eigenfunctions
- To: mathgroup at smc.vnet.net
- Subject: [mg34335] eigenfunctions
- From: "marek" <mrk11 at interia.pl>
- Date: Wed, 15 May 2002 03:35:31 -0400 (EDT)
- Sender: owner-wri-mathgroup at wolfram.com
Does it exist in mathematica function for calculating it directly ? I know that it sure can be done in a few simplier steps, but directly for any operator in inf-dimensional Hilbert space ? e.g. for the operator A of form: Aw(x)=d^2w(x1,x1)/dx1^2+d^2w(x1,x1)/dx1^2, defined in rectangle with sides a,b with null border conditions Dirichlet type the eigenfunctions are expressed by the following formula : f(x1,x2)=Csin(pi*i*x1/a)*sin(pi*j*x2/b) If not, how to do it instead of ? --- mk