Recent content by Paulpaulpa

  1. Paulpaulpa

    I A ray crossing 2 media of different indices and energy conservation

    The ##I_i## are the intensity of the rays, in other words energy per surface units per radians by seconds. The d##\Omega## are the solid angles The equation p75 isis what I don't understand. I suppose that each side represent the energy going and out of the surface dS but I don't understand...
  2. Paulpaulpa

    Forces acting on a moving crane

    Since ##\vec{F}_{total}.\vec{e}_y = 0##, we have $$\vec{F}_{N} = mg \vec{e}_y$$ $$\vec{F}_{Friction} = - \mu mg \vec{e_x}$$ and $$\vec{F}_{drag} = - C v^2 \vec{e}_x$$ As you did for your answer you then take ##\vec{F}_{total}.\vec{e}_x = 0## adn resolve the equation for ##\mu##.
  3. Paulpaulpa

    Forces acting on a moving crane

    You probably made an error with signs. Remember that ##F_{resistance} \propto - \vec{e_x}## while ##F_{driving} \propto \vec{e_x}##.
  4. Paulpaulpa

    Spacetime translations and general Lagrangian density for Field Theory

    Thank you very much this is much more clear. I always noted total derivative ##d \mathcal{L}## so the ##\partial _{\nu}\mathcal{L}## confused me a lot. Your explanation of Noether's Current is more understandable than the one in my lecture.
  5. Paulpaulpa

    Spacetime translations and general Lagrangian density for Field Theory

    Thanks for you answer. The first term is zero because of the equation of motion and the fact that ##\partial_\mu \left(\frac{\partial\mathcal{L}}{\partial(\partial_\mu\phi)}\right) = 0 ## since ##\mathcal{L}## do not depend on x. Is that right ? But why is ##\partial_\mu \mathcal{L}## different...
  6. Paulpaulpa

    Spacetime translations and general Lagrangian density for Field Theory

    In Sydney Coleman Lectures on Quantum field Theory (p48), he finds : $$D\mathcal{L} = e^{\mu} \partial _{\mu} \mathcal{L}$$ My calulation, with ##\phi## my field and the variation of the field under space time tranlation ##D\phi = e^{\mu} \frac{\partial \phi}{\partial x^{\mu}}## ...
  7. Paulpaulpa

    What is the Journey to Becoming a Theoretical Physics PhD Candidate Like?

    Hello guys, I am a 22 years old french physics student. I am doing a master in Theoretical Physics and want to have a PHD. I love fundamental physics and this is what I want to do for the rest of my life. Because I am an idiot, I never really studied hard or listened during lecture so I have a...
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