Infinite-square-well potential Problem

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Homework Help Overview

The discussion revolves around the concept of the infinite-square-well potential in quantum mechanics, specifically focusing on the uncertainty relation involving position and momentum in the context of eigenstates of the Hamiltonian.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants express confusion regarding the clarity of the problem statement, particularly about calculating the product of uncertainties, \Delta x_{n} \Delta P_{n}. There are inquiries about the specific aspects of the problem that are unclear and how the uncertainty in position typically arises.

Discussion Status

The discussion is ongoing, with participants seeking clarification and expressing their uncertainties. There is a focus on understanding the problem formulation rather than progressing towards a solution.

Contextual Notes

Participants note that the problem statement lacks clarity, which is hindering their ability to engage with the question effectively.

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Homework Statement



\Delta x_{n}\ Delta P_{n} in the situation of an infinite-square-well potential in the eigenstate |\psi_{n}> of the hamiltonian.

Homework Equations



psi(x)=Sqr(2/a) sin( n*Pi x / a) , for n = 1,2,3

The Attempt at a Solution



I need a hint to let me start solving the problem. the problem statement is not clear for me.

Thanks

R
 
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What part of the problem formulation is unclear to you? You need to share your thoughts on the problem if you want us to be able to help you properly.
 
The entire statement is not clear. They are asking to calculate \Delta x_{n}\ Delta P_{n} , This is not clear for me
 
What don't you get?
 
How does ##\Delta x## come about usually ?
 

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