Re: Grassmann variables using NonCommutativeMultiply
- To: mathgroup at smc.vnet.net
- Subject: [mg59908] Re: Grassmann variables using NonCommutativeMultiply
- From: sbjensen at midway.uchicago.edu (Steuard Jensen)
- Date: Thu, 25 Aug 2005 06:33:44 -0400 (EDT)
- Organization: The University of Chicago
- References: <de45i8$qtf$1@smc.vnet.net> <debt13$9bu$1@smc.vnet.net> <deeoho$3q9$1@smc.vnet.net> <dehig5$btd$1@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
Quoth Paul Abbott <paul at physics.uwa.edu.au> in article <dehig5$btd$1 at smc.vnet.net>: > sbjensen at midway.uchicago.edu (Steuard Jensen) wrote: > > The context in which I'm using this stuff is a package that > > implements Grassmann variables using NonCommutativeMultiply. > I assume that you are aware of John Browne's Grassmann Algebra page? See > http://www.ses.swin.edu.au/homes/browne/ Yeah, I had looked at least briefly at his work when I first started trying to put this package together. From what I recall, his focus is rather different than what I needed: he seems to go into a lot of detail with the mathematical formalism, with an aim toward giving an alternative to vector manipulations (or something like that; as I said, it's been quite some time since I looked over his site). Whereas all _I_ need is a way to make fermion fields anti-commute in a Lagrangian. Not that I'm against mathematical detail, mind you! But his stuff certainly included a vast amount of overhead that I wouldn't need, and it wasn't obvious to me how to implement the simple behavior I wanted using his system. What I've got works quite well for my tasks, or at least, it did under Mathematica 5.0. I have high hopes for fixing it up under 5.2... eventually. :) Steuard Jensen