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Physics, Quantum Mechanics
Year 3

Semi-Infinite Square Well Potential


I need to see how to do these types of problems. I know that on the left side psi of 0 would be 0 since this is an infinite well on this side. The problem makes it sound as if I should put E2 slightly slightly below the 0 line. The function inside the well would be sinosoidal and on the right side a decaying exponential. They would be equal at x=a and their derivatives would have to be equal as well. I think that's how I should approach it unless E2 is supposed to be slightly above the well. So if someone can do this problem step by step I would really appreciate it.

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By OTA:  Israel Kovner, PhD

OTA Rating:  5/5

Your Price:  $2.19  (original value ~$19.95)

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Semi-Infinite Square Well - Consider the semi-infinite square well given by V(x)=-Vo<0 for 0<=x<=a and V(x)=0 for x>a. There is an infinite barrier at x=0. A particle with mass m is in a bound state in this potential energy E<=0. a) solve the Schroedinger Eq to derive thi(x) for x=>0. Use the appropriate boundary conditions and normalized the wave function so that the final answer does not cont...

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