> 
> Hi,
> 
> Indeed it's a complicated thing to code in povray.
> Thanks anway for your answers.
> 
> Walid
> 
> 
> 

The solution for a square well:

    +--------+
    |        |
  L1|        |
    |        |
    +--------+
        L2

the hamiltonian for an infinitely deep square well is
  H = -(ħ²/2m)(ð²/ðx² + ð²/ðy²) + V(x,y)
   where V(x,y)=inf. for x<0, x>L1 or y<0, y>L2
         V(x,y)=0    for 0 =< x >= L1 and 0 =< y >= L2

   the Schroedinger is therefor
   (ð²psi/ðx²)+(ð²psi/dy²)=-(2mE/ħ²)psi

   the solution for valid waves and energies is:
   psi[n1,n2](x,y) = (4/(L1*L2))^(1/2) * sin(n1*PI*x/L1) * sin(n2*PI*y/L2)

   E[n1,n2] = (ħ²/8)*(n1²/L1²+n2²/L2²)

   with quantum numbers n1=1,2,3,.... and n2=1,2,3,...

   hope you see the characters as I typed them in (UTF-8).

   ... dave

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