Re: Defining operators containing derivatives
- To: mathgroup at smc.vnet.net
- Subject: [mg67892] Re: Defining operators containing derivatives
- From: "Jens-Peer Kuska" <kuska at informatik.uni-leipzig.de>
- Date: Wed, 12 Jul 2006 05:05:18 -0400 (EDT)
- Organization: Uni Leipzig
- References: <e8vtu8$su5$1@smc.vnet.net>
- Sender: owner-wri-mathgroup at wolfram.com
Hi, A[x_, theta_][f_] := D[f, x] + Sinh[2*x]*D[f, theta] B[x_, theta_][f_] := -Sinh[x + I*theta]*D[f, x] + Cosh[2*x]*D[f, theta] + Tanh[5*x]*f and B[x, theta]@ A[x, theta]@ f[x, theta] - A[x, theta]@ B[x, theta]@ f[x, theta] Regards Jens "cosmicstring" <cosmicstring at gmail.com> schrieb im Newsbeitrag news:e8vtu8$su5$1 at smc.vnet.net... |I have been using Mathematica as a simple calculator but now I need | something different which Mathematica is capable of but out of my | knowledge. | | I have, say, two operators: | | A:=D[f[x,theta],x]+Sinh[2*x]*D[f[x,theta],theta] | B:=-Sinh[x+I*theta*]*D[f[x,theta],x]+Cosh[2*x]*D[f[x,theta],theta]+Tanh[5*x]*f[x,theta] | | I want to define A and B as operators and apply them to any f[x,theta] | as, | | AB f[x,theta]+BA g[x,theta] | | Any help would be appreciated. |