Representation Definition and 770 Threads

Does anybody know whether the following irreducible representations of SU(2) are unitary? g belongs to SU(2) [U_j(g) f](v) = f(g^{-1} v) f is an order-2j homogeneous complex polynomial of two complex variables v = (x, y) e.g. for j = 1, f = 2x^2 + 3xy + 4y^2

Can please explain to me what a representation of a group is please? Hopefully something more illuminating than what I might find on wikipedia or eric weissteins mathworld. Also, perhaps illustrated with an example.

I see this term a lot. I know its something to do with a group but I'm not too sure what it is. Also - how does a representation (mathematical concept) translate into particle physics concept.

I am reading ahead for my Group Theory introduction to QFT and I have a question about the dual representation. If the dual representation is the same as the ordinary representation, that is to say the ordinary representation is "real", how do we represent anti-particles in this case? This...

Dear Experts. Do you know some literature on representation of rational numbers by formulas? TIA.

what is the reason behind choosing the linear vector spaces in representing the state of a system? why is it convenient ? and why do we actually need a linearity ?

I am looking for simple explanation for the idea of LSZ representation in quantum fields theory. thanks in advance :smile:

does anyone know what representation in group Oh = O x i , is the polar vector E a basis? E has components Ex, Ey, and Ez. How would I go about showing this? Thanks.

Hi, I have a question regarding group theory. For the cyclic group C2 with elements e and a, what are the matrices of the regular representation? How do you find this? How would I reduce this representation into irreducible representation? Lastly, how do I find a matrix which brings the...

I'm in India, I don't know about other places. I can't seem to find a channel broadcasting programmes and commercials without a woman. It's not that I don't want women on TV, but its the way they potray women that I don't like. Is this what Men and women who fought for equal rights for women...

Hey, jus an after thought: Which greek god would you associate with biology and Which person(s) would you associate with biology and which work do u tink best represent biology lastly what breakthrought(s) do u tink represent biology??

Louis de Broglie hypothesized every particle moving with momentum p has a wavelength of \lambda=\frac{h}{p} If I understand it correctly, is the de Broglie wavelength directly related to the wavelength of \psi(x)? But because according to quantum physics, the particle coexists with the...

Is there a graph or chart somewhere that would show how much bandwidth can be handled at certain frequencies?

I, in fact, know the correct Fourier representation for the following (it was given to me): f(t)=0 \text { if } -\pi \leq \omega t \leq 0 and f(t)=sin(\omega t) \text { if } 0 \leq \omega t \leq \pi \hrule I'm curious about the derivation that led to it -- specifically...

here your are my last contribution to number theory, i tried to send it to several journals but i had no luck and i was rejected, i think journals only want famous people works and don,t want to give an oportunity to anybody. the work is attached to this message in .doc format only use Mellin...

Let's say I wanted to prove that, given n points, it takes a maximum of a (n-1)th degree polynomial to represent them all. How would I do it? My instinct is to just say because you need a max of (n-1) max/mins ...

For the Schrodinger equation for a hydrogen atom, we need to write out: p^2/2m for the electron. If we define our basis states to be a linear discrete array of points, let's say 4 points. 0,d,2d, and 3d, where is some distance, on the order of a Bohr radius. How do I write p as an...

I'm rather new to physics in general, so bear with me in my potential ignorance. Considering we have no idea of the absolute properties of higher dimensions, how is it that they're identified in equations? This especially perplexes me when thinking about the Kaluza-Klein theory, or even...

find the series for sin(x)/x. I believe this would just mean dividing the series representation of sin(x) by x, therefore sin(x)/x=1-x^2/3!+x^4/5!-x^6/7!...=sigma(x^2n/(2n+1)!) how then would we find the radius of convergence and interval of convergence. is the series n/sigma(1/k(k+2))...

Is there an accurate way to write the value of an Irrational number? If there is no an accurate way to write the value of an Irrational number, then can we conclude that no irrational number has an exact place on the real line? And if there is an exact place to an irrational number on the...