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

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

iy /t = -(/2m)yldx

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.

iy /t = -(/2m)yldx

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