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- Thread starter Joy Prakash Das
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You have a degeneracy in the 1D SchrEq, because of the symmetry under reflections of momentum: ##x \rightarrow x##, ##p \rightarrow -p##.

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A very thorough discussion of the 1d Schrödinger equation can be found in Messiah's textbook (there's a cheap Dover edition in 1 volume).

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There is a one dimensional potential given by :-

V(x) = 0 for 0< x < x1 (Region i)

= V for x1 < x <x2 (Region ii)

= 0 for x2 < x < L (Region iii)

The potential is periodic, meaning V(x+L) = V(x).

Find the wavefunction of this potential everywhere in space.

I have done it by considering the propagation from left to right. What is I now consider it from right to left. In other words, the wave starts from region iii.

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