Recent content by cedricyu803
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Graduate Mirror Reflection of a Wave: Analyzing the Outgoing Wave
Oh right! Thanks!- cedricyu803
- Post #3
- Forum: Special and General Relativity
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Graduate Mirror Reflection of a Wave: Analyzing the Outgoing Wave
Hi, In (1+1)D Minkowski spacetime, with coordinates (t,x), let's say there is an incoming plane wave of frequency \omega, \phi_{in}(t,x)=e^{-i\omega (t+x)}. There is a mirror, x=z(t) It reflects the incoming plane wave and emits an outgoing plane wave. Question: why is the outgoing wave...- cedricyu803
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- Mirror Wave
- Replies: 2
- Forum: Special and General Relativity
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Graduate Sign of Levi-Civita Symbol in spherical coordinates
Followup question: I am struggling to move from eq. 93.16 to 93.17. Now that n=\frac{1}{16 \pi^2} \int d^4x Tr(F_{\mu \nu}\tilde{F}^{\mu \nu}) =\frac{1}{16 \pi^2} \int d^4x \partial _\mu Tr(\epsilon^{\mu \nu \sigma \tau} (A_\nu F_{\sigma \tau}+\frac{2i}{3} A_\nu A_\sigma A_\tau)) \equiv...- cedricyu803
- Post #4
- Forum: High Energy, Nuclear, Particle Physics
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Graduate Sign of Levi-Civita Symbol in spherical coordinates
Ahh right, now I got it. Thanks a lot- cedricyu803
- Post #3
- Forum: High Energy, Nuclear, Particle Physics
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Graduate Sign of Levi-Civita Symbol in spherical coordinates
Hi, I am going through the derivation of an instanton solution (n=1) in Srednicki Chp. 93. Specifically, I went through eqn.s 93.29-93.38. However the sign of the Levi-Civita Symbol is bugging me: It says that in 4D Euclidean space, \epsilon^{1234}=+1 in Cartesian coordinates implies...- cedricyu803
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- Coordinates Levi-civita Sign Spherical Spherical coordinates Symbol
- Replies: 4
- Forum: High Energy, Nuclear, Particle Physics
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Graduate Srednicki 58: EM current conservation & Gauge Symmetry
Thanks for your reply. I understand what Srednicki meant. And my understanding is that gauging the U(1) makes the global EM U(1) current always conserved. What I wanted to show explicitly is $$\partial _\mu j^\mu=0$$ for the EM current (global U(1)) So I will need to make use of...- cedricyu803
- Post #3
- Forum: High Energy, Nuclear, Particle Physics
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Graduate Srednicki 58: EM current conservation & Gauge Symmetry
Hi I am re-reading Srednicki's QFT. In chapter 58, he points out that the Noether current $$ j^\mu=e\bar{\Psi}\gamma^\mu\Psi$$ is only conserved when the fields are stationary, which is obvious from the derivation of the conservation law. Meanwhile he assumes that $$\partial _\mu...- cedricyu803
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- Conservation Current Em Gauge Gauge symmetry Srednicki Symmetry
- Replies: 2
- Forum: High Energy, Nuclear, Particle Physics
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[Srednicki] Charge Conjugation of Dirac Spinor
Thanks very much for your recommendation. I will look for this book in a public library. I am lucky to have been recommended Srednicki's book by my prof as well, after I told him I was having a hard time Peskin & Schroeder. Hopefully I can finish the whole book by the end of this semester...- cedricyu803
- Post #5
- Forum: Advanced Physics Homework Help
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[Srednicki] Charge Conjugation of Dirac Spinor
Oh right. I wasn't aware of the difference between the operator and the matrix. So the charge conjugation of \beta does nothing to it. That's why I got a minus sign. Thanks very much!- cedricyu803
- Post #3
- Forum: Advanced Physics Homework Help
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[Srednicki] Charge Conjugation of Dirac Spinor
Homework Statement I am reading Srednicki's QFT up to CPT symmetries of Spinors In eq. 40.42 of http://web.physics.ucsb.edu/~mark/ms-qft-DRAFT.pdf I attempted to get the 2nd equation: C^{-1}\bar{\Psi}C=\Psi^{T}C from the first one: C^{-1}\Psi C=\bar{\Psi}^{T}C Homework Equations...- cedricyu803
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- Charge Charge conjugation Dirac Spinor Srednicki
- Replies: 4
- Forum: Advanced Physics Homework Help
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Graduate Srednicki Ch5 creation operator time dependence
1. OK now k in a(k) is the operator in the Schrödinger Picture In \varphi^+ (x)=e^{iH_{0}t}\varphi^+ (\mathbf{x},0)e^{-iH_{0}t}=\int \widetilde{dk}e^{ikx}a(\mathbf{k}) follows from [a(\mathbf{k}),H_{0}]=\omega a(\mathbf{k}), so e^{iH_{0}t}a(\mathbf{k})e^{-iH_{0}t} is the Heisenberg picture...- cedricyu803
- Post #3
- Forum: Quantum Physics
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Graduate Srednicki Ch5 creation operator time dependence
Hi folks, originally I read Peskin & Schroeder but then I realized it was too concise for me. So I switched to Srednicki and am reading up to Chapter 5. (referring to the textbook online edition on Srednicki's website) Two questions: 1. In the free real scalar field theory, the creation...- cedricyu803
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- Creation Operator Srednicki Time Time dependence
- Replies: 2
- Forum: Quantum Physics
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Studying in Top-Uni in the World?
Like you, I am studying at one of the two good universities in physics in Hong Kong. Which field are you interested in? From my observation, there are 2 or 3 professors in my university (guess which) got their PhDs in HK on material science/ solid state physics... then got postdoc positions in...- cedricyu803
- Post #13
- Forum: STEM Academic Advising
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How is Elastic Energy of a Bent Steel Rod Approximated?
Homework Statement [Math. for Physicists, M. Stone Problem 1.4] Assume that a rod of length L is only slightly bent into the yz plane and lies close to the z axis, show that the elastic energy can be approximated as U[y]= \int_{0}^{L} \frac{1}{2}YI(y'')^2 dz Homework Equations It is...- cedricyu803
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- Elastic Energy Rod Steel
- Replies: 1
- Forum: Advanced Physics Homework Help
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PhD in particle physics/ cosmology in US
First thanks to Sentin3l for providing a nice website for me to look at. For dreamLord's comment, I think following the European system we take the same advanced ug math and phys courses like US students do. The transcript will tell. The only disadvantageous is that we have one less year to...- cedricyu803
- Post #5
- Forum: STEM Academic Advising