skip to main content

SciTech ConnectSciTech Connect

Title: Dirac bound states of anharmonic oscillator in external fields

We explore the effect of the external magnetic and Aharonov–Bohm (AB) flux fields on the energy levels of Dirac particle subjects to mixed scalar and vector anharmonic oscillator field in the two-dimensional (2D) space. We calculate the exact energy eigenvalues and the corresponding un-normalized two-spinor-components wave functions in terms of the chemical potential parameter, magnetic field strength, AB flux field and magnetic quantum number by using the Nikiforov–Uvarov (NU) method. -- Highlights: • Effect of the external fields on the energy levels of Dirac particle with the anharmonic oscillator is investigated. • The solutions are discussed in view of spin and pseudospin symmetries limits. • The energy levels and wave function are presented by the Nikiforov–Uvarov method.
Authors:
 [1] ;  [2] ;  [3] ;  [4]
  1. Department of Physics, University of Zanjan, Zanjan (Iran, Islamic Republic of)
  2. Department of Physics, Faculty of Science, an-Najah National University, Nablus, West Bank, Palestine (Country Unknown)
  3. (Turkey)
  4. Theoretical Physics Section, Department of Physics, University of Ilorin, P. M. B. 1515, Ilorin (Nigeria)
Publication Date:
OSTI Identifier:
22233550
Resource Type:
Journal Article
Resource Relation:
Journal Name: Annals of Physics (New York); Journal Volume: 341; Other Information: Copyright (c) 2013 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ANHARMONIC OSCILLATORS; BOUND STATE; DIRAC EQUATION; EIGENVALUES; ENERGY LEVELS; MAGNETIC FIELDS; MATHEMATICAL SOLUTIONS; SCALARS; SPACE; SPIN; SYMMETRY; WAVE FUNCTIONS