Wave function and Uncertinaty Principle?

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Discussion Overview

The discussion revolves around the relationship between the wave function and the uncertainty principle in quantum mechanics. Participants explore theoretical connections and mathematical underpinnings, particularly focusing on Fourier transforms.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant questions the relationship between the wave function and the uncertainty principle.
  • Another participant asserts that the position and momentum each have a wave function, which are Fourier transforms of each other, suggesting a connection to the uncertainty principle.
  • A subsequent participant asks for clarification on which specific theorem relates to this assertion about Fourier transforms.
  • A later reply references a theorem but does not provide further details, leaving the specific theorem unspecified.

Areas of Agreement / Disagreement

Participants express curiosity about the relationship and seek clarification, indicating that the discussion remains unresolved regarding the specific theorem and its implications.

Contextual Notes

The discussion lacks specific definitions and details about the theorem mentioned, which may affect understanding of the relationship between wave functions and the uncertainty principle.

alias25
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Whats the relationship between the wave function and the uncertinaty principle? if there's any
thanks
 
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alias25 said:
Whats the relationship between the wave function and the uncertinaty principle? if there's any
thanks


The position and mmentum each have a wave function, and it so turns out that these wave functions are the Fourier transforms of each other. And the uncertainty priniple then follows from a well known theorem in Fourier transforms.
 
selfAdjoint said:
And the uncertainty priniple then follows from a well known theorem in Fourier transforms.
Which theorem?
 
Mickey said:
Which theorem?


It's known as the http://cnx.org/content/m10416/latest/" .
 
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