On Tue, Mar 22, 2011 at 6:51 PM, Ondrej Certik <ond...@certik.cz> wrote: > HI Anatolii, > > On Tue, Mar 22, 2011 at 5:43 PM, weralwolf <weralw...@gmail.com> wrote: >>> Can you write a few more words about the project? Which disturbance >>> theory, how the corrections would be calculated and how sympy would be >>> used, and which features will be improved? >>> >>> Ondrej >> Thanks for questions, Ondrej. >> Perturbation theory comprises mathematical methods that are used to >> find an approximate solution to a problem which cannot be solved >> exactly, by starting from the exact solution of a related problem. >> Perturbation theory is applicable if the problem at hand can be >> formulated by adding a "small" term to the mathematical description of >> the exactly solvable problem. For example if we should calculate >> approximation for hydrogen atom in magnetic field using eigenfunctions >> and energy levels calculate without field. >> Corrections will be calculated due to classic theory through >> perturbation matrix elements. More about >> http://en.wikipedia.org/wiki/Perturbation_theory_(quantum_mechanics) . > > Oh, I didn't know you meant perturbation theory by "disturbance > theory". I know what perturbation theory is. I even have some notes > here: > > http://theoretical-physics.net/dev/src/quantum/qm.html#systematic-perturbation-theory-in-qm > >> SymPy will be used as tool set for it, because there implemented large >> part of required functionality. >> Also I want implement working with creation and annihilation operators >> which will be good improvement, cause it simplify many calculations in >> quantum theory. > > There already is some implementation of the annihilation and creating > operators in sympy.physics.quantum, but it surely needs improvements. > Perturbation theory would be really cool, as those calculations are > really tedious to do by hand. > > Definitely, I think lots of people would be interested in such a > project. I would suggest you to try to play with the current quantum > module in sympy and then see (in details) what things to improve and > what exact steps would have to be done to implement the perturbation > theory.
Yes, we would be interested in perturbation theory, especially in an abstract sense, so a wide range of system, from single particle non-relativistic to many particle rel. could be treated. I would check out the existing code, especially the second quantization stuff and see what you think could be done. Cheers, Brian > Ondrej > > -- > 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. > > -- Brian E. Granger, Ph.D. Assistant Professor of Physics Cal Poly State University, San Luis Obispo bgran...@calpoly.edu elliso...@gmail.com -- 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.
