Recent content by camipol89

  1. camipol89

    Are Thermal States Always Mixed States?

    ρ→1 and we get a pure state, is that correct? So there are pure thermal state, they are just thermal state at an (ideal) zero temperature? If I am right, do such pure thermal states exist in nature? Thanks a lot for your help!
  2. camipol89

    Are Thermal States Always Mixed States?

    Hey guys, I was reading about thermal states and now I have a doubt: is a thermal state always a mixed state with density matrix ρ=exp(-βH)/Tr(exp(-βH)), or is there also a pure thermal state? Thank you
  3. camipol89

    Particle falling into a black hole singularity within a finite proper time

    I thought about it but I'm not sure wether should I use schwarzschild coordinates nor kruskal coordinate,since I'm supposed to be in a regon with r<2M. The proper time for the obsverver is,I think, d/dτ= [(2M/r) − 1]^-1/2. The thing is is,when I try to write down the explicit expression for...
  4. camipol89

    Particle falling into a black hole singularity within a finite proper time

    Hello, Can anyone help me with that? It's a problem taken from Wald book on General Relativity,in the section of Schwarzschild solution Thanks Show that any particle (not necessarily in geodesic motion) in region II (r < 2M ) of the extended Schwarzschild spacetime, Figure 6.9, must...
  5. camipol89

    Proving Constant Curvature in n-Dimensional Manifold

    Sorry if you have to click on the image to actually see it but I don't know how to write the riemann tensor in Latex code...
  6. camipol89

    Proving Constant Curvature in n-Dimensional Manifold

    Hello everybody, How do you prove that,given an n-dimensional manifold with constant curvature , i.e. the constant K is given by : K= R/n(n-1) (R denotes the scalar curvature)? I tried to contract the Riemann tensor in the expression above to obtain on the left side the scalar...
  7. camipol89

    Difference between theoretical astrophysics and theoretical physics

    Is there a difference between theoretical astrophysics and theoretical physics applied to astrophysics? Thanks
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