Recent content by AdeBlackRune

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    Four-spin interactions the Ising model

    Homework Statement Let us consider a fully connected Ising model with four-spin interaction in a transverse field Write the mean field Hamiltonian. Homework Equations none The Attempt at a Solution I know that the mean value of the product of two spins is equal, in the thermodynamic limit...
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    Plane waves and sites distance in a lattice

    Thanks! So such a defect introduce a non zero reflection amplitude and unlukily it is not the answer i hoped to hear :( The real problem I'm trying to resolve is to physically justify the introduction of a global phase factor in the S-matrix. I hoped that such a defect could help me but, as you...
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    Plane waves and sites distance in a lattice

    no one has a little suggestion ç_ç?
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    Plane waves and sites distance in a lattice

    Hi, i would ask you an opinion about a (maybe stupid) doubt. Let us think of a 1D lattice whose sites distant from each other "a"; a plane wave in the lattice is given by e^{ikja} where k is the momentum and j an integer label for each site. Now, we modify the lattice in this way: between...
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    Complex integral coming from a 1loop diagram

    Hi, i'm studing the divergent/convergent behavior of some feynman diagrams that emerge from the study of luttinger liquid. One of this diagrams has a loop inside it and loop-integrals has the following form: \int_{-\Lambda}^{+\Lambda}dQ\int...
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    Density-density interaction in Luttinger liquids

    Hi, I'm reading ad article of Lal et al (junction of several weakly interaction quantum wires: a renormalization group study). It's quite cleare but there are some row I'm not good to understand. Could someone help me to understand how obtain equation (6) from equation (4)? I don't know how to...
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    Probability amplitude in Heisenberg e Schrodinger pictures

    Hi, this is my question: suppose that at time t' our system is in the state | \psi(t')\rangle The probability for the system to be in the state | \phi\rangle at the time t'' is the norm of \langle \phi| \psi(t'')\rangle This in the Schrodinger picture. But how i can write the same thing in...
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    Riemann tensor: indipendent components

    I suppose that raising or lowering indices leaves unchanged the number of indipendent components, but i was not able to find a confirm of that. I thought that, given the metric tensor, the Rikml are (linear?) functions of the Rrkml component. So, can 20 indipendent quantities generate more than...
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    Riemann tensor: indipendent components

    Hi, thanks for the attention and excuse for my bad english. I'm studying general relativity and I have a doubt about the number of indipendent component of the riemann curvature tensor. We have two kind of riemann tensor: type (3,1) Rikml type (4,0) Rrkml There are also some symmetry...
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