Why Is Task 2 in Quantum Mechanics Homework Difficult?

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Homework Help Overview

The discussion revolves around a challenging problem in quantum mechanics, specifically related to task 2 of a homework assignment. Participants are exploring concepts related to probability density and eigenfunctions within the context of quantum systems.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants are discussing the general equation for determining probability density and the significance of eigenfunctions in the context of the infinite square well. There is a request for more detailed thought processes to facilitate assistance.

Discussion Status

The discussion is ongoing, with participants sharing their attempts and suggestions for approaching the problem. Some guidance has been offered regarding the use of eigenfunctions and their relation to energy measurements, but no consensus has been reached.

Contextual Notes

There is an indication that the original poster has made some progress on a related task but is struggling specifically with task 2. The nature of the homework and the specific requirements for the tasks are not fully detailed, which may affect the discussion.

Yuli10
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Hi Yuli,
Have you made any attempts or do you have any ideas of how to solve task 2? What is the general equation for determining the probability density in quantum mechanics? Please give a bit more of your thought process so we can help you out!

Cheers,
Kamas
 
this is what i have tried to do, some ideas of mine.
 

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Try starting out by finding the eigenfunctions of the Hamiltonian for the infinite square well. Each of them should be associated with a definite energy. After that, write the wavefunction as a linear combination of the normalized eigenfunctions. The probability of measuring E_n for the particle is just |c_n|^2, where c_n is the coefficient in front of the eigenfunction.
 

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