Nath, D.; Roy, Pinaki Dirac oscillator in perpendicular magnetic and transverse electric fields. (English) Zbl 1360.81148 Ann. Phys. 351, 13-21 (2014). Summary: We study \((2+1)\) 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 \(B_c\) such that the spectrum is different in the two regions \(B>B_c\) and \(B<B_c\). The situation is also analyzed for the case \(B=B_c\). Cited in 6 Documents MSC: 81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics 35Q41 Time-dependent Schrödinger equations and Dirac equations 82B27 Critical phenomena in equilibrium statistical mechanics Keywords:Dirac oscillator; electric field PDFBibTeX XMLCite \textit{D. Nath} and \textit{P. Roy}, Ann. Phys. 351, 13--21 (2014; Zbl 1360.81148) Full Text: DOI References: [1] Villalba, V., Phys. Rev. A, 49, 586 (1994) [2] Dutta, D.; Panella, O.; Roy, P., Ann. Phys., 331, 120 (2013) [3] Longhi, S., Opt. Lett., 35, 1302 (2010) [4] Quimbay, C.; Strange, P. [5] Sadurní, E.; Torres, J. M.; Seligman, T. H., J. Phys. A, 43, 285204 (2010) · Zbl 1193.81025 [6] Franco-Villafañe, J. A.; Sadurní, E.; Barkhofen, S.; Kuhl, U.; Mortessagne, F.; Seligman, T. H., Phys. Rev. Lett., 111, 170405 (2013) [7] Mandal, B. P.; Verma, S., Phys. Lett. A, 374, 1021 (2010) [9] MacDonald, A. H., Phys. Rev. B, 28, 2235 (1983) [10] Lukose, V.; Shankar, R.; Baskaran, G., Phys. Rev. Lett., 98, 116802 (2007) [11] Peres, N. M.R.; Castro, E. V., J. Phys.: Condens. Matter., 19, 406231 (2007) [12] Barton, G., Ann. Phys., 166, 322 (1986) [13] Flügge, S., Practical Quantum Mechanics (1994), Springer-Verlag This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.