- To: mathgroup at smc.vnet.net
- Subject: [mg24541] Commuting Matrices
- From: Vishnu Jejjala <jejjala at ux8.cso.uiuc.edu>
- Date: Mon, 24 Jul 2000 03:04:20 -0400 (EDT)
- Organization: University of Illinois at Urbana-Champaign
- Sender: owner-wri-mathgroup at wolfram.com
I have a collection of matrices which satisfy a matrix algebra.
Call three of the matrices Phi1, Phi2, and Phi3. I want to take
expressions of the form (Phi1.Phi2.Phi3)^n and `normal order' them
using the commutation relations of the algebra so that the terms
in the expansion are of the form Phi1^a.Phi2^b.Phi3^c. Is there
a slick way to do this?
My brute force method of using replaces isn't working. One of
the problems I run into is that when I obtain an expression like
Phi3.(k Phi1.Phi3).Phi2.Phi3, I can't seem to teach Mathematica
to realize that the k is a scalar and factors through and that it
should apply the commutation rules to k Phi3.Phi1.Phi3.Phi2.Phi3.
Perhaps someone can offer suggestions. Thanks.
Prev by Date:
Re: Can Mathematica 4 do this?
Next by Date:
Previous by thread:
Next by thread:
Re: Commuting Matrices