The hypergeneralized Heun equation in quantum field theory in curved space-times

• Authors: Davide Batic , Manuel Sandoval
• Languages of publication: EN

Abstracts

EN

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.

Keywords

EN

quantum field theory in curved spacetimes; hypergeneralized Heun equation; Dirac equation; Kerr-Newman-deSitter metric

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2010
• Volume: 8
• Issue: 3
• Pages: 490-497

Dates

published

1 - 6 - 2010

online

24 - 4 - 2010

Contributors

author

Davide Batic

• Departamento de Matematicas, Universidad de los Andes, AA 4976, Bogota, Colombia

author

Manuel Sandoval

• Departamento de Matematicas, Universidad de los Andes, AA 4976, Bogota, Colombia

References

• [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]

Identifiers

DOI

10.2478/s11534-009-0107-8