions for Velocity-Dependent Nuclear Potentials
• The Structure of Electronic Excitation Levels in Insulating Crystals
• Electrons in Perturbed Periodic Lattices
• Motion of Electrons and Holes in Perturbed Periodic Fields