2011/3/23 Julien Rioux <julien.ri...@gmail.com> > On Mar 23, 12:57 pm, weralwolf <weralw...@gmail.com> wrote: > > Hello, where my simple example of calculations corrections due to > > perturbation theory for hole with infinite walls. I thinks I didn't > > use all sympy features, so if it possible guide me. > > Source:http://pygments.org/demo/16998/ > > I think you forgot to put > from sympy import S > > at the top. >
Yes, thanks, I really miss it! I just remove it in the last moment before highlighting code. Did I get it right that you calculate the ground state energy of the > 1D infinite potential well of width $a$ with a perturbation which is > linear in $x$, up to second order in perturbation? > Yes, you are right. I try to calculate the ground state energy for that case what you describe. > I think in general your code is fine. What you might want to do is > - have V an operator > - same for the unpertubed Hamiltonian H > - being able to write those operators in matrix form in a particular > basis > - find the basis which diagonalizes H > - use this basis to represent H and V in matrix forms > - compute perturbation theory to first, second, etc. order by looking > up the matrix forms > - make it general enough to handle degenerate cases > > I think some of this is possible already, but I haven't looked deeply > into it. > Thanks, I'll look deeply, may be I'll find some solutions of this points. I'll search methods to solve it in current SymPy state. -- > You received this message because you are subscribed to the Google Groups > "sympy" group. > To post to this group, send email to sympy@googlegroups.com. > To unsubscribe from this group, send email to > sympy+unsubscr...@googlegroups.com. > For more options, visit this group at > http://groups.google.com/group/sympy?hl=en. > > -- You received this message because you are subscribed to the Google Groups "sympy" group. To post to this group, send email to sympy@googlegroups.com. To unsubscribe from this group, send email to sympy+unsubscr...@googlegroups.com. For more options, visit this group at http://groups.google.com/group/sympy?hl=en.
