How close can we get waves to wave functions, including potential?

Faletic, Sergej (2015) How close can we get waves to wave functions, including potential? Il nuovo cimento C, 38 (3). pp. 1-10. ISSN 1826-9885

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Abstract

In the following article we show that mechanical waves on a braced string can have the same shapes as important wave functions in introductory quantum mechanics. A braced string is a string with additional transversal springs that serve as external “potential”. The aim is not to suggest teaching quantum mechanics with these analogies. Instead, the aim is to provide students with some additional relevant experience in wave mechanics before they are introduced to quantum mechanics. We show how this experience can be used in a constructivist sense as the basis for building quantum concepts. We consider energy transfer along such string and show that penetration of a wave into a region with high “potential” is not unexpected. We also consider energy transfer between two such strings and show that it can appear point-like even though the wave is an extended object. We also suggest that applying quantization of energy transfer to wave phenomena can explain some of the more difficult to accept features of quantum mechanics.

Item Type: Article
Subjects: 500 Scienze naturali e Matematica > 530 Fisica
Depositing User: Marina Spanti
Date Deposited: 28 May 2020 16:07
Last Modified: 28 May 2020 16:07
URI: http://eprints.bice.rm.cnr.it/id/eprint/19093

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