Re: calculus with Grassmann variables
- To: mathgroup at smc.vnet.net
- Subject: [mg21188] Re: calculus with Grassmann variables
- From: Bojan Bistrovic <bojanb at physics.odu.edu>
- Date: Fri, 17 Dec 1999 01:23:52 -0500 (EST)
- Organization: Old Dominion Universityaruba
- References: <831j96$dha@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
Diego Bellisai wrote: > > Hi everybody, > I am looking for a Mathematica package or notebook which allows me > to deal with Grassmann (anticommuting) variables and to perform > calculations with both (standard) commuting and anticommuting variables. > In particular, I am interested in performing matrix calculus (products, > determinants and so on) with "anticommuting entries" matrices and with > commuting entries matrices. > Can somebody help me, please? > Cheers, Diego. > > * * * * * * * * * * * * * * * * * * * * * * * * * * * * > * Diego Bellisai * > * Physics Department * > * University of Padova * > * Via F. Marzolo, 8 - 35131 Padova (Italy) * > * * > * e-mail: bellisai at pd.infn.it * > * Tel.: ++39-049-8277183 Fax: ++39-049-8277102 * > * * * * * * * * * * * * * * * * * * * * * * * * * * * * Aaah... I know the frustartion you're probably going through :-). I'm not sure if you know about these sites, so I'll tell you anyway. There's a (package for high energy physics called FeynCalc; I'm not sure if it can do what you want. You can check for yourself on http://www.feyncalc.com. There used to be a few older packages free for download on http://mathsource.wolfram.com under Application/Physics. Last time I checked there was "tracer", "hip" and a few other ones. I'm not sure any of these can do operations on general Grassmann variables, but they can probably help. Last, but not least, you can do what I'm doing: write your own program. It's the slowest method but you'll at least know what's going on, and I can tell you, it's gona be a very educational experience. -- ------------------------------------------------------------- Bojan Bistrovic, bojanb at physics.odu.edu Old Dominion University, Physics Department, Norfolk, VA -------------------------------------------------------------