Relativistic solutions for the spin-1 particles in the two-dimensional Smorodinsky–Winternitz potential

Journal Article · Thu May 15 04:00:00 EDT 2014 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/J.AOP.2014.02.010· OSTI ID:22314806

Yasuk, F. ^[1]

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1. Department of Physics, Erciyes University, 38039, Kayseri (Turkey)

In this study, we investigate relativistic spin-1 particles in the V(x,y)=(ω{sub 0}{sup 2}/2)(x{sup 2}+y{sup 2})+k{sub 1}/x{sup 2}+k{sub 2}/y{sup 2} type of Smorodinsky–Winternitz potentials. In the first case, since this Smorodinsky–Winternitz potential has two dimensions, the system was transformed into polar coordinates from Cartesian coordinates. By using Duffin–Kemmer–Petiau formalism with the non-central Smorodinsky–Winternitz potential in two dimensions, the exact bound state energy eigenvalues and corresponding eigenfunctions were determined within the framework of the asymptotic iteration method. Bound state eigenfunctions were obtained in terms of confluent hypergeometric functions. -- Highlights: •We introduce formalism of the DKP equation in two dimensions. •The DKP equation with S–W potential is considered for spin-1 particles. •In order to solve the DKP equation, we explain the asymptotic iteration method (AIM). •Bound state energy eigenvalues and eigenfunctions are obtained by using AIM.

• OSTI ID: 22314806
• Journal Information: Annals of Physics (New York), Journal Name: Annals of Physics (New York) Journal Issue: Complete Vol. 344; ISSN 0003-4916; ISSN APNYA6
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ASYMPTOTIC SOLUTIONS
BOSONS
BOUND STATE
CARTESIAN COORDINATES
EIGENFUNCTIONS
EIGENVALUES
HYPERGEOMETRIC FUNCTIONS
POTENTIALS
RELATIVISTIC RANGE
SPIN
TWO-DIMENSIONAL CALCULATIONS