Solution of Dirac equation with spin and pseudospin symmetry for an anharmonic oscillator

Journal Article · Sat Jan 15 00:00:00 EST 2011 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.3532930· OSTI ID:21501249

Goudarzi, H; Sohbati, M; Zarrin, S ^[1]

---

1. Department of Physics, Faculty of Science, Urmia University , Urmia, P.O. Box 165 (Iran, Islamic Republic of)

We present the exact solutions of Dirac equation with anharmonic oscillator potential using the Nikiforov-Uvarov method. Taking into account potentials of vector field V(r) and scalar field S(r) in Dirac Hamiltonian, the bound state energy eigenvalues and the corresponding upper and lower two-component spinors of fermion are obtained. These solutions are considered in the framework of the spin and pseudospin symmetry concept.

• OSTI ID: 21501249
• Journal Information: Journal of Mathematical Physics, Vol. 52, Issue 1; Other Information: DOI: 10.1063/1.3532930; (c) 2011 American Institute of Physics; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
97 MATHEMATICAL METHODS AND COMPUTING
ANHARMONIC OSCILLATORS
BOUND STATE
DIRAC EQUATION
EIGENFUNCTIONS
EIGENVALUES
EXACT SOLUTIONS
FERMIONS
HAMILTONIANS
HARMONIC OSCILLATORS
POTENTIALS
QUANTUM MECHANICS
RELATIVISTIC RANGE
SCALAR FIELDS
SPIN
SPINORS
SYMMETRY
VECTOR FIELDS
WAVE FUNCTIONS
ANGULAR MOMENTUM
DIFFERENTIAL EQUATIONS
ENERGY RANGE
EQUATIONS
FIELD EQUATIONS
FUNCTIONS
MATHEMATICAL OPERATORS
MATHEMATICAL SOLUTIONS
MECHANICS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE PROPERTIES
QUANTUM OPERATORS
WAVE EQUATIONS