(a) is already implemented so would move on from (b) everything would be a symbolic representation.Thanks.
On Sun, Apr 14, 2013 at 1:58 AM, Amit Jamadagni <bitsjamada...@gmail.com>wrote: > 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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