Bound state solution of Dirac equation for 3D harmonics oscillator plus trigonometric scarf noncentral potential using SUSY QM approach
Abstract
Dirac equation of 3D harmonics oscillator plus trigonometric Scarf non-central potential for spin symmetric case is solved using supersymmetric quantum mechanics approach. The Dirac equation for exact spin symmetry reduces to Schrodinger like equation. The relativistic energy and wave function for spin symmetric case are simply obtained using SUSY quantum mechanics method and idea of shape invariance.
- Authors:
- Physics Department, Sebelas Maret University, Jl. Ir. Sutami no 36A Kentingan Surakarta 57126 (Indonesia)
- Publication Date:
- OSTI Identifier:
- 22307846
- Resource Type:
- Journal Article
- Journal Name:
- AIP Conference Proceedings
- Additional Journal Information:
- Journal Volume: 1615; Journal Issue: 1; Conference: ICANSE 2013: 4. international conference on advances in nuclear science and engineering, Denpasar, Bali (Indonesia), 16-19 Sep 2013; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0094-243X
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BOUND STATE; CENTRAL POTENTIAL; DIRAC EQUATION; HARMONICS; MATHEMATICAL SOLUTIONS; OSCILLATORS; QUANTUM MECHANICS; RELATIVISTIC RANGE; SCHROEDINGER EQUATION; SPIN; SUPERSYMMETRY; THREE-DIMENSIONAL CALCULATIONS
Citation Formats
Cari, C., E-mail: carinln@yahoo.com, and Suparmi, A., E-mail: carinln@yahoo.com. Bound state solution of Dirac equation for 3D harmonics oscillator plus trigonometric scarf noncentral potential using SUSY QM approach. United States: N. p., 2014.
Web. doi:10.1063/1.4895870.
Cari, C., E-mail: carinln@yahoo.com, & Suparmi, A., E-mail: carinln@yahoo.com. Bound state solution of Dirac equation for 3D harmonics oscillator plus trigonometric scarf noncentral potential using SUSY QM approach. United States. https://doi.org/10.1063/1.4895870
Cari, C., E-mail: carinln@yahoo.com, and Suparmi, A., E-mail: carinln@yahoo.com. 2014.
"Bound state solution of Dirac equation for 3D harmonics oscillator plus trigonometric scarf noncentral potential using SUSY QM approach". United States. https://doi.org/10.1063/1.4895870.
@article{osti_22307846,
title = {Bound state solution of Dirac equation for 3D harmonics oscillator plus trigonometric scarf noncentral potential using SUSY QM approach},
author = {Cari, C., E-mail: carinln@yahoo.com and Suparmi, A., E-mail: carinln@yahoo.com},
abstractNote = {Dirac equation of 3D harmonics oscillator plus trigonometric Scarf non-central potential for spin symmetric case is solved using supersymmetric quantum mechanics approach. The Dirac equation for exact spin symmetry reduces to Schrodinger like equation. The relativistic energy and wave function for spin symmetric case are simply obtained using SUSY quantum mechanics method and idea of shape invariance.},
doi = {10.1063/1.4895870},
url = {https://www.osti.gov/biblio/22307846},
journal = {AIP Conference Proceedings},
issn = {0094-243X},
number = 1,
volume = 1615,
place = {United States},
year = {Tue Sep 30 00:00:00 EDT 2014},
month = {Tue Sep 30 00:00:00 EDT 2014}
}
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