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Semiclassical and Quantum Analysis of a Focussing Free Particle Hermite Wavefunction Paul Strange

Strange, Paul (2013) Semiclassical and Quantum Analysis of a Focussing Free Particle Hermite Wavefunction Paul Strange. arxiv.org, . pp. 1-10. (Unpublished) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided)

The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided. (Contact us about this Publication)
Official URL
http://arxiv.org/abs/1309.6753

Abstract

In this paper we discuss a solution of the free particle Schroodinger equation in which the time and space dependence are not separable. The wavefunction is written as a product of exponential terms, Hermite polynomials and a phase. The peaks in the wavefunction decelerate and then accelerate around t = 0. We analyse this behaviour within both a quantum and a semi-classical regime. We show that the acceleration does not represent true acceleration of the particle but can be related to the envelope function of the allowed classical paths. Comparison with other "accelerating" wavefunctions is also made. The analysis provides considerable insight into the meaning of the quantum wavefunction.

Item Type: Article
Uncontrolled keywords: Physics of Quantum Materials
Subjects: Q Science > QC Physics > QC174.12 Quantum theory
Divisions: Faculties > Sciences > School of Physical Sciences
Faculties > Sciences > School of Physical Sciences > Functional Materials Group
Depositing User: Paul Strange
Date Deposited: 27 Sep 2013 08:13 UTC
Last Modified: 17 Jul 2019 10:40 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/35327 (The current URI for this page, for reference purposes)
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