Collapse of the wave-function of a single photon in the general sense

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Discussion Overview

The discussion centers on the collapse of the wave-function of a single photon, exploring concepts of non-locality, detection, and the nature of wave-functions in quantum mechanics. Participants pose questions regarding the theoretical framework and implications of these concepts.

Discussion Character

  • Exploratory
  • Debate/contested
  • Technical explanation

Main Points Raised

  • One participant questions whether a single photon can be considered as a wave with a corresponding wave-function, indicating uncertainty about the applicability of wave-function concepts to photons.
  • Another participant asserts that photons cannot be described using a wave-function in the Schrödinger sense, suggesting that alternative mathematical tools are necessary for their description.
  • There is a discussion about the geometric interpretation of wave-functions, with a participant challenging the notion that wave-functions are necessarily geometrical.
  • Participants express interest in understanding the limitations of wave-functions for photons and inquire about which particles can be described using wave-functions, specifically mentioning electrons and other examples like free particles and harmonic oscillators.
  • Links to external resources are shared to provide further reading on the topic.

Areas of Agreement / Disagreement

Participants generally disagree on the applicability of wave-functions to photons, with some asserting that photons cannot be described this way, while others seek clarification and examples of particles that can be described using wave-functions.

Contextual Notes

The discussion highlights limitations in understanding the wave-function concept as it applies to different particles, particularly photons, and raises questions about the implications of non-locality and detection in quantum mechanics.

entropy1
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non-locality and the collapse of the wave-function of a single photon

I'm a bit of a layman on english and on physics, so here it is.

My questions are about the collapse of the wave-function of a single photon in the general sense. I will mention where I mean to pose a question.

If we may consider a single photon-particle as a wave with corresponding wave-function... (may we? question 1)

...and if we consider the physical manifestation of the likely position of this particle in time as determined by this function as, ideally, a 'growing' sphere in diameter.. (may we? question 2)

...then may we consider the 'detection' of the particle as a collapse of the corresponding wave-function... (may we? question 3)

...thus prohibiting 'detection' of this particle on every place on the, now collapsing, sphere? (question 4)

Is this prohibition a so called 'non-local' effect? (question 5)

Is it possible to so 'instantly' transfer information of the 'detection' all over the sphere? (question 6)

I assumed that the meaning of 'detection', 'non-local' and 'instantly' were clear.
Questions 5 and 6 are the ones I'm really interrested in.

Thanks very much in advance! You will probably laugh about this one.
I really know nothing about this, but it troubles me...can't sleep.
 
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entropy1 said:
If we may consider a single photon-particle as a wave with corresponding wave-function... (may we? question 1)

No, because photons can NOT be described using a wavefunction (in the Schroedinger sense). There are all sorts of technical ways to try to get around this (mainly introducing other mathematical tools), but the fact remains that photons can not be described using wavefunctions in the same way as for example electrons.

Also, the wavefunction of a particle is not (neccesarily) "geometrical" in the sense that you describe.
 


f95toli said:
No, because photons can NOT be described using a wavefunction (in the Schroedinger sense). There are all sorts of technical ways to try to get around this (mainly introducing other mathematical tools), but the fact remains that photons can not be described using wavefunctions in the same way as for example electrons.
Thanks! I didn't know that! Could you tell me a littlebit about why photons can't be described by a wavefunction? And where can I find out more about that fact?
 
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unusualname said:
A discussion of some of the problems:

http://arxiv.org/abs/quant-ph/0508202

Wow! Very nice resource, unusualname! Thanks! :smile:
(can probably spend some nice reading-hours with that)
 
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f95toli said:
No, because photons can NOT be described using a wavefunction (in the Schroedinger sense). There are all sorts of technical ways to try to get around this (mainly introducing other mathematical tools), but the fact remains that photons can not be described using wavefunctions in the same way as for example electrons.

Also, the wavefunction of a particle is not (neccesarily) "geometrical" in the sense that you describe.

May I ask then what particles can be described using the wave function .e.e for a free particle, particle in a box, in a box with bump bottom and the harmonic oscillator?

Are these based on the electron?

Thanks
 

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