Generators Definition and 288 Threads

How do I calculate the number of generators of SU(n) group (which is extremely important in particle physics)? In the case of SO(n), I can do that using the physical interpretation of the group, i.e., it is related to rotations in n-dimensional Euclidean plane. What do I do in the case of SU(n)...

The group SO(5) is relevant at times in particle physics. Can anybody please explain how to calculate the number of generators of SO(5)?

So the generators of the Lorentz Lie algebra relations obey [M^{\rho \sigma}, M^{\tau \mu}] = g^{\sigma \tau} M^{\rho \mu} - g^{\sigma \mu} M^{\rho \tau} + g^{\rho \mu} M^{\sigma \tau} - g^{\rho \tau} M^{\sigma \mu} where (M^{\rho \sigma})^\mu{}_\nu = g^{\rho \mu} \delta^\sigma{}_\nu -...

I was thinking if the strenght of the permanet magnet could be parallel to I , the rate at which the the magnet (or wire) rotates parallel to V & of course the wire resistance would go with R . If there is some type of way to determine the outcome of a generator before building it, starting it...

Can someone give some clarification of why this would be the case: "A group with less then 1000 elements can be generated by less than 10 elements" Clearly this is the case for some groups, but is it really the case for any group with less than 1000 elements?

With the Lorentz group (SO(1,3) = SU(2)xSU(2)), if you're working with the "true" SU(2) generators N^+_i and N^-_i (rather than the generators J_i and K_i), it is straightforward to find the form of the generators in either spinor rep (0,1/2) or (1/2,0) by setting either N^+ or N^- to zero and...

Hi friends Between d.c generators and a.c generators only difference is commutator which rectified a.c to d.c. or any thing other. What need of d.c generator? Because I never see anywhere d.c generator thanks a lot

I have been intigued by the linear generator concept. No one has really seemed to take this idea further. Maserati is integrating them into shock absorbers, and some have applied them to generate electricity from waves. But where are these generators, can you buy them, or look at the...

I have 2 questions: 1. Can anything be said about the order of a group from the order of its generators (or vice versa)? E.g. if a group G = <a,b>, is there any theorem that says the order of elements a, b is divisible by the order of G, or maybe, if G = <a,b>, then the order of G is the...

I know that the iron core of a solenoid will result in a higher magnetic field than a hollow core when a current is running through it. I'm wondering if the reverse is true. Will an iron core result in a larger current when the solenoid is exposed to a changing magnetic field? I want to...

I'm wondering if it make much difference if they used silver instead of copper wire in electric generators? Also, how does switching from silver to copper wire affect the voltage and current, or does it just create some resistance?

a) I need a simple description of how a Neutron Generator is built and how it works. b) Where can I see a picture of what a Neutron Generator looks like? c) What is a Plasma Focus (PF) Neutron Generator? d) Is PF the only type of Neutron Generator or are there other types?

Why is it that the Pauli spin matrices ( the operators of quantum spin in x,y,z) are the generators of a representation of SU(2)? I understand that we use the 2X2 representation as it is the simplest, but why is it that spin obeys this SU(2) symmetry and how is it that we come up with the Pauli...

I'm programming in Java and using the Random class and I'm not sure if it makes a difference whether I use a single accessible Random object for the whole program or if I should create multiple instances (one for each object needing it?). Are there disadvantages to using one instead of the...

The first big myth about windmills and wind turbines is that they are very noisy. http://windpowerspecialist.com/articles_3.html

Hey all, i have a summary report coming up which is assessed. I was just wondering if u guys could help out on the know how, terms and all the other stuff to go along with that stuff. Apparently the Summary has a 'prac' layed out like a case study i guess. The teacher said that we would need to...

I'm pretty sure someone somewhere has already built one, I've gone over the concepts involved and it does seem both practical and possible. The idea is this: electric-powered car that is recharged by several wind-generators(essentially fans on the roof) that recharge the batteries once the car...

If I am using vortex generators in an attempt to delay diffuser separation what would the consequence be of the vortex generators stalling? For instance if I set them at and angle of attack to the flow that was past the stall point.

Hello, I am trying to prove eq 2.13 in srednicki: \delta \omega _{\mu\nu}U(\Lambda)^{-1}M^{\mu\nu}U(\Lambda) = \delta \omega _{\mu\nu}\Lambda^\mu{}_{\rho}\Lambda^\nu{}_{\sigma}M^{\rho\sigma} where we have expanded the following and comparing the linear term...

I am trying to do some self-study and plow through Ballentine's book on Quantum Mechanics. I thought I was following the majority of it until I got to Sec. 3.3, in particular the derivation of the multiples of identity for the commutators of these generators. For example, the commutator of...

Does anyone know what a matrix representation of the poincare group generators looks like (specifically the translation parts)? I've been trying to figure this out but I get matrices that are dependent on the group parameters.

considering the group of Lorentz determines the elements that correspond to the representation (i,j) - (1/2,1/2) , (1,0),(0,1) find generators for this transformation and the properties which these elements to the group of rotation anyone know how i find theses generators and these...

i am asking about the generators we use in house when there is a power failure(now a days people use inverters) here goes the question suppose the generator is running (max ouput is 1kw) but we are using a electric bulb(100w) is it running in its max potential or using less fuel compared to...

Hey Does anyone know where I can find the generators of the group of rotations in four dimensions? thanks!

Equation 2.14 of Srednicki is: U(\Lambda)^{-1} M^{\mu \nu} U(\Lambda) = \Lambda^{\mu}_{\,\,\rho} \Lambda^{\nu}_{\, \, \sigma} M^{\rho \sigma} He says that writing \Lambda = 1 + \delta \omega , one obtains the usual commutation relation of the M_{\mu \nu} : [ M^{\mu \nu},M^{\rho...

