Moayedi, S. K.; Darabi, F. Exact solutions of Dirac equation on a 2D gravitational background. (English) Zbl 1118.81410 Phys. Lett., A 322, No. 3-4, 173-178 (2004). Summary: We obtain classes of two-dimensional static Lorentzian manifolds, which through the supersymmetric formalism of quantum mechanics admit the exact solvability of Dirac equation on these curved backgrounds. Specially in the case of a modified supersymmetric harmonic oscillator the wave function and energy spectrum of Dirac equation is given explicitly. Cited in 7 Documents MSC: 81T20 Quantum field theory on curved space or space-time backgrounds 83C47 Methods of quantum field theory in general relativity and gravitational theory 81T60 Supersymmetric field theories in quantum mechanics Keywords:2D gravity; Dirac equation; electrodynamics; supersymmetric quantum mechanics PDFBibTeX XMLCite \textit{S. K. Moayedi} and \textit{F. Darabi}, Phys. Lett., A 322, No. 3--4, 173--178 (2004; Zbl 1118.81410) Full Text: DOI arXiv References: [1] Donoghue, J. F.; Holstein, B. R., Am. J. Phys., 54, 827 (1986) [2] Boulware, D. G., Phys. Rev. D, 12, 350 (1975) [3] Page, D. N., Phys. Rev. D, 16, 2402 (1977) [4] Martellini, M., Phys. Rev. D, 16, 3418 (1977) [5] Mann, R. B.; Morsink, S.; Sikkema, A. E.; Steele, T. G., Phys. Rev. D, 43, 3948 (1991) [6] Moayedi, S. K.; Darabi, F., J. Math. Phys., 42, 1229 (2001) [7] Cooper, F.; Khare, A.; Musto, R.; Wipf, A., Ann. Phys., 187, 1 (1988) [8] Cooper, F.; Khare, A.; Sukhatme, U., Phys. Rep., 251, 267 (1995) [9] Weinberg, S., Gravitation and Cosmology (1972), Wiley: Wiley New York [10] Bertlmann, R. A., Anomalies in Quantum Field Theory (2000), Oxford Univ. Press: Oxford Univ. Press New York · Zbl 0990.81719 [11] Jackiw, R.; Rebbi, C., Phys. Rev. D, 13, 3358 (1976) [12] Junker, G., Supersymmetric Methods in Quantum and Statistical Physics (1996), Springer-Verlag: Springer-Verlag Berlin · Zbl 0867.00011 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.