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Saturday, May 23, 2015

Exploring Quantum Physics - Final Exam Part 1 Question 5

Question:

Given a potential with a single discontinuity at $ x = 0 $, what is the right choice for the wave function?

Solution:

The basic principle is that the wave function must agree value at the boundary. The only choice that allow this is $ A\sin(kx)\theta(x) $. 

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