Re: Query about spin and uncertainty

"Igor" <thoovler@xxxxxxxxxx> wrote in message
news:946f3358-f8e0-4e3f-b336-1276c4821920@xxxxxxxxxxxxxxxxxxxxxxxxxxxxx
.. . .

Usually, (1) is shown to be a consequence of (2). However, you should
be able to derive (2) from (1) by applying the definitions of the
angular momentum components in terms of the rectangular coordinates
x_i and linear momentum components p_j, together with the well-based
assumptions that [x_i,x_k] = 0 and [p_j,p_k] = 0. Using the rules for
commutators, you should be left with [x_j,p_k] = i hbar delta_j_k.


I have carried out a derivation along the lines that Igor lays out,
which is linked in the two-page pdf file below.

http://jayryablon.files.wordpress.com/2008/03/spin-to-uncertainty.pdf

Does this look about right?

Thanks,

Jay.


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