Commonly quoted PF article required.

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Discussion Overview

The discussion revolves around locating a specific article related to quantum mechanics, particularly focusing on the momentum analysis of a free wave in the context of the double-slit experiment. Participants express a desire to retrieve this article, which is noted for its accessibility to non-professionals.

Discussion Character

  • Exploratory
  • Debate/contested
  • Technical explanation

Main Points Raised

  • One participant mentions losing their collection of articles and seeks help in finding a specific quantum mechanics article frequently quoted by others.
  • Another participant provides a link to a set of notes that may contain the sought-after article.
  • A different participant suggests that the article might be a single PDF from arXiv, which discusses how quantum mechanics produces the double-slit pattern using momentum eigenfunctions.
  • One participant shares a link to a paper that, while related to the topic, is confirmed not to be the specific article being sought.
  • There is a suggestion that the article might be authored by someone named Marcella, which is later confirmed by another participant.
  • One participant critiques the article for not adequately explaining the handling of momentum and position eigenfunctions, particularly in the context of scattering theory, and recommends alternative readings from A. Sommerfeld and Feynman & Hibbs.
  • Another participant expresses a preference for free resources, indicating a challenge with the cost of academic books.

Areas of Agreement / Disagreement

Participants generally agree on the topic of the article being sought, but there are differing opinions regarding the adequacy of the article's explanations and the recommended resources for understanding the concepts involved.

Contextual Notes

There are unresolved assumptions regarding the specific content of the article and the definitions of terms like "eigenfunctions" as used in quantum mechanics. The discussion also reflects varying levels of familiarity with the literature and the availability of resources.

Who May Find This Useful

This discussion may be useful for individuals interested in quantum mechanics, particularly those looking for accessible resources or seeking clarification on concepts related to the double-slit experiment and eigenfunctions.

houlahound
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I lost all my download articles.

One article that has been attached a lot is a QM momentum analysis of a free wave on two slits.

It is a great highly readable article for non professionals.

I am thinking Bill or Peter Donis quote it a lot.

Please, please help me get this article back.

I can't remember author.

Free steak knife for first to link it.
 
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It could be in there somewhere, the article was a single PDF from arix.

Showed how QM produced the double slit pattern with momentum eigenfunctions.

Raised to two steak knives.
 
Last edited by a moderator:
That is def the topic and looks like a great paper but not the specific one, I will keep it tho.

Thanks.
 
dextercioby said:
Is it the one by Marcella?

By golly that's it,

Thank you.

And now eerr about those steak knives...how can I say this.
 
Argh, and you were so lucky to loose it! :wink:
 
vanhees71 said:
Argh, and you were so lucky to loose it! :wink:

Why, you don't like the paper??

I think it is a good step between undergraduate level and the main literature.
 
  • #10
Well, they don't explain the handling of momentum- and position "eigenfunctions", and particularly in scattering theory (and the double-slit experiment is mathematically a scattering problem) that's the key issue to understand. Momentum and position "eigenfunctions" do NOT represent quantum states of a particle!

I rather recommend to first read the treatment in

A. Sommerfeld, Lectures on Theoretical Physics Vol. 4 (Optics)

There it's treated correctly. The very same mathematics applies to Schrödinger's equation.

Alternatively you can also have a look at the path-integral treatment in Feynman&Hibbs. That's a case, where the path-integral method is really elegant.
 
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  • #11
Do you have any links please.
 
  • #12
The links are the books I mentioned!
 
  • #13
Cheers, I was chasing free stuff, I did read a few excerpts. Books are so expensive not many by them without reading them on line first IMO.
 
  • #14
houlahound said:
I was chasing free stuff
As in steak knife?
 
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