In one dimension, compare the plane wave solutions to the heat equation ?T/?t = a? 2 T/?x

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In one dimension, compare the plane wave solutions to the heat equation ?T/?t = a?²T/?x² with plane wave solutions to the free Schr?dinger equation

Show that the heat equation has real solutions that oscillate in space and decay in time, whereas the Schr?dinger equation has complex solutions that oscillate in both space and time.

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The Physics of Energy

ISBN: 978-1107016651

1st edition

Authors: Robert L. Jaffe, Washington Taylor

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Question Posted: Jan 21, 2019 09:59 AM

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In one dimension, compare the plane wave solutions to the heat equation ?T/?t = a? 2 T/?x

Question:

iðy /ôt = -(ħ/2m)ớyldx²

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Look for plain wave solution of the form Tx t e ikx f t S...View the full answer

The Physics of Energy

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