Lettere al Nuovo Cimento (1971-1985)

, Volume 15, Issue 8, pp 257–262 | Cite as

On quantum resonances in stationary geometries

  • T. Damour
  • N. Deruelle
  • R. Ruffini


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  1. (1).
    See,e. g., Proceeding of the Marcel Grossman Meeting, edited byR. Ruffini (Amsterdam, 1976).Google Scholar
  2. (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.Google Scholar
  3. (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.ADSCrossRefGoogle Scholar
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    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.ADSCrossRefGoogle Scholar
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    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).MathSciNetzbMATHGoogle Scholar
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    G. Gamow:Zeits. Phys.,51 204 (1928). See alsoG. Gamow:Structure of Atomic Nuclei and Nuclear Transformations (Oxford, 1937).ADSCrossRefzbMATHGoogle Scholar
  8. (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→−∞).Google Scholar
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    D. Christodoulou andR. Ruffini:On the electrodynamics of collapsed objects, inBlack Holes, edited byB. de Witt andC. de Witt (London, 1973).Google Scholar
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    B. Carter: inBlack Holes, edited byB. de Witt andC. de Witt (London, 1973).Google Scholar
  11. (11).
    See,e.g.,G. Breit andF. L. Yost:Phys. Rev.,48, 203 (1935).ADSCrossRefGoogle Scholar

Copyright information

© Società Italiana di Fisica 1976

Authors and Affiliations

  • T. Damour
    • 1
    • 2
  • N. Deruelle
    • 3
  • R. Ruffini
    • 4
    • 2
  1. 1.Joseph Henry Physical LaboratoriesPrinceton
  2. 2.Physics DepartmentUniversity of Western AustraliaNedlands
  3. 3.Institute of Theoretical AstronomyCambridgeEngland
  4. 4.Institute for Advanced StudyPrinceton

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