Canonical Commutators, Rest Mass Commutation, and Dirac's Equation

[Jay R. Yablon]

I have made several posts of late to try to get a handle on what happens
when one seeks to commute a scalar rest mass m with the canonical
position vector x_u. On sci.physics.relativity, kp provided a very
helpful link at
http://www.physicsforums.com/archive/index.php/t-142092.html which
showed how this is done for the square mass m^2, in effect, based on the
Klein-Gordon equation for a scalar particle.

In section 1 of a file linked at: (if left click does not work, right
click to dowload, then open)

http://jayryablon.files.wordpress.com/2008/06/cannonical-commutators.pdf

I have laid out the scalar calculation shown in the above link, as a
"warm-up" exercise. Then, in section 2, I have taken the next step to
show how this same calculation plays out when one uses Dirac's equation
and the linear (not square) mass m. I am curious if the section 2
calculation has been done anywhere before, and if my (2.6) or variants
thereof is a known equation.

These two exercises lay to rest in my mind, the earlier questions I had
about commuting the scalar rest mass m with the canonical x_u.

Comments appreciated.

Thanks,

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