Elsevier

Nuclear Physics A

Volume 308, Issues 1–2, 25 September–2 October 1978, Pages 189-209
Nuclear Physics A

A wave propagation matrix method in semiclassical theory

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Abstract

A wave propagation matrix method is used to derive the semiclassical formulae of the multi-turning-point problem. A phase shift matrix and a barrier transformation matrix are introduced to describe the process of a particle travelling through a potential well and crossing a potential barrier respectively. The wave propagation matrix is given by the products of phase shift matrices and barrier transformation matrices. We then apply the method to study scattering by surface transparent potentials and the Bloch wave in solids.

References (14)

  • K.W. Ford et al.

    Ann. of Phys.

    (1959)
    K.W. Ford et al.

    Ann. of Phys.

    (1959)
    W.H. Miller

    J. Chem. Phys.

    (1968)
    W.H. Miller

    Adv. Chem. Phys.

    (1974)
    W.H. Miller

    Adv. Chem. Phys.

    (1975)
    M.V. Berry et al.

    Rep. Prog. Phys.

    (1972)
    N.L. Conner

    Molecular Phys.

    (1968)
    N.L. Conner

    Molecular Phys.

    (1972)
    N.L. Conner

    Molecular Phys.

    (1976)
  • S.Y. Lee et al.

    Nucl. Phys.

    (1978)
  • J. Knoll et al.

    Ann. of Phys.

    (1976)
  • D. ter Haar

    Selected problems in quantum mechanics

    (1964)
  • A. Gobbi et al.

    Phys. Rev.

    (1973)
  • N.L. Connor

    Molecular Phys.

    (1973)
  • D.M. Brink et al.

    Nucl. Phys.

    (1977)
There are more references available in the full text version of this article.

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†††

Labotoire associe au CNRS.

Present address: Dept. of Phys., Univ. of Washington, Seattle, WA 98195, USA.

††

Present address: Westfalische Welhelms Univ. Inst. fur Theoretische Physik, D-4400 Munster, west Germany.

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