Wave packet interpretation

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SUMMARY

The discussion centers on the interpretation of the double-slit experiment through the lens of wave packets, specifically referencing the papers by Besieris, Shaarawai, and Ziolkowski. These papers propose that electrons and photons can be viewed as nondispersive wave packets rather than traditional particles or plane waves. The key distinction made is that the wave function in this context is a classical entity that travels in physical space, negating the concept of wave function collapse found in quantum mechanics. However, the limitations of this interpretation are acknowledged, particularly when considering entanglement and other quantum phenomena.

PREREQUISITES
  • Understanding of wave-particle duality in quantum mechanics
  • Familiarity with the double-slit experiment and its implications
  • Knowledge of classical wave theory and wave packets
  • Basic concepts of quantum entanglement and its significance
NEXT STEPS
  • Read "Localized Waves" by Besieris, Shaarawai, and Ziolkowski for a deeper understanding of wave packet theory
  • Explore the implications of wave function collapse in quantum mechanics
  • Investigate the role of entanglement in quantum physics and its challenges to classical interpretations
  • Study the historical context and significance of the double-slit experiment in quantum mechanics
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Physicists, quantum mechanics students, and researchers interested in the foundational interpretations of quantum theory and the implications of wave packet models in explaining quantum phenomena.

selfsimilar
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In an old paper the authors claim that a wave packet of a sort can explain the double slit experiment.
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selfsimilar said:
A thought crossed my mind that a wave packet might explain the double slit experiment
Is there something unexplained about the double-slit experiment? If so, what?
 
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Nugatory said:
Is there something unexplained about the double-slit experiment? If so, what?
My understanding of the paper is that it tries to reproduce the results of the double slit experiment by assuming electron, photon, etc. as a nondispersive wave packet not a particle or a wave( plane wave).

"Finally, it should be emphasized that the wave function used here is a classical entity that travels in physical space, in sharp contrast with the quantum mechanical wave function that exists only in an abstract space. As a consequence, there is no collapse of the wave function, but instead we have the action of the central part of the field which can represent a light particle"
 
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selfsimilar said:
My understanding of the paper is that it tries to reproduce the results of the double slit experiment by assuming electron, photon, etc. as a nondispersive wave packet not a particle or a wave( plane wave).

"Finally, it should be emphasized that the wave function used here is a classical entity that travels in physical space, in sharp contrast with the quantum mechanical wave function that exists only in an abstract space. As a consequence, there is no collapse of the wave function, but instead we have the action of the central part of the field which can represent a light particle"
I see no problem with this assumption as so far as we restrict all microscopic physics to the double slit experiment. It can be proven that this feature of quantum mechanics can be simulated by some hidden classical dynamics. However that's so far as it can go. As soon as you have two particles (entanglement) no classical underlying theory is to be found.

Note that the double slit was so shocking at the beginning because (1) it was totally unexpected that electrons and other matter particles behaved wavy (2) an interference patterns appear even if you send one particle at the time (not that the electron cannot be split into two and that even if it is a wave you have to tell me what is the wave made of). Also how does that explain other features of quantum mechanics? Quantized energy levels? Hydrogen atom?
 
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pines-demon said:
I see no problem with this assumption as so far as we restrict all microscopic physics to the double slit experiment. It can be proven that this feature of quantum mechanics can be simulated by some hidden classical dynamics. However that's so far as it can go. As soon as you have two particles or entanglement no classical underlying theory is to be found.

Note that the double slit was so shocking at the beginning because (1) it was totally unexpected that electrons and other matter particles behaved wavy (2) an interference patterns appear even if you send one particle at the time (not that the electron cannot be split into two and that even if it is a wave you have to tell me what is the wave made of).
Thanks for the reply. Yes, soon after posting and thinking about it I thought the same i.e. what about the rest. So I thought that later citations might have picked up on it and developed it further. Although they have many citations but they are allover the place with optics being a major subject.

But your question about what are they made of, I would suspect they will tell you to be something like EM not made of "anything" , just a mathematical entity(field) with some parameter characterizing them. But I really don't know what they will say about entanglement (maybe long tail??)
 
selfsimilar said:
But your question about what are they made of, I would suspect they will tell you to be something like EM not made of "anything" , just a mathematical entity(field) with some parameter characterizing them. But I really don't know what they will say about entanglement (maybe long tail??)
The rhetorical question is to make you say "electron field, duh" (which is exactly what any modern theory would actually requires).
 
pines-demon said:
The rhetorical question is to make you say "electron field, duh" (which is exactly what any modern theory would actually requires).
Yes of course. Although they have the model for Dirac and Klein-Gordon , but no interaction picture in sight. Since it is very old paper and their last published is 2004, they are either dead or have faded away like a good soldier:smile:
 
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