A B C

Zeitschrift für Naturforschung A Contents Vol. 67a (2012)

Z. Naturforsch. 67a, 567 – 571 (2012)

doi:10.5560/ZNA.2012-0046

Pseudospin Symmetry in the Relativistic Killingbeck Potential: Quasi-Exact Solution

Majid Hamzavi¹, Sameer M. Ikhdair², and Karl-Erik Thylwe³

¹Department of Basic Sciences, Shahrood Branch, Islamic Azad University, Shahrood, Iran

²Physics Department, Near East University, 922022, Nicosia, North Cyprus, Mersin 10, Turkey

³KTH-Mechanics, Royal Institute of Technology, S-100 44 Stockholm, Sweden

Received December 15, 2011 / revised May 23, 2012 / published online August 20, 2012

Reprint requests to: M. H.; Tel.: +98 273 3395270, Fax: +98 273 3395270, E-mail: majid.hamzavi@gmail.com

The Killingbeck potential consisting of the harmonic oscillator plus Cornell potential, ar² + br − c/r, is of great interest in particle physics. The solution of the Dirac equation with the Killingbeck potential is studied in the presence of the pseudospin (p-spin) symmetry within the context of quasi-exact solutions. Two special cases of the harmonic oscillator and Coulomb potential are also discussed.

Key words: Dirac Equation; Killingbeck Potential; P-Spin Symmetry; Quasi-Exact Solution.

PACS numbers: 03.65.Fd; 02.30.Pm; 03.65.Ge

Full-text PDF