Probabilities for Electron in a Box (n=1 & n=2)

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Homework Help Overview

The discussion revolves around calculating the probabilities of finding an electron in a one-dimensional box, specifically between the positions x=0 and x=L/4 for quantum states n=1 and n=2. The subject area is quantum mechanics, focusing on wave functions and probability densities.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the wave function for a particle in a box and the need to derive it. There are inquiries about the correct interpretation of the wave function and its application to find probabilities in specified intervals. Some participants question the validity of a provided image related to the wave functions.

Discussion Status

The discussion is active, with participants exploring the wave function and its implications for probability calculations. Some guidance has been offered regarding the integration of the probability density over the correct interval, indicating a productive direction in the conversation.

Contextual Notes

There is a mention of needing to integrate the probability density over a specific interval, which suggests that the problem may have constraints or specific requirements that are being examined.

Ming0407
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What are the probabilities of finding the electron anywhere between x=0 and x=L/4? (n=1 and n=2)


Can you give example to me?
 
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Do you know the wave function for a particle in a box, or can you try to derive them?
 
http://user.mc.net/~buckeroo/PODB9.gif true? n=1 or n=2 L=L/4? this is answer?
 
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That is the correct wave function. Can you use that to predict the probability in being in one section of the box? Remember that \left|\psi\left(x\right)\right|^2 is a probability density, so you have to integrate over some interval in x (The right interval is specified in your problem, can you spot it?).
 

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