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.
