Abstract
We introduce a Dirac equation which reproduces the usual radial sextic oscillator potential in the non-relativistic limit. We determine its energy spectrum in the presence of the magnetic field. It is shown that the equation is solved in the context of quasi-exactly-solvable problems. The equation possesses hidden sl2-algebra and the destroyed symmetry of the equation can be recovered for specific values of the magnetic field which leads to exact determination of the eigenvalues.
| Original language | English |
|---|---|
| Pages (from-to) | 201-205 |
| Number of pages | 5 |
| Journal | Turkish Journal of Physics |
| Volume | 29 |
| Issue number | 4 |
| Publication status | Published - Jul 2005 |
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Keywords
- Dirac sextic oscillator
- Quasi-exactly solvable systems
ASJC Scopus subject areas
- Physics and Astronomy(all)
Cite this
Dirac sextic oscillator in the constant magnetic field. / Koç, Ramazan; Koça, Mehmet.
In: Turkish Journal of Physics, Vol. 29, No. 4, 07.2005, p. 201-205.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Dirac sextic oscillator in the constant magnetic field
AU - Koç, Ramazan
AU - Koça, Mehmet
PY - 2005/7
Y1 - 2005/7
N2 - We introduce a Dirac equation which reproduces the usual radial sextic oscillator potential in the non-relativistic limit. We determine its energy spectrum in the presence of the magnetic field. It is shown that the equation is solved in the context of quasi-exactly-solvable problems. The equation possesses hidden sl2-algebra and the destroyed symmetry of the equation can be recovered for specific values of the magnetic field which leads to exact determination of the eigenvalues.
AB - We introduce a Dirac equation which reproduces the usual radial sextic oscillator potential in the non-relativistic limit. We determine its energy spectrum in the presence of the magnetic field. It is shown that the equation is solved in the context of quasi-exactly-solvable problems. The equation possesses hidden sl2-algebra and the destroyed symmetry of the equation can be recovered for specific values of the magnetic field which leads to exact determination of the eigenvalues.
KW - Dirac sextic oscillator
KW - Quasi-exactly solvable systems
UR - http://www.scopus.com/inward/record.url?scp=30444438862&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=30444438862&partnerID=8YFLogxK
M3 - Article
VL - 29
SP - 201
EP - 205
JO - Turkish Journal of Physics
JF - Turkish Journal of Physics
SN - 1300-0101
IS - 4
ER -