Re: Decomposition of Intrinsic Spin Operator into Position and Momentum and Orbital Angular Momentum Operators

On Apr 18, 1:41 am, "Jay R. Yablon" <jyab...@xxxxxxxxxxxx> wrote:
I think I finally got it right, in my ongoing effort to write the
intrinsic spin operator in terms of position and momentum and orbital
angular momentum operators, please see below:

http://jayryablon.files.wordpress.com/2008/04/intrinsic-spin-decompos...

This is why I asked earlier about the cross products.  It turns out that
because of the canonical commutation relationship for position and
momentum, an extra term i hbar enters the triple cross (X) product:

(x X p) X sigma

where x is the position operator with origin at center of mass, p is the
momentum operator, and sigma are the Pauli spin matrices.  This extra
term is then the source of the subject decomposition.

The calculation is simple, mathematically-based, and right to the point.

Has anyone seen this before?

Thanks,

Jay.
____________________________
Jay R. Yablon
Email: jyab...@xxxxxxxxxxxx
co-moderator: sci.physics.foundations
Weblog:http://jayryablon.wordpress.com/
Web Site:http://home.nycap.rr.com/jry/FermionMass.htm

You do realize that the double cross product of three polar vectors is
still a polar vector, don't you? Unlike angular momentum, which is
axial.



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