Recent content by Clau

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    How do I expand this difficult equation?

    Thanks a bunch. Duh... I feel pretty stupid now. That is what I get for working long nights :) Cheers
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    How do I expand this difficult equation?

    I have the following polynomial equation: p = \frac{8x + 16xw + 8xw^2 - 3w^3}{2 + 7w + 8w^2 + 3w^3} The next step is to let x=0 and expand p in powers of w. The result is p = -(3/2)w^3 +... Someone knows how to make this expansion? I don't understand where this first term comes from.
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    Liouville's Theorem: Sketching Rectangle Motion in px-x Plane

    Thank you, guys! So, I'm using the following equations: \dot{x}=\frac{dH(x,p_{x})}{dp_{x}} = \frac{p_{x}}{m} \dot{p}_{x}=-\frac{dH(x,p_{x})}{dx} = F Now I thinking to substitute inside these equations the points of the corners. (0,0), (A,0), (A,B) and (0,B). For instance: (0,0) \dot{x}=0...
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    Solving for Virial Coefficients: Find B2 & B3

    I solve the problem this way... Solving to P: P=NkT/(V-Nv_{0}) - aN^2/(kTV^2) The compressibility is: Z=PV/NkT Multilplying both sides by V and divide by NkT: Z=PV/NkT=1/(1-Nv_{0}/V) - aN/(k^2T^2V) For very low density Nv_{0}/V << 1 Using approximation: 1/(1-x) ~ 1+x Z= 1 + Nv_{0}/V -...
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    Solving for Virial Coefficients: Find B2 & B3

    Homework Statement A gas obeys the equation of state (P + \frac{a}{kTv^2})(v-v_{0})=kT. Where a and v0 are constants and v=V/N is the volume per particle. Find the second and third virial coefficients for this equation of state. Homework Equations B_{2}=V( 1/2 - Q_{2}/Q_{1}^2...
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    Jackson Electrodynamics problem 9.8a

    Look at this link: http://www-personal.umich.edu/~pran/jackson/P506/hw04a.pdf
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    Liouville's Theorem: Sketching Rectangle Motion in px-x Plane

    Homework Statement According to Liouville's theorem, the motion of phase-space points defined by Hamilton's equations conserves phase-space volume. The Hamiltonian for a single particle in one dimension, subjected to a constant force F, is H(x,p_{x}) = \frac{p_{x}^2}{2.m} - F.x Consider the...
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    Graduate Is Bose-Einstein Condensation Possible in Two Dimensions?

    Is it possible to have Bose-Einstein condensation in two dimensions? Why?
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    Graduate Maxwell-Boltzmann, Fermi-Dirac and Bose-Einstein.

    If we have indistinguishable particles, we must use Fermi-Dirac statistics. To Identical and indistinguishable particles, we use Bose-Einstein statistics. And, to distinguishable classical particles we use Maxwell-Boltzmann statistics. I have a system of identical but distinguishable...