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Exact solutions of Dirac equation on a 2D gravitational background. (English) Zbl 1118.81410

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.

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
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[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
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