Recent content by bartadam
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Graduate Reps of lorentz group and pauli and gamma matrices
That's because I have been sloppy writing stuff.- bartadam
- Post #9
- Forum: Quantum Physics
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Graduate Reps of lorentz group and pauli and gamma matrices
oh cheers. Yeah I came across that page but didn't see the bit where it said 'click here' :lol: Sorry that just made me look lazy.- bartadam
- Post #7
- Forum: Quantum Physics
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Graduate Reps of lorentz group and pauli and gamma matrices
lol thanks. I was worried I was being completely thick then. don't suppose you have a link do you for where I can see it for free? can't find it. Im generally confused on this whole matter. Ultimately I want to perform a super poincare transformation on superspace. I.e a susy transform then a...- bartadam
- Post #5
- Forum: Quantum Physics
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Graduate Reps of lorentz group and pauli and gamma matrices
Then now I really do not understand. In order to maintain covariance the following expression is true. S_{-1}(\Lambda)\gamma^{\mu} S(\Lambda)=\Lambda^{\mu}_{\nu}\gamma^{\nu} if we write a lorentz transformation on a spinor as \psi'(x')=S(\Lambda)\psi(x)=S(\Lambda)\psi(\Lambda_{-1}x') then say...- bartadam
- Post #3
- Forum: Quantum Physics
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Graduate Reps of lorentz group and pauli and gamma matrices
I'm very confused By performing a lorentz transformation on a spinor \psi\rightarrow S(\Lambda)\psi(\Lambda x) and imposing covariance on the Dirac equation i\gamma^{\mu}\partial_{\mu}\psi=0 we deduce that the gamma matrices transform as S(\Lambda)\gamma^{\mu}...- bartadam
- Thread
- Gamma Gamma matrices Group Lorentz Lorentz group Matrices Pauli
- Replies: 9
- Forum: Quantum Physics
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Graduate Cartan/Weyl basis. Please check I understand it properly
I have a six dimensional lie algebra. I checked it was semi-simple by checking if the killing form was not invertible. I found a set of two (I think) maximally commuting elements which I called H1 and H2 and found their matrix representation by calculating the structure constants. I have put...- bartadam
- Thread
- Basis
- Replies: 1
- Forum: Linear and Abstract Algebra
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Maple Linear Algebra Maple Problem: Finding Basis Coordinates in a Vector Space
Thanks, yeah it dawned on me sorted it. Forgot my elementary linear algebra. Thank for your reply.- bartadam
- Post #3
- Forum: MATLAB, Maple, Mathematica, LaTeX
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Maple Linear Algebra Maple Problem: Finding Basis Coordinates in a Vector Space
say I have a set of basis vectors of a vector space v1, v2...vn and some element of the vector space, say V What command do I use in maple to calculate the coordinates of V in this basis? I can't find one in the linalg package- bartadam
- Thread
- Algebra Linear Linear algebra Maple
- Replies: 2
- Forum: MATLAB, Maple, Mathematica, LaTeX
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Graduate Is My Lie Algebra 4D or 5D Given These Structure Constants?
Hi again, I could really use some help on this please. I have also realized T1+T2+T3=0. I do not understand. Does this mean g1+g2+g3=0. I do not believe this at all.- bartadam
- Post #2
- Forum: Linear and Abstract Algebra
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Could a Microscopic Compound Solve the Storage Issue for Fuel Cell Cars?
maybe your teacher meant water molecules are polarised.- bartadam
- Post #10
- Forum: Advanced Physics Homework Help
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Graduate Generalized Cartan Matrix and Non-Semisimple Lie Algebras
Anyone? Any help would be good.- bartadam
- Post #2
- Forum: Linear and Abstract Algebra
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Fuel Saving Thread: Motoring Tips & Tricks
What matters most in a car is the following... a) Fuel economy and emisions b) crash worthyness c) reliability What you want is the most uneconomical and polluting car there is, something with a big dirty V8 or something. No electronics or high tech stuff. Just basic engine, gearbox and wheels...- bartadam
- Post #246
- Forum: Mechanical Engineering
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Graduate Generalized Cartan Matrix and Non-Semisimple Lie Algebras
I have a lie algebra whose killing form is degenerate, hence not semi simple by cartan's second criterion. So I cannot apply a Cartan Weyl Basis to classify the algebra. I currently have an algebra with 5 generators. Later I will have one with 11 generators and I am hoping I can spot how i...- bartadam
- Thread
- Matrix
- Replies: 1
- Forum: Linear and Abstract Algebra
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Graduate What Does Closed Mean in the Context of Lie Subgroups?
yes group multiplication. I don't know why it's specifying closed subgroup to be honest. The word is redundent. Yes I didn't bother with associativity but at this time in the evening I couldn't be arsed lol- bartadam
- Post #6
- Forum: Linear and Abstract Algebra
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Graduate What Does Closed Mean in the Context of Lie Subgroups?
I don't understand what the problem is. All subgroups are closed otherwise it's not a subgroup it's just merely some subset of G- bartadam
- Post #4
- Forum: Linear and Abstract Algebra