Dirac bound states of anharmonic oscillator in external fields

Journal Article · Sat Feb 15 04:00:00 EST 2014 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/J.AOP.2013.12.003· OSTI ID:22233550

Hamzavi, Majid ^[1]

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1. Department of Physics, University of Zanjan, Zanjan (Iran, Islamic Republic of)

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.

• OSTI ID: 22233550
• Journal Information: Annals of Physics (New York), Journal Name: Annals of Physics (New York) Vol. 341; ISSN 0003-4916; ISSN APNYA6
• Country of Publication: United States
• Language: English

Related Subjects

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