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NATURAL SCIENCES TRIPOS Part II Wednesday 13 January 2016 ...
www.tcm.phy.cam.ac.uk/~cc726/TP1/ExamFiles/exam16sol.pdf20 Jan 2016: 2mṙθ̇