Homework Statement Consider the group {G, Xn} where G is the set containing the n - 1 residue classes modulo n excluding 0. Which members are generators of {G, Xn} when n = 7? The Attempt at a Solution The right answers are 3 and 5. I get 2 only. My table of results 1: 1^1 = 1 2: 2^1 =...

I know the representations of Lorentz generators M\mu\nu as 4X4 matrices. This matrices satisfy the commutation relation(Lie algebra of O(3,1)) However I think these 4X4 matrix representations are not unique. Is there any other representations satisfying the commutation relation? 2X2...

1. Do you own a dog? 2. Is your dog ever in cold weather? 3. Does he have a doghouse with a heat generator? 4. Is your dog outside for extended periods of time?

Hi, I'm trying to build a vertical wind powered turbine system and I'm have trouble finding a small, cheap generator/alternator to use. Does anyone have any suggestions?

Homework Statement Prove any cyclic group with more than two elements has at least two different generators. Homework Equations A group G is cyclic if there exists a g in G s.t. <g> = G. i.e all elements of G can be written in the form g^n for some n in Z. The Attempt at a...

Hello once again. I'm trying to understand the relation between the superspace representation of the SUSY generators Q_\alpha,\overline Q_{\dot\beta} and the covariant derivatives on superspaces D_\alpha, \overline D_{\dot\beta}: Q_\alpha = \frac{\partial}{\partial\theta^\alpha} -...

Why the six generator of the restrict lorentz group are the three rotation's generator(angular momentum) and the three boost's generator?

Can I feed a 1200 amp 3phase AC electrical service with 2 separate 150kva power sources? (the sources being 150kva 120/208 3phase gas powered generators) Are there any issues with harmonics from seperately derived systems? Will each phases voltage still be 120v or by combing 2 seperately...

Find Generators and relations analogous to (2.13) for the Klein four group.? (2.13) i^4=1, i^2=j^2, ji=(i^3)j. (a) Find Generators and relations analogous to (2.13) for the Klein four group. (b) Find all subgroups of the Klein four group. Please show steps! Thank you.

Hey everyone I'm a physics student doing my last year of high school in Australia. For an assessment task I have to do a practical investigation on electric motors and generators but I am a bit lost on this subject. I need a few ideas that are easy to understand and prove/disprove using a...

Hi all...people always tell that the machine has a generating capacity of say 100MW..now... my doubt is..in how much time it generates those 100MW..that is in a day or in an hour something like that? This may be a basic doubt...i don't know..but i can't help it... Thanx

The man who trained my to perform electrical construction had been doing that kind og work for over 30 years. We always wanted to know just where the electrons come from. You have a generator pumping a flow down the wire, but those electrons have to come from somewhere. so... where...

It's been a while since I've been in the classroom and I'm having trouble figuring this one out. I'm trying to create a wind turbine and I need to calculate the size of the prop needed to power and electrical generator. For ease of numbers let's say I'm using a 2800watt generator...

Could you guys explain to me how a constant frequency generator regulates the voltage using thermistors, Wheatstone bridge and silicon controlled rectifiers.

Hey folks, Anyone have any idea where I might find the generators of the SU(8) group, or how I might construct them?? Thanks! :smile:

http://www.popsci.com/article/2006-07/diy-esp My explanation: 1) statistical anomalies are to be expected, due to the law of big numbers. 2) they're doing post-hoc predictions: "when statistical anomaly occurs => read the news and find the event"

scenario: If any generator ultimately 'pushes' current (free surface electrons) down a wire, moving trillions of trillions of electrons through power wires towards our homes and other uses . . . what is the source of electrons at the generator site to replenish electrons? There can not...

Ok I am mad confused about generators and kilowatt/kw hours... And how the power companies price stuff. http://www.peakpowertools.com/ProductDetails.asp?ProductCode=GGNQT100&Show=ExtInfo That thing produces 100kW I pay roughly 7 cents per kW hour from my power company. So if I used...

I am taking a first course in Lie algebras and currently working with this problem (see attached file). I understand that the product of the two operators should be regarded as composition. How to explain the final expression? Regards Staffan

Recently I got a whole new central heating system. Apparently it's all very efficient (over 90%). The boiler is used to produce hot water that's piped round the house to radiators, and also to provide instantaneous hot water for the taps. However, since it is gas fired, it throws out rather a...

Hi, I am having trouble understanding the three light bulb method for checking whether of not two generators have the same phase sequence. It states in my book, "If all three bulbs get bright and dark together, then the systems have the same phase sequnce." My question is, if the two...

A coal power plant with three power generators is used to power a small city. If each generator uses 1.22 X 10^8 J of chemical energy in the coal every hour, and the average annual energy consumption of the city is 1.61 X 10^12 J. What is the efficiency of the generators? (Assume the...

I have built a number of Marx generators ranging for 30KV to 4MV I have achieved good rise time but I was wondering if anyone else here had experience with them and could help me with decreasing the duration. I mainly need just building tips and such. My current one I am building will be in...

It is clear that a basis for a topology generates that topology. (i.e. the smallest topology containing the basis is the topology that the basis is a basis of) But if we look at a generating set for a topology, is this generating set necessarily a basis? I am guessing that no in general...

Homework Statement Let G be a finite cyclic group of order n. Let a be a generator. Let r be an integer, not zero, and relatively prime to n. a)Show that a^r is also a generator of G. Homework Equations The Attempt at a Solution For the first one I need to show that for any...