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Square Potential Wells?
An electron is moving past a square well with energy [tex] E=3U_{0} [/tex]. What is the ratio of the de Broglie wavelength of the electron in the region x>L to the wavelength for 0<x<L?
none that I can think of
I know that for states of E greater than [tex] U_{0} [/tex] the particle is not bound but free to move through all values of x. The free particle wave functions are sinusoidal both inside and outside the well. I think the wavelength should be shorter inside the well than outside because of greater kinetic energy than outside. But how do i prove this?
Homework Statement
An electron is moving past a square well with energy [tex] E=3U_{0} [/tex]. What is the ratio of the de Broglie wavelength of the electron in the region x>L to the wavelength for 0<x<L?
Homework Equations
none that I can think of
The Attempt at a Solution
I know that for states of E greater than [tex] U_{0} [/tex] the particle is not bound but free to move through all values of x. The free particle wave functions are sinusoidal both inside and outside the well. I think the wavelength should be shorter inside the well than outside because of greater kinetic energy than outside. But how do i prove this?