Re: Numerical solution to Schrodinger's Equation

*To*: mathgroup at smc.vnet.net*Subject*: [mg14368] Re: Numerical solution to Schrodinger's Equation*From*: Paul Abbott <paul at physics.uwa.edu.au>*Date*: Thu, 15 Oct 1998 00:29:07 -0400*Sender*: owner-wri-mathgroup at wolfram.com

elvis dieguez wrote: > I am learning how to use Mathematica's built in numerical solver of > partial diff equations (NDSolve). I was trying to solve Schrodinger's > Equation for a particle in a 1-D infinite square well (y[0]==0, > y[1]==0). The analytic solution is: y[x] == A Sin[k x] where k = > n Pi. Using NDSolve, however, the only solution given is the trivial > A == 0. Is there anyway that I can get mathematica to quantize the > solution and avoid the trivial solution? A Notebook outlining two general approaches to this problem is available at ftp://ftp.physics.uwa.edu.au/pub/Mathematica/Schrodinger.nb Cheers, Paul ____________________________________________________________________ Paul Abbott Phone: +61-8-9380-2734 Department of Physics Fax: +61-8-9380-1014 The University of Western Australia Nedlands WA 6907 mailto:paul at physics.uwa.edu.au AUSTRALIA http://www.physics.uwa.edu.au/~paul God IS a weakly left-handed dice player ____________________________________________________________________