Wave Function Sketch for Particle at Rest with Given Potential and Energy

AI Thread Summary
The discussion revolves around sketching the wave function for a particle at rest given its potential and energy. Participants express uncertainty about the correct approach, questioning whether to integrate twice and how to handle the potential energy. There is mention of the time-invariant Schrödinger equation as a relevant framework for the problem. The conversation highlights the need to consider the nature of the potential, especially when treating it as a constant. Overall, the thread emphasizes the complexities involved in accurately sketching the wave function based on the provided parameters.
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Homework Statement



Given the potential, and energy of a particle at rest,

Sketch the wave function

Homework Equations



The time invariant schroedinger equation

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The Attempt at a Solution



I don't really know how to do this question

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Basically, I am given the potential, and energy of a particle. I need to sketch the wave function of the particle given these.

Do I just integrate twice then subtract something?
 
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Nice exercise. You done the square well potential already (or was it in the main text) ?
E is probably a constant. But what about V? If you use Vo, it looks as if you consider it constant. in some places that's OK, but not everywhere.
 
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