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Sommerfeld uncertainty principle

  1. Oct 19, 2013 #1

    arivero

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    Gold Member

    Ok, I knew that Heisenberg had studied under Arnold Sommerfeld, but I have just now learnt that Sommerfeld proposed a sort of uncertainty principle in the first Solvay meeting.

    That was 1911.

    It seems that he proposed that the time needed to transfer a quantity of energy was inversely proportional to this quantity, and perhaps that the space needed to transfer some momentum was inversely proportional to this momentum. IE:

    [tex]
    \Delta t = { h \over \Delta E}
    [/tex]

    and perhaps

    [tex]
    \Delta x = { h \over \Delta p}
    [/tex]

    I wonder if there was some extension of this idea before coming to Heisenberg himself (and his principle). After all, from 1911 to 1927 there is some time lag. Also, I wonder how compatible is this idea with the later developed Quantum Mechanics.

    Is there some book naming explicitly this formulation?
     
  2. jcsd
  3. Oct 19, 2013 #2

    arivero

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    Gold Member

    Let me add, suppose that for instance some Banking System imposes a "corralito" following the above rule, that the transfer of a quantity $ of money must be delayed always by a time proportional to 1/log($) the inverse of the number of ceros of the quantity to be transferred. Would we get then a "quantum economy"? It seems strange because there is not probability nor measure problem here.
     
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