Skip to main content
Log in

Relations among solutions for wave and Klein-Gordon equations for different dimensions

  • Published:
Il Nuovo Cimento B (1971-1996)

Summary

Relations between solutions of homogeneous wave equations for different dimensions are discussed. Idem for Green’s functions. A similar discussion is given for the Klein-Gordon equations. Relations with solutions for powers of D’Alembertian and Kleinian are also discussed. Their importance for the understanding of the relations between analytic and dimensional regularization is briefly mentioned.

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. I. M. Guelfan andG. E. Chilov:Les distributions (Dunod, Paris, 1962).

    Google Scholar 

  2. R. Feynman: private communication (1967).

  3. Ruben Gurgel Pinto de Amaral:Scattering in dimension d, PhD Thesis, Centro Brasileiro de Pesquisas Físicas, Rio de Janeiro, Brasil.

  4. C. G. Bollini andJ. J. Giambiagi:J. Math. Phys.,15, 125 (1974).

    Article  MathSciNet  ADS  Google Scholar 

  5. I. S. Gradshteyn andI. M. Ryzhik:Table of Integrals, Series and Products (Academic Press, New York and London, 1965);Bateman Project:Table of Integral Transforms 2 (McGraw-Hill, 1954).

    Google Scholar 

  6. C. G. Bollini andJ. J. Giambiagi:J. Math. Phys.,34, 610 (1993); see alsoC. G. Bollini, J.J. Giambiagi andO. Obregon:Mod. Phys. Lett. A,7, 593 (1992).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  7. R. Schimming:A review of Huygen’s principle for linear hyperbolic differential equations, inGroup Theoretical Methods in Mechanics (Novosibirsk, USSR, 1974).

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to J. J. Giambiagi.

Additional information

The author of this paper has agreed to not receive the proofs for correction.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Giambiagi, J.J. Relations among solutions for wave and Klein-Gordon equations for different dimensions. Il Nuovo Cimento B 109, 635–644 (1994). https://doi.org/10.1007/BF02728446

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02728446

Keywords

Navigation