Math of Electron Double Slit Experiment

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Discussion Overview

The discussion focuses on the mathematical derivation of the wave patterns observed in the electron double slit experiment, exploring the relationship between wave-particle duality and quantum mechanics. Participants seek to understand the underlying principles and theories that explain the phenomenon.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant requests a derivation of the wave patterns in the double slit experiment, suggesting that wave-particle duality may be an obsolete concept.
  • Another participant references a previous thread discussing the status of wave-matter duality, indicating that it may contain relevant information.
  • A participant introduces the concept of diffraction in classical electrodynamics and its similarity to nonrelativistic quantum theory, mentioning the Helmholtz equation and Green's function in relation to the boundary conditions of the slits.
  • Alternative approaches, such as the path integral formulation, are suggested as intuitive methods for understanding the experiment, with a reference to a specific book by Feynman and Hibbs.
  • A later reply expresses gratitude for a link provided, indicating it was helpful for their inquiry.

Areas of Agreement / Disagreement

Participants express varying perspectives on the relevance of wave-particle duality and the methods for deriving the wave patterns, indicating that multiple competing views remain without a consensus.

Contextual Notes

Some assumptions about the familiarity with classical electrodynamics and quantum theory may not be explicitly stated, and the discussion does not resolve the implications of wave-particle duality.

Ghost Quartz
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I'm looking for a good derivation of the "wave" patterns in this experiment. I suppose that if wave-particle duality is an obsolete idea, there must be a derivation from quantum mechanics that gets close results.
Thanks in advance
 
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There was a thread recently called "Is wave-matter duality a proven theory" which involved a discussion about this, with some links.

That might be interesting.
 
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How familiar are you with the description of diffraction in classical electrodynamics/optics? In nonrelativistic QT it's almost the same theory, based on the Helmholtz equation and the corresponding Green's function given the boundary conditions due to the slits.

An alternative also pretty intuitive way is the use of the path integral. This is nicely worked out in the book by Feynman and Hibbs.
 
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the link posted by DrChinese is what I was looking for. Thank you, everyone!
 
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