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Some simple solutions of Schrodinger's equation for a free particle or for an oscillator

Andrews, Mark

Description

For a non-relativistic free particle, we show that the evolution of some simple initial wave functions made up of linear segments can be expressed in terms of Fresnel integrals. Examples include the square wave function and the triangular wave function. The method is then extended to wave functions made from quadratic elements. The evolution of all these initial wave functions can also be found for the harmonic oscillator by a transformation of the free evolutions.

CollectionsANU Research Publications
Date published: 2018
Type: Journal article
URI: http://hdl.handle.net/1885/160527
Source: European Journal of Physics
DOI: 10.1088/1361-6404/aaaac8

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