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Time Development of a Wave Packet in Potential Scattering

In: Symmetries in Science X

Author

Listed:
  • Hiromichi Nakazato

    (Waseda University, Department of Physics)

Abstract

A one-dimensional scattering problem off a δ-shaped potential is solved analytically and the time development of a wave packet is derived from the time-dependent Schrödinger equation. The exact and explicit expression of the scattered wave packet supplies us with interesting information about the “time delay” by potential scattering in the asymptotic region. It is demonstrated that a wave packet scattered by a spin-flipping potential can give us quite a different value for the delay times from that obtained without spin-degrees of freedom.

Suggested Citation

  • Hiromichi Nakazato, 1998. "Time Development of a Wave Packet in Potential Scattering," Springer Books, in: Bruno Gruber & Michael Ramek (ed.), Symmetries in Science X, pages 305-314, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4899-1537-5_17
    DOI: 10.1007/978-1-4899-1537-5_17
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