Plot a several energy eigenvalues of a partical

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Discussion Overview

The discussion revolves around computing and plotting energy eigenvalues for a particle in an infinitely deep, spherically symmetric square well. Participants explore methods for obtaining these eigenvalues, including mathematical tables and solutions to the Schrödinger equation.

Discussion Character

  • Exploratory, Technical explanation, Homework-related

Main Points Raised

  • One participant inquires about methods to compute or obtain energy eigenvalues, specifically for a particle in a spherically symmetric potential.
  • Another participant asserts that this topic is covered in all quantum mechanics textbooks, suggesting that resources are readily available.
  • A third participant provides a link to lecture notes that may contain relevant information for the computation.
  • The original poster expresses uncertainty about the attachment and seeks clarification on using the Schrödinger equation to find energy eigenvalues, particularly in relation to angular momentum states.
  • The original poster requests assistance in simplifying the process of finding these eigenvalues.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on the best method for computing the energy eigenvalues, and the discussion includes varying levels of clarity and understanding regarding the topic.

Contextual Notes

There is an indication of missing assumptions regarding the specific conditions of the potential well and the treatment of angular momentum states, which may affect the computation of eigenvalues.

eman2009
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Hi
How can i compute(or obtain from mathmatical tables) and plot a several energy eigenvalues of a particle in an infinity deep ,spherically and symmetric square well?
 
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That is done in all QM textbooks.
 


http://ocw.u-tokyo.ac.jp/wp-content/uploads/lecture-notes_eng/Engin_06/3-1E.PDF
 
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i should comput it due to the angular momentum states.
and I'm not very clear with the attachment .. i thought i can comput it from schrodenger equation and find E and blug the Q# in it for the lowest energy eigenvalues is it correct?
if you can make it easy to find ,i well appreciate...
thanks very much
 

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