Elsevier

Physics Reports

Volume 214, Issue 6, May 1992, Pages 339-356
Physics Reports

Recent developments in the time analysis of tunneling processes

https://doi.org/10.1016/0370-1573(92)90015-RGet rights and content

Abstract

In this paper we critically review and analyse the main theoretical definitions and calculations of the sub-barrier tunnelling and reflection times. Moreover, we propose a new, physically sensible definition of such durations, on the basis of a recent general formalism (already tested for other types of quantum collisions). Finally, we discuss some surprising results regarding the temporal evolution of the tunnelling processes.

References (39)

  • J. Schneider and H. Wolter, private communication (Munich,...
  • E.H. Hauge et al.

    Rev. Mod. Phys.

    (1989)
  • L. Eisenbud
  • D. Bohm

    Quantum Theory

    (1951)
  • E.P. Wigner

    Phys. Rev.

    (1955)
  • F. Capasso et al.

    IEEE J. Quantum. Electron

    (1986)
  • V.S. Olkhovsky

    Sov. J. Part. Nucl.

    (1984)

    Nukleonika

    (1990)

    The study of nuclear reactions by their temporal properties

  • V.S. Olkhovsky et al.

    Operator Theory

    Adv. Appl.

    (1990)
    A.O. Barut et al.

    Z. Phys. A

    (1987)
    A.O. Barut et al.

    Z. Phys. A

    (1988)
    A.O. Barut et al.

    Z. Phys. A

    (1990)

    Physica B

    (1988)
  • V.S. Olkhovsky et al.

    Nuovo Cimento

    (1974)
    E. Recami

    A time operator and the time-energy uncertainty relation

  • T.E. Hartmann

    J. Appl. Phys.

    (1962)
  • J.R. Fletcher

    J. Phys. C

    (1985)
  • F.T. Smith

    Phys. Rev.

    (1960)
  • M. Büttiker

    Phys. Rev. B

    (1983)
  • M.S. Goldberger et al.

    Collision theory

    (1964)
  • J.M. Jauch et al.

    Helv. Phys. Acta

    (1967)
  • Ph.A. Martin

    Acta Phys. Austriaca Suppl.

    (1981)
  • V.L. Lyuboshitz
  • A.I. Baz'

    Sov. J. Nucl. Phys.

    (1967)
    A.I. Baz'

    Sov. J. Nucl. Phys.

    (1967)
  • D. Sokolovski et al.

    Phys. Rev. A

    (1987)
  • Cited by (0)

    Work partially supported by INFN, MURST, CNR (Italy), by CNPq (Brazil), andby the I.N.R. (Ukrainian Academy of Sciences, Kiev, Ukraine).

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