The relativistic treatment of spin-0 particles under the rotating Morse oscillator

Journal Article · Mon Nov 15 04:00:00 EST 2010 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.3503413· OSTI ID:21501201

Bayrak, O; Boztosun, I ^[1]; Soylu, A ^[2]

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1. Department of Physics, Akdeniz University, 07058 Antalya (Turkey)
2. Department of Physics, Nigde University, 51240 Nigde (Turkey)

We present the energy eigenvalues and corresponding normalized eigenfunctions of the relativistic spin-0 particles by solving the Klein-Gordon equation. Analytical forms for the energy eigenvalues and eigenfunctions have been derived by using Pekeris approximation to the centrifugal term within the framework of the asymptotic iteration method for the equal vector and scalar rotating Morse oscillator. The eigenvalue equation results in a transcendental form, in which the numerical values are presented in atomic units for arbitrary n and l quantum states.

• OSTI ID: 21501201
• Journal Information: Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 11 Vol. 51; ISSN JMAPAQ; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
APPROXIMATIONS
ASYMPTOTIC SOLUTIONS
CALCULATION METHODS
DIFFERENTIAL EQUATIONS
EIGENFUNCTIONS
EIGENVALUES
ELECTRONIC EQUIPMENT
ENERGY RANGE
EQUATIONS
EQUIPMENT
FIELD EQUATIONS
FIELD THEORIES
FUNCTIONS
KLEIN-GORDON EQUATION
MATHEMATICAL SOLUTIONS
MORSE POTENTIAL
NONLINEAR PROBLEMS
OSCILLATORS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE PROPERTIES
POTENTIALS
QUANTUM FIELD THEORY
QUANTUM STATES
RELATIVISTIC RANGE
SCALARS
SPIN
TENSORS
VECTORS
WAVE EQUATIONS