Sommerfeld uncertainty principle

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arivero
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Main Question or Discussion Point

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?
 

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  • #2
arivero
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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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