Skip to main content
Log in

On quantum resonances in stationary geometries

  • Published:
Lettere al Nuovo Cimento (1971-1985)

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.

References

  1. See,e. g., Proceeding of the Marcel Grossman Meeting, edited byR. Ruffini (Amsterdam, 1976).

  2. See,e. g.,J. A. Wheeler:Transcending the law of conservation of leptons, inQuaderno No. 157, Accademia Nazionale dei Lincei (Roma, 1971), p. 133.

  3. N. Deruelle andR. Ruffini:Phys. Lett.,52 B, 437 (1974); in this paper the positive- and negative-root solutions introduced byD. Christodoulou andR. Ruffini:Phys. Rev. D,4, 3552 (1971), are identified with the classical limits of the positive- and negative-energy states of a relativistic quantized field. Sce alsoT. Damour:Lett. Nuovo Cimento,12, 315 (1975), where this correspondence is made manifest by a suitable choice of the co-ordinates.

    Article  ADS  Google Scholar 

  4. See,e. g.,T. Damour andR. Ruffini:Phys. Rev. Lett.,35, 463 (1975);N. Deruelle andR. Ruffini:Phys. Lett.,58 B, (1975) and references mentioned there.

    Article  ADS  Google Scholar 

  5. See,e.g.,B. Carter:Comm. Math. Phys.,10, 280 (1968);D. Brill, P. M. Chrzanowski, C. M. Pereira, E. D. Fackerell andJ. R. Ipser:Phys. Rev. D,5, 1913 (1972).

    MathSciNet  MATH  Google Scholar 

  6. J. Meixner andF. W. Schärfke:Mathieusche Funktionen und Sphäroidfunktionen (Berlin, 1954).

  7. G. Gamow:Zeits. Phys.,51 204 (1928). See alsoG. Gamow:Structure of Atomic Nuclei and Nuclear Transformations (Oxford, 1937).

    Article  ADS  MATH  Google Scholar 

  8. There is one important difference between the study of the resonances of a nucleus and the resonances of a quantized field around a collapsed object: the leakage in the case of a nucleus occurs always toward spatial infinity (r→∞) while in the case of a collapsed object occurs toward the horizon (rr + orx→−∞).

  9. D. Christodoulou andR. Ruffini:On the electrodynamics of collapsed objects, inBlack Holes, edited byB. de Witt andC. de Witt (London, 1973).

  10. B. Carter: inBlack Holes, edited byB. de Witt andC. de Witt (London, 1973).

  11. See,e.g.,G. Breit andF. L. Yost:Phys. Rev.,48, 203 (1935).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Damour, T., Deruelle, N. & Ruffini, R. On quantum resonances in stationary geometries. Lett. Nuovo Cimento 15, 257–262 (1976). https://doi.org/10.1007/BF02725534

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02725534

Navigation