Skip to main content
Log in

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

  • Research Article
  • Published:
Central European Journal of Physics

Abstract

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. K. Heun, Math. Ann. 33, 161 (1889)

    Article  MathSciNet  Google Scholar 

  2. A. Ronveaux, Heun’s Differential Equations (Oxford University Press, Oxford, 1995)

    MATH  Google Scholar 

  3. D. Batic, H. Schmid, J. Math. Phys. 48, 42502 (2007)

    Article  MathSciNet  Google Scholar 

  4. R. Schafke, D. Schmidt, SIAM J. Math. Anal. 11, 848 (1980)

    Article  MathSciNet  Google Scholar 

  5. D. Batic, H. Schmid, M. Winklmeier, J. Phys. A 39, 12559 (2006)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  6. D. Schmidt, PhD Thesis, University of Köln (Köln, Germany, 1979)

  7. U. Khanal, Phys. Rev. D 28, 1291 (1983)

    Article  MathSciNet  ADS  Google Scholar 

  8. R. Penrose, W. Rindler, Spinors and Space-Time, vol 1 (Cambridge University Press, Cambridge, 1986)

    Google Scholar 

  9. E. T. Newman, R. Penrose, J. Math. Phys. 7, 863 (1966)

    Article  MathSciNet  ADS  Google Scholar 

  10. J. N. Goldberg, A. J. Macfarlane, E. T. Newman, E. C. G. Sudarsan, J. Math. Phys. 8, 2155 (1967)

    Article  MATH  ADS  Google Scholar 

  11. D. Batic, H. Schmid, M. Winklmeier, J. Math. Phys. 46, 012504 (2005)

    Article  MathSciNet  ADS  Google Scholar 

  12. N. Kamran, R. G. McLenaghan, J. Math. Phys. 25, 1019 (1984)

    Article  MathSciNet  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Davide Batic.

About this article

Cite this article

Batic, D., Sandoval, M. The hypergeneralized Heun equation in quantum field theory in curved space-times. centr.eur.j.phys. 8, 490–497 (2010). https://doi.org/10.2478/s11534-009-0107-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.2478/s11534-009-0107-8

Keywords

Navigation