Time Development of a Wave Packet and the Time Delay

Hiromichi Nakazato

doi:10.1007/BF02551447

Time Development of a Wave Packet and the Time Delay

Hiromichi Nakazato^*

^*Corresponding author for this work

School of Advanced Science and Engineering

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

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.

Original language	English
Pages (from-to)	1709-1723
Number of pages	15
Journal	Foundations of Physics
Volume	27
Issue number	12
DOIs	https://doi.org/10.1007/BF02551447
Publication status	Published - 1997 Dec

ASJC Scopus subject areas

Physics and Astronomy(all)

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title = "Time Development of a Wave Packet and the Time Delay",

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 Schr{\"o}dinger 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.",

author = "Hiromichi Nakazato",

note = "Funding Information: The author would like to thank Professors M. Namiki and I. Ohba and Doctors Y. Yamanaka and Saverio Pascazio for fruitful and helpful discussions. This work is partially supported by the Monbusho International Scientific Research Program: Joint Research (No. 08044097) and by Waseda University Grant for Special Research Projects No. 96A-126.",

year = "1997",

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N1 - Funding Information: The author would like to thank Professors M. Namiki and I. Ohba and Doctors Y. Yamanaka and Saverio Pascazio for fruitful and helpful discussions. This work is partially supported by the Monbusho International Scientific Research Program: Joint Research (No. 08044097) and by Waseda University Grant for Special Research Projects No. 96A-126.

PY - 1997/12

Y1 - 1997/12

N2 - 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.

AB - 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.

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JF - Foundations of Physics

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ER -

Time Development of a Wave Packet and the Time Delay

Abstract

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