Shrodinger equation/Particle in a box

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The discussion centers around the Schrödinger equation and the specific case of a particle in a box, focusing on the potential energy function U(x) within the interval 0 < x < L. Participants analyze the relationship between U(x) and the wave function psi(x), noting that U(x) multiplied by psi(x) equals zero. A user attempts to derive U(x) by manipulating the second derivative of psi but arrives at an incorrect result. The importance of clearly defining U(x) and using LaTeX for clarity in mathematical expressions is emphasized to facilitate better understanding and assistance. Clear communication of the problem is crucial for effective discussion in quantum mechanics topics.
Linus Pauling
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1. What is U(x)psin(x) in the interval 0 < x < L? (less than or equal to)



2. In previous problems I had found the following:

Second deriv. of psi(x) = -(n*pi/L)2*C*sin(n*pi*x/L)

U(x)*psin(x) = 0





3. From the above and the Shrodinger equation, I added U(x) = 0 to the second derivative of psi given above multiplied by -h-bar/2m, obtaining the incorrect answer of:

(h-bar*n*pi)2/2mL2 * C * sin(n*pi*x/L)
 
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I don't think you will receive much help if you don't clearly explain your problem. For example, what is U(x)? Also, you might want to use latex or people will be put off trying to decipher what you wrote.
 
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