dorsal/arxiv
View SchemaHow to build a non-spreading wave packet in quantum mechanics
| Authors | S. Bruce |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9905078 |
| URL | https://arxiv.org/abs/quant-ph/9905078 |
Abstract
Quantum mechanics asserts that a wave packet must inevitably spread as time progresses since the dispersion relation for the quantum waves is assumed to be quadratic in the momentum k. However, this assumption does not consider the standard frequency Doppler shift formula of Galilean relativity. In this article a non-dispersive wave packet is constructed by appropriately considering the transformation rules between the laboratory and the (particle's) rest inertial reference frames.
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"abstract": "Quantum mechanics asserts that a wave packet must inevitably spread as time\nprogresses since the dispersion relation for the quantum waves is assumed to be\nquadratic in the momentum k. However, this assumption does not consider the\nstandard frequency Doppler shift formula of Galilean relativity. In this\narticle a non-dispersive wave packet is constructed by appropriately\nconsidering the transformation rules between the laboratory and the\n(particle\u0027s) rest inertial reference frames.",
"arxiv_id": "quant-ph/9905078",
"authors": [
"S. Bruce"
],
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"title": "How to build a non-spreading wave packet in quantum mechanics",
"url": "https://arxiv.org/abs/quant-ph/9905078"
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