The wave nature of the wave function.

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Discussion Overview

The discussion revolves around the wave nature of the wave function, particularly in the context of interactions between particles, such as electrons and protons. Participants explore whether the wave function experiences effects similar to physical waves when another particle passes through it, examining implications for scattering and wave packet behavior.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant questions whether the wave function of an electron experiences "wave effects" akin to a physical object moving through a fluid, suggesting a comparison to wood in water.
  • Another participant asserts that interactions will produce a scattering term, which can be analyzed using various approximations, such as the Born approximation or partial wave series.
  • A third participant clarifies that after separation, wave packets of particles will take on forms based on their energy-momentum, and that overlapping wave packets of identical particles merge into a single wavefunction, challenging the notion that wavefunctions behave like substances with ripples.

Areas of Agreement / Disagreement

Participants express differing views on the nature of wavefunctions and their behavior during interactions, indicating that multiple competing perspectives remain without a clear consensus.

Contextual Notes

The discussion includes assumptions about the nature of wavefunctions and the conditions under which interactions occur, but these assumptions are not fully explored or resolved.

espen180
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The "wave nature" of the wave function.

Let's say an electron has a certain wave function in two dimentions, and a proton or electron travels through it (the wavefunction).

Will the wavefunction of the electron experience "wave effects" like if one drove a piece of wood through a body of water? (though a liquid of high viscosity might be a better example then wood) or does it intantly return to its state before the appearance of the proton/electron?
 
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espen180 said:
Let's say an electron has a certain wave function in two dimentions, and a proton or electron travels through it (the wavefunction).

Will the wavefunction of the electron experience "wave effects" like if one drove a piece of wood through a body of water? (though a liquid of high viscosity might be a better example then wood) or does it intantly return to its state before the appearance of the proton/electron?

Yes, the interaction wll give rise to a scattering term that can be treated in various approximations (e.g. Born approximation or partial wave series).
 


After they are separated, wave packets of two particles will just have a form according to the energy-momentum they have due to the interaction. When wavepackets overlap, those of identical particles become a single wavefunction in which one particle can't be distinguished from another. But wavefunctions are not like a substance that have ripples because something passed through it.
 


I understand. Thanks for your help. :)
 

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