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Dirac oscillator in perpendicular magnetic and transverse electric fields

Authors:	D Nath P Roy

Institution:	1. Department of Mathematics, Vivekananda College, Kolkata-700063, India;2. Physics & Applied Mathematics Unit, Indian Statistical Institute, Kolkata-700108, India

Abstract:	We study (2+1) $(2 + 1)$ dimensional massless Dirac oscillator in the presence of perpendicular magnetic and transverse electric fields. Exact solutions are obtained and it is shown that there exists a critical magnetic field B_c $B_{c}$ such that the spectrum is different in the two regions B>B_c $B > B_{c}$ and B<B_c $B < B_{c}$ . The situation is also analyzed for the case B=B_c $B = B_{c}$ .

Keywords:	Dirac oscillator Electric field
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