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Hamilton–Jacobi Method and Gravitation

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Cosmology, Quantum Vacuum and Zeta Functions

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 137))

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Abstract

Studying the behaviour of a quantum field in a classical, curved, spacetime is an extraordinary task which nobody is able to take on at present time. Independently by the fact that such problem is not likely to be solved soon, still we possess the instruments to perform exact predictions in special, highly symmetric, conditions. Aim of the present contribution is to show how it is possible to extract quantitative information about a variety of physical phenomena in very general situations by virtue of the so-called Hamilton–Jacobi method. In particular, we shall prove the agreement of such semi-classical method with exact results of quantum field theoretic calculations.

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Authors and Affiliations

  1. Dipartimento di Fisica, Università di Trento and INFN, Trento, Italy

    R. Di Criscienzo, L. Vanzo & S. Zerbini

Authors
  1. R. Di Criscienzo
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  2. L. Vanzo
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  3. S. Zerbini
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Corresponding author

Correspondence to R. Di Criscienzo .

Editor information

Editors and Affiliations

  1. , Facultat de Ciències, Institut de Ciències de l’Espai (IEEC-CS, Barcelona, 08193, Spain

    Sergey D. Odintsov

  2. , Facultat de Ciències, Institut de Ciències de l'Espai ICE-CSIC, Barcelona, 08193, Spain

    Diego Sáez-Gómez

  3. Universitat Politècnica de Catalunya, Jordi Girona 1-3, Barcelona, 08034, Spain

    Sebastian Xambó-Descamps

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© 2011 Springer-Verlag Berlin Heidelberg

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Criscienzo, R.D., Vanzo, L., Zerbini, S. (2011). Hamilton–Jacobi Method and Gravitation. In: Odintsov, S., Sáez-Gómez, D., Xambó-Descamps, S. (eds) Cosmology, Quantum Vacuum and Zeta Functions. Springer Proceedings in Physics, vol 137. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-19760-4_14

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  • DOI: https://doi.org/10.1007/978-3-642-19760-4_14

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-19759-8

  • Online ISBN: 978-3-642-19760-4

  • eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)

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