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MathGroup Archive 1998

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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
____________________________________________________________________



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