Dirac oscillator in an external magnetic field

Dirac oscillator in an external magnetic field

We show that ( 2 + 1 )-dimensional Dirac oscillators in an external magnetic field is mapped onto the same with reduced angular frequency in absence of magnetic field. This can be used to study the atomic transitions in a radiation field. Relativistic Landau levels are constructed explicitly. Severa...

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Veröffentlicht in:Physics letters. A 2010-02, Vol.374 (8), p.1021-1023
Hauptverfasser: Mandal, Bhabani Prasad, Verma, Shweta
Format: Artikel
Sprache:eng
Schlagworte:
Dirac oscillator
Graphene
Jaynes–Cumming model
Relativistic Landau levels
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Zusammenfassung:We show that ( 2 + 1 )-dimensional Dirac oscillators in an external magnetic field is mapped onto the same with reduced angular frequency in absence of magnetic field. This can be used to study the atomic transitions in a radiation field. Relativistic Landau levels are constructed explicitly. Several interesting features of this system are discussed.
ISSN:0375-9601
1873-2429
DOI:10.1016/j.physleta.2009.12.048