Recent content by marcom
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Undergrad Contour integral from "QFT for the gifted amateur"
Perhaps because: ##\int_{-\infty}^{0} f(x)dx##=##-\int_{0}^{-\infty} f(x)dx##=##-\int_{0}^{+\infty} f(-x)d(-x)## ?- marcom
- Post #9
- Forum: Quantum Physics
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Undergrad Contour integral from "QFT for the gifted amateur"
Sorry to talk again about this but normally exchanging the limits of integration only introduces a minus sign ∫ ab=-∫ba And the result wouldn't be the same, so I don't understand why the substitution p -p works. (And to be precise in the book they calculate the integral from infinity to I am...- marcom
- Post #8
- Forum: Quantum Physics
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Undergrad Contour integral from "QFT for the gifted amateur"
OK, thanks a lot for your help!- marcom
- Post #7
- Forum: Quantum Physics
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Undergrad Contour integral from "QFT for the gifted amateur"
I obtain: ∫d|p||p| e-it (√|p| 2 + m 2)(ei|p||x|+e-i|p||x|)- marcom
- Post #5
- Forum: Quantum Physics
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Undergrad Contour integral from "QFT for the gifted amateur"
Thanks but I didn't understand- marcom
- Post #3
- Forum: Quantum Physics
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Undergrad Contour integral from "QFT for the gifted amateur"
Hi, Could you please help me understand the following example from page 76 of "QFT for the gifted amatur"? I can't see how the following integral becomes Thanks a lot- marcom
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- Amateur Contour integral Integral
- Replies: 8
- Forum: Quantum Physics
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Graduate Infinitesimal transformation of a field
Hi, Could you please explain me why, under the transformation of a complex valued field Φ→eiαΦ, for an infinitesimal transformation we have the following relation? δΦ=iαΦ Thanks a lot- marcom
- Thread
- Field Infinitesimal Transformation
- Replies: 1
- Forum: Quantum Physics
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Quantum QFT books in order of difficulty
Hi, I'd like to ask you if you could write a list of QFT books in order of increasing difficulty. Thanks!- marcom
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- Books Difficulty Qft
- Replies: 3
- Forum: Science and Math Textbooks
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Graduate Contour integral example from "QFT for the gifted amatueur"
Thanks!- marcom
- Post #3
- Forum: Quantum Physics
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Graduate Contour integral example from "QFT for the gifted amatueur"
Hi, I've never studied compex analysis before but I am trying to understand this example from "QFT for the gifted amatur". I don't understand why the residue at the pole is e-iEp(t-t')e-e(t-t'). How did the find e-e(t-t')? Thanks.- marcom
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- Contour integral Example Integral
- Replies: 2
- Forum: Quantum Physics
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Graduate Prerequisites for Quantum Field Theory (QFT)
https://fliptomato.wordpress.com/2006/12/30/from-griffiths-to-peskin-a-lit-review-for-beginners/- marcom
- Post #9
- Forum: Quantum Physics
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Graduate Particle in a box - Momentum and Energy
OK, it's an eigenfunction of p2, isn't it? ψn=(√2/a) sin (nπx/a) (d2/dx2) sin (nπx/a) = -(nπ/a)2 sin (nπx/a) p2ψn=-(iħ)2 (nπ/a)2ψn=(nπħ/a)2ψn- marcom
- Post #17
- Forum: Quantum Physics
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Graduate Particle in a box - Momentum and Energy
I found a page in the same site that proves my point: "the momentum is equally likely to be in either direction. The magnitude of the momentum is a constant, since this is a state with fixed energy, and " http://physicspages.com/2012/09/13/infinite-square-well-momentum/- marcom
- Post #14
- Forum: Quantum Physics
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Graduate Particle in a box - Momentum and Energy
I think that my question is wrong, the momentum is quantized actually. En=n2π2ħ2/2mL2 Pn2=2mEn=2mn2π2ħ2/2mL2 Pn=±nπħ/L- marcom
- Post #8
- Forum: Quantum Physics
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Graduate Particle in a box - Momentum and Energy
Hi, I have a problem understanding the particle in a box (V=0 inside, V=∞ outside), how is it possible that momentum can vary continuously while the energy spectrum is discrete? Aren't they related by E=p2/2m? What I am missing? Thanks!- marcom
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- Box Energy Momentum Momentum and energy Particle
- Replies: 16
- Forum: Quantum Physics