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Propagator relative to the step potential

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Il Nuovo Cimento B (1971-1996)

Summary

The propagator associated to the Heaviside potentialV 0θ(x) is obtained under its compact form by summation on all the states of the particle. It is proved that the base of the states is complete indeed and that forV 0 → ∞, the propagator tends towards the well-known propagator of a particle subjected to move along a semi-axis.

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Authors and Affiliations

  1. Département de Physique Théorique, Institut de Physique, Université de Constantine, Constantine, Algeria

    L. Chetouani, L. Guechi & Y. Merabet

  2. Laboratoire de Mathématiques, Physique Mathématique et Informatique Faculté des Sciences et Techniques, Université de Haute Alsace, 4, rue des Frères Lumière, F-68093, Mulhouse, France

    T. F. Hammann

Authors
  1. L. Chetouani
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  2. L. Guechi
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  3. T. F. Hammann
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  4. Y. Merabet
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Chetouani, L., Guechi, L., Hammann, T.F. et al. Propagator relative to the step potential. Il Nuovo Cimento B 108, 879–892 (1993). https://doi.org/10.1007/BF02828735

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  • DOI: https://doi.org/10.1007/BF02828735

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