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3D Electron Gas Derivation

  • Thread starter phrygian
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  • #1
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Homework Statement



In a solid state book I am reading the 3 dimensional electron gas is derived. It says, "An unconfined electron in free space is described by the Schrodinger equation where m is the free-electron mass.

The solutions of the equation, phi(r)=1/(2pi)^3 Exp(ik.r) are plane waves labelled by the wavevector k=(kx,ky,kz)."

Homework Equations





The Attempt at a Solution



I know that Exp(ikx) is not normalizble from -infinity to infinity, so how can you determine the normalization constant?

Thanks for the help
 

Answers and Replies

  • #3
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But wouldn't that give 1/(2pi)^(3/2) since the x, y, and z waves each contribute 1/(2pi)^(1/2)?
 

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