2021-01-25 20:53:38 +0200 | received badge | ● Student (source) |
2021-01-25 19:49:13 +0200 | asked a question | Trying to solve the Schrodinger equation using sage (well) Hi guys, I'm trying to solve the Schrodinger equation through sage, for the potencial well. I have it:var('k a ') psi=function('psi')(x) eqs=diff(psi,x,2)+k^(2)*psi==0 assume (k>0, a>0 ) EQS=function('EQS')(x) EQS= desolve (eqs, psi, ivar=x ) var ('A B c') result0= Acos(k0)+Bsin(k0)==0 result1= Bsin(ka)==0 assume (B>0) You guys know how can i find the constants A and B through boundary conditions? My conditions are: Psi(0)=0 and Psi(a)=0, If a put it in desolve function it return me zero. So i tried to work with the equations separated but i cannot figure out how to get k=n*pi/a (the expected result) |
2021-01-25 19:49:13 +0200 | asked a question | Solving the Schrodinger equation using sage (Well) I'm trying to solve the Schrödinger equation through Sage, for the potential well. I wrote: How can i find the constants A and B through boundary conditions? My conditions are: Psi(0)=0 and Psi(a)=0. If i put it in desolve function it return me zero. So i tried to work with the equations separated but i cannot figure out
how to get |