Recent content by Cathr

  1. Cathr

    What would be the impact of the discovery of the Graviton in the world?

    Summary:: <mentor moved to general discussion> I mean of the discovery of the Graviton or of any other unification theory that would explain gravity and would be compatible with quantum mechanics. And by impact I don't necessarily mean just the understanding of the world - this is implicit -...
  2. Cathr

    I On Hubble's constant, the expansion of the Universe and vacuum energy

    The universe expansion is not constant, it is actually accelerating. So there is no constant value of the Hubble constant, and it's rate of change is not known neither. A lot more data is needed. Yes. Actually, when making his theory of general relativity, Einstein had to introduce a...
  3. Cathr

    I On Hubble's constant, the expansion of the Universe and vacuum energy

    Recently I was thinking about the Hubble's constant (which, actually, is not Hubble's and not constant...) and wondering: if the universe is expanding at 70 km/s each Mpc, then there's possible to calculate some expansion of space, say from me to a person 1 meter away from me (theoretically)...
  4. Cathr

    I How to derive a symmetric tensor?

    I apologize, the formula is actually ##Q_{ij}= \frac{m}{2} \dot x_i \dot x_j + \frac{k}{2} x_i x_j## .
  5. Cathr

    I How to derive a symmetric tensor?

    Let ##Q_ik## be a symetric tensor, so that ##Q_ik= \frac{m}{2} \dot x_i \dot x_j + \frac{k}{2} x_i x_j## (here k is also a sub, couldn't do it better with LaTeX). How do we derive such a tensor, with respect to time? And what could such a tensor mean in a physical sense? It really looks like the...
  6. Cathr

    Accoustic waves notions (propagation in a tube)

    Thank you! I found a solution, and, if you don't mind, I have a question that is rather out of personal interest. How can I calculate the amplitude of a sound wave that gets out of the tube, comparing to the one that enters? Direct application: Suppose I don't like the sound intensity of my...
  7. Cathr

    Thermodynamics state equations

    Then dS is zero, so I guess it would be the same to write partial derivatives as dT/dE, but I guess you were looking for another answer. I don't really know.
  8. Cathr

    Accoustic waves notions (propagation in a tube)

    Please help me with this problem I am facing, I am lacking notions of acoustics and I would be very grateful if someone could clarify them: A tube has a revolution symmetry arounf the ##x## axis and has a section dependent of the value of the abscissa (x), so the profile ##S(x)## is known. The...
  9. Cathr

    Thermodynamics state equations

    I see, but why is it dU=TdS+AdE and not -AdE, like in -pdV? For dF, dH, dG I get the right answers, thank you! I think dS(T, E)=(dS/dT)dT+(dS/dE)dE.
  10. Cathr

    I Finding the Fresnel coefficients from interface conditions

    I already found a solution, thank you! I might as well delete the thread. But, if you don't mind, please look at my other post on thermodynamics. I have an exam tomorrow and I would be really grateful if someone could help!
  11. Cathr

    Thermodynamics state equations

    Homework Statement I am always confused about how to correctly write the functions U, H, F, G when they're not depending on the usual variables p, V, T, S - same question for Q and W. For example, we have to calculate the temperature variation of a small surface of water when we isentropically...
  12. Cathr

    Finding Fresnel coefficients from the interface conditions

    Homework Statement We have an incident electric field, and there are two cases: 1) the field is polasised perpendicularly to the incidence plane (TE) 2) polarised in the plane (TM) Here I must be able to correctly apply the limit conditions, to find the Fresnel formulas that give the...
  13. Cathr

    I Finding the Fresnel coefficients from interface conditions

    I'm studying for an exam (so this is existential) and I never really got how to write the limit conditions for an interface. In my problem, there is an incident electric field, and there are two cases: 1) the field is polasised perpendicularly to the incidence plane (TE) 2) polarised in the...
  14. Cathr

    I Is the Equation for Integrating an Exact Differential Correct?

    Thank you! Now it's crystal clear :)
  15. Cathr

    I Is the Equation for Integrating an Exact Differential Correct?

    I see. I think the problem is I don't really understand what we do with the ##\frac {\partial f}{\partial y}dy## part when we integrate with respect to x. Even if it is a dy differential, it still depends of x, but we say it's a constant. I guess the right way to do it is to ignore the dy part...
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