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1D coupling 2nd order ODEs
Posted:
Oct 30, 1996 12:20 AM


[post only Mathematica solutions to this.  moderator]
Hi all,
I am wondering if there exists some programs to calculate the 1D coupling Schrodinger and Poisson equations like:
_ 2 2 h d    f (z)  V(z) * f (z) = E (z) (1) 2m 2 i i i d z
2 d __ 2  V(z) = A(z) + B(z) * \ f (z) (2) 2 /_ i d z i
with boundary conditions:
d V(0) d V(inf) f (0)= 0; f (inf)=0;  = F ;  = G; i i d z d z
where F and G are known constants.
A(z), B(z) are known functions of z ; fi(z), Ei are i th eigenfunction and eigenvalue of Schrodinger equation (1). V(z) is a potential function of z.
Thanks in advance for any possible hint, even just solve Schrodinger or Poisson equation without coupling.
 HengChih hengchih@leland.stanford.edu



