Czasopismo
Tytuł artykułu
Autorzy
Warianty tytułu
Języki publikacji
Abstrakty
We show for the first time the role played by the hypergeneralized Heun equation (HHE) in the context of quantum field theory in curved space-times. More precisely, we find suitable transformations relating the separated radial and angular parts of a massive Dirac equation in the Kerr-Newman-deSitter metric to a HHE.
Czasopismo
Rocznik
Tom
Numer
Strony
490-497
Opis fizyczny
Daty
wydano
2010-06-01
online
2010-04-24
Twórcy
autor
- Departamento de Matematicas, Universidad de los Andes, AA 4976, Bogota, Colombia, dbatlo@unlandes.edu.co
autor
- Departamento de Matematicas, Universidad de los Andes, AA 4976, Bogota, Colombia
Bibliografia
- [1] K. Heun, Math. Ann. 33, 161 (1889) http://dx.doi.org/10.1007/BF01443849[Crossref]
- [2] A. Ronveaux, Heun’s Differential Equations (Oxford University Press, Oxford, 1995)
- [3] D. Batic, H. Schmid, J. Math. Phys. 48, 42502 (2007) http://dx.doi.org/10.1063/1.2720277[Crossref]
- [4] R. Schafke, D. Schmidt, SIAM J. Math. Anal. 11, 848 (1980) http://dx.doi.org/10.1137/0511076[Crossref]
- [5] D. Batic, H. Schmid, M. Winklmeier, J. Phys. A 39, 12559 (2006) http://dx.doi.org/10.1088/0305-4470/39/40/019[Crossref]
- [6] D. Schmidt, PhD Thesis, University of Köln (Köln, Germany, 1979)
- [7] U. Khanal, Phys. Rev. D 28, 1291 (1983) http://dx.doi.org/10.1103/PhysRevD.28.1291[Crossref]
- [8] R. Penrose, W. Rindler, Spinors and Space-Time, vol 1 (Cambridge University Press, Cambridge, 1986)
- [9] E. T. Newman, R. Penrose, J. Math. Phys. 7, 863 (1966) http://dx.doi.org/10.1063/1.1931221[Crossref]
- [10] J. N. Goldberg, A. J. Macfarlane, E. T. Newman, E. C. G. Sudarsan, J. Math. Phys. 8, 2155 (1967) http://dx.doi.org/10.1063/1.1705135[Crossref]
- [11] D. Batic, H. Schmid, M. Winklmeier, J. Math. Phys. 46, 012504 (2005) http://dx.doi.org/10.1063/1.1818720[Crossref]
- [12] N. Kamran, R. G. McLenaghan, J. Math. Phys. 25, 1019 (1984) http://dx.doi.org/10.1063/1.526269[Crossref]
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.-psjd-doi-10_2478_s11534-009-0107-8