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search results for `B b cos` |u:www.tcm.phy.cam.ac.uk
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NATURAL SCIENCES TRIPOS Part III Past questions EXPERIMENTAL AND ...
www.tcm.phy.cam.ac.uk/~bds10/phase/extra_problems.pdf5 Mar 2012: βH′[φ<] = Z0> βH0[φ<] d2x g〈cos[λ(φ<(x) φ>(x))]〉> O(g2). (b) Working to first order in g, show that, under the RG transformation, theparameters obey the ... βH′[φ′] =. d2q. (2π)2K(b). 2q′2|φ(q)|2. d2x′ g(b) cos [λ(b)φ′(x′)]. -
qcmft
www.tcm.phy.cam.ac.uk/~bds10/tp3/secqu.pdf10 Oct 2012: Ĥ = JN S2 B.Z.Xk! ka†kak O(S0) (2.16). where! k = 2JS(1 cos k) = 4JS sin2(k/2) represents the dispersion relation of the spinexcitations. ... aka†k. O(S0),. where k = cos k.Quadratic in the bosonic operators, the Hamiltonian can be again
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