The Schrodinger Equation for a Free Particle: The Solution Via the Fourier Transform

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We solve the Schrodinger Equation for a free particle using the Fourier Transform. We find the fundamental solution to the Schrodinger equation in the process. The fundamental equation is a complex version of the heat kernel.

#mikethemathematician, #mikedabkowski, #profdabkowski
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This looks like the heat equation as well- is the underlying information related at all? If so, how?

sethaaronson