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Consider the 1D Schrodinger's equation independent of time for the energies E at the interval [0,U]...

Consider the 1D Schrodinger's equation independent of time for the energies E at the interval [0,U] (U>0) of a particle of mass m at a finite potential wall V(x)=U, 0, U, respectively x<0, 0<x<L and x>L.

a) The energy espectrum E is continuous or discreet? Why?
b) Write the general form of the function waves at the 3 regions.
c) Write the equation whose solution gives the energy espectrum. It's not necessary to solve them.
d) What happen with the espectrum at the limit L -> 0?

Science   Advanced-Physics   
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