(h) Coefficients of terms in the expansion of Spherical Waves.Sorry for the typo.
On Sat, Apr 13, 2013 at 8:17 PM, Amit Jamadagni <bitsjamada...@gmail.com>wrote: > Coming to the first point of quantum related group theory ... I was lucky > that I went through the thread and found the paper > > https://groups.google.com/group/sympy/browse_thread/thread/36c44041ff0ef792 > > A very quick scan gave me some implementation can be done with the > matrices.(Not completely sure on the theory)(Still not dropping the idea of > quantum group representations (I need some material on it)). > > Coming to the improvements in quantum module , I again went through the > Varshalovich and below are the things that I can think I can work on : > > 1.With reference to the covariant and contravariant co ordinates . Is > there such kind of implementation between co ordinate axis (Referring to > the first chapter).It would great if these were implemented and relation > between different types of rotation Cayley-Klein parameters and Euler > angles. > > 2.Moving onto Spherical Harmonics > A very quick scan gave me the following topics that can be worked on > > (a) Spherical Harmonics in terms of other functions (since we have > Legendre polynomials implemented). > Symbolic Representation in terms of derivatives. > > (b)Representation of Spherical Harmonics as a Power series of > Trigonometric functions (this has several subcases ) (pg 133 - 138) > > (c) Then again relationship between Spherical Harmonics and Special > Functions (Again there are few polynomials here ). > > (d)Then moving on there are some integral representations (I guess again > we can use them to represent in terms of symbols , rather than computing > them , as far as i understand there can be a symbolic representation of > it). > > (e)Then we can implement the changes in harmonics under rotation (There is > a lot that can be done in this pg 141 - 142) > > (f)Recursion Relations can be used in testing purposes. > > (g)Numerical values can again be used for tests (pg 155 -157) > > (h) Coefficients of in the expansion of Spherical Waves. > > Coming to the topic of irreducible tensors and tensor implementation of > tensor spherical harmonics I need to get my math on this.This seems not to > be so straight forward but will make an attempt and get back to it as soon > as possible.I hope everything was answered as expected. > > I hope and wish the content above would be sufficient for a project of the > magnitude of GSoC,This would be a sincere attempt to make the Quantum > module more robust.I hope a review on this (they mostly use recursive > formula and few are straight implementations). I was also going through > other open source Quantum Modules and found QuTip > http://code.google.com/p/qutip/ interesting.Can some ideas be taken from > the above module to enhance and improve the present Quantum module.A review > on this would be great. > > > > On Fri, Apr 12, 2013 at 12:25 AM, Sean Vig <sean.v....@gmail.com> wrote: > >> Sorry for taking so long to comment on this. >> >> > quantum related group theory (SU(2) SU(3) groups) >> >> I'm not familiar off-hand with groups in angular momentum going beyond >> SU(2) and SO(3), if you could find something (I know it was mentioned in >> the original description of available angular momentum related projects), >> you could pursue that. >> >> > if there exists an implementation of transition between various >> coordinate system and use of the various matrices related to quantum theory >> in sympy >> >> At least with the angular momentum stuff, there are transformations >> between x/y/z bases and the rotation operator for transformations to >> arbitrary cartesian bases. Is that what you're asking, or do you have >> something else in mind? >> >> > Irreducible tensors >> >> I think this would make a good project, namely integrating irreducible >> tensor operators and spherical harmonics. The key here would be trying to >> work with development of the tensor module outside the physics module, >> which has been the source of much discussion. >> >> Sean >> >> -- >> You received this message because you are subscribed to the Google Groups >> "sympy" group. >> To unsubscribe from this group and stop receiving emails from it, send an >> email to sympy+unsubscr...@googlegroups.com. >> To post to this group, send email to sympy@googlegroups.com. >> Visit this group at http://groups.google.com/group/sympy?hl=en-US. >> For more options, visit https://groups.google.com/groups/opt_out. >> >> >> > > -- You received this message because you are subscribed to the Google Groups "sympy" group. To unsubscribe from this group and stop receiving emails from it, send an email to sympy+unsubscr...@googlegroups.com. To post to this group, send email to sympy@googlegroups.com. Visit this group at http://groups.google.com/group/sympy?hl=en-US. For more options, visit https://groups.google.com/groups/opt_out.
