While I was going through quantum algebra I found q calculus and a quick search on the documentation gave me q related functions. Is there a complete implementation of q calculus.Reference( Klimyk A., Schmudgen K. Quantum groups and their representations (Springer, 1997)).And I request someone from the physics community to comment on the above mentioned topics as it would be really helpful.Thanks.
On Sat, Apr 13, 2013 at 8:19 PM, Amit Jamadagni <bitsjamada...@gmail.com>wrote: > (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. 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