Quantum reflection time and the Goos-Hänchen effect

We explore the analogy between following the motion of a reflected wave packet, and a quantum measurement of the spatial delay imposed on the particle by the scattering potential. It is shown that converting such delays into temporal durations can lead to "negative times", and best be avoided. It is also demonstrated that a "soft" potential can be replaced by superposition of hard walls. This representation is used for calculating the Goos-Hänchen shift of a Gaussian beam incident on a potential step or a barrier at an oblique angle.

Publication Details

Journal
ArXiv.org
Published
2025-08-25
Primary Topic
Geochemistry and Geologic Mapping
Type
article
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article

Quantum reflection time and the Goos-Hänchen effect

ArXiv.org
Geochemistry and Geologic Mapping
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Quantum reflection time and the Goos-Hänchen effect

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Abstract

We explore the analogy between following the motion of a reflected wave packet, and a quantum measurement of the spatial delay imposed on the particle by the scattering potential. It is shown that converting such delays into temporal durations can lead to "negative times", and best be avoided. It is also demonstrated that a "soft" potential can be replaced by superposition of hard walls. This representation is used for calculating the Goos-Hänchen shift of a Gaussian beam incident on a potential step or a barrier at an oblique angle.

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Quantum reflection time and the Goos-Hänchen effect · ArXiv.org (2025) | TGRS Research Map | TGRS