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The uncertainity principle

  1. Jul 7, 2014 #1
    When it actually 'equal to' in uncertainty principle?
    For example under what conditions:
    ΔxΔt = h/4[itex]pi[/itex]
     
  2. jcsd
  3. Jul 7, 2014 #2

    atyy

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    The Gaussian is an example of a wave function in which the equality is satisfied.

    A more general class are called "coherent states".
    http://www.indiana.edu/~ssiweb/C561/PDFfiles/Uncertainty2008.pdf
    http://www.fysik.su.se/~hansson/KFT2/extra notes/cstates copy.pdf

    From the first of the above two links:
    "In summary, we have seen that the coherent states are minimal uncertainty wavepackets which remains minimal under time evolution. Furthermore, the time dependant expectation values of x and p saties the classical equations of motion. From this point of view, the coherent states are very natural for studying the classical limit of quantum mechanics."
     
    Last edited: Jul 7, 2014
  4. Jul 7, 2014 #3

    marcusl

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    Your statement of the uncertainty principle should read ΔxΔp.
     
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