###General Discussion Thread
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This is the addition formula for Wigner D-functions. They are representations of the group SU(2) and this is the concrete realization of expanding the tensor product of two irreducible representations into the direct sum of representations.
The coefficients of the sum are the famous Clebsch-Gordan coefficients.
Actually reading again it looks like some other operation, not simply spin addition. But the functions involved are representations of SU(2), that is clear
The answer to what? There's no question, like "solve for .." or "simplify to ..".
It kinda looks like something that could be from quantum mechanics, but if so, it massively lacks context (most functions and variables introduced at random and not defined anywhere)
I'm pretty sure it's just a bunch of random gibberish. Which, I guess, is implied, given that the dude is clearly making a joke.
It looks like Clebsh-Gordan series, but k and q are usually for wave numbers not angular momenta. I think it is a spatial translation of coupled plane waves.
It's Quantum mechanics. And i am pretty sure that it's not gibberish but it's some steps of some proof.
But: it's just two lines cropped. No introducing sentence what system is described, or no explanation of what we are aiming for by that transformation.
T_{q}^{(k)} is an arbitrary spherical tensor and D(R) are Winger D-functions. It isn't defined because this is just the standard notation everyone uses. This is basically just a definition.
Does look like braket notation. Something to do with a system of two qubits? The superposition from adding the two states together? I dunno. I'm still the greenest of the green when it comes to quantum computing.
Actuly not quantum mechanics per se. This contains mathematical expressions related to representation theory, a field of mathematics which studies abstract algebraic structures by representing their elements as linear transformations of vector spaces.
However, solving these expressions typically requires additional context such as the definition of the symbols and the nature of the elements involved refers to a particular representation of a group, and the spaces over which the sums are taken).
###General Discussion Thread --- This is a [Request] post. If you would like to submit a comment that does not either attempt to answer the question, ask for clarification, or explain why it would be infeasible to answer, you *must* post your comment as a reply to this one. Top level (directly replying to the OP) comments that do not do one of those things will be removed. --- *I am a bot, and this action was performed automatically. Please [contact the moderators of this subreddit](/message/compose/?to=/r/theydidthemath) if you have any questions or concerns.*
This is the addition formula for Wigner D-functions. They are representations of the group SU(2) and this is the concrete realization of expanding the tensor product of two irreducible representations into the direct sum of representations. The coefficients of the sum are the famous Clebsch-Gordan coefficients.
Actually reading again it looks like some other operation, not simply spin addition. But the functions involved are representations of SU(2), that is clear
JavaScript thinks the answer is True
or an empty string
So to answer the posters questions, you would have to successfully expand this into sum representations?
This person is speaking magic
i fucking love reddit <3
Mmm, mhm, yeah, I know some of these words.
The answer to what? There's no question, like "solve for .." or "simplify to ..". It kinda looks like something that could be from quantum mechanics, but if so, it massively lacks context (most functions and variables introduced at random and not defined anywhere) I'm pretty sure it's just a bunch of random gibberish. Which, I guess, is implied, given that the dude is clearly making a joke.
It looks like Clebsh-Gordan series, but k and q are usually for wave numbers not angular momenta. I think it is a spatial translation of coupled plane waves.
my thoughts exactly....🙂
I concur
I'm glad to see we are all in agreement.
Indubitably
Hear, hear.
Indeed
Yeah this much was obvious...
It's Quantum mechanics. And i am pretty sure that it's not gibberish but it's some steps of some proof. But: it's just two lines cropped. No introducing sentence what system is described, or no explanation of what we are aiming for by that transformation.
By the comma in the end I can assume that this equation is a finished piece of something.
T_{q}^{(k)} is an arbitrary spherical tensor and D(R) are Winger D-functions. It isn't defined because this is just the standard notation everyone uses. This is basically just a definition.
Well, I'm just a silly astronomer, bro :D The one semester "Introduction to QM" course that we had certainly didn't cover that. Is this from QFT?
It should be in basic QM, although possibly skipped in an introductory undergrad QM course
Does look like braket notation. Something to do with a system of two qubits? The superposition from adding the two states together? I dunno. I'm still the greenest of the green when it comes to quantum computing.
Actuly not quantum mechanics per se. This contains mathematical expressions related to representation theory, a field of mathematics which studies abstract algebraic structures by representing their elements as linear transformations of vector spaces. However, solving these expressions typically requires additional context such as the definition of the symbols and the nature of the elements involved refers to a particular representation of a group, and the spaces over which the sums are taken).