Recent content by Suske

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    Two-site Hubbard model eigenstate-problem

    First of all, Thanks a lot for your help! I know understand the product of states. I also am familiar with the Dirac-notation. I also know how to find the eigenvectors of a matrix (eigenvalues first, then solve for matrix - eigenvalue*I = 0 ) The only thing is that I don't know how to put...
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    Two-site Hubbard model eigenstate-problem

    Homework Statement L.S., I'm breaking my head over this problem! To anyone who can help me out: thanks a lot! Consider a two-point grid (point a en point b) and two electrons occupying those points, (they can both occupy one point at the same time), both wit spin-up or spin-down. Now, they...
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    Contribution of one fermion to entropy of one-particle state

    Homework Statement Hello, I'm studying for my final exam on statistical physics, and I found an exercise of which I think it is really easy but I'm unsure of how to do it! So now I wonder if I actually don't understand what I'm doing at all! The question is as follows: Calculate for...
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    Quantum statistics: density of states problem

    Thank you very much, I got the answer completely right! this is great
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    Quantum statistics: density of states problem

    Thanks again! Oke. Only positive integers are allowed for nx, ny, nz Therefor, the surface of the paraboloid (right?) is four times 'too much' so for a certain E, the amount of states (nx, ny, nz) equals 1/4 \int\int sqrt (1+(4(a/b)^2)*r^2) r d \Theta dr I put it in polar...
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    Quantum statistics: density of states problem

    Thank you very much! So then I put V(z,t) = is (1/2)kz^2, Which gives me Ezn = (h/2pi)&sqrt(k/m)*(n + 0.5)? And can I then transform that into (h^2)(k^2)*(n+0.5)/(2m)? <-- this is probably wrong? Usually with just a particle in a LxLxL box I can 'count' the number of states with a...
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    Quantum statistics: density of states problem

    When you consider a electron L×L×L box, I think I understand how to derive the DOS-spectrum. Unfortunately, when a small change is made to the problem, I really don't understand what to do, so I probably don't understand the theory at all.. This is the question: Homework Statement Consider a...
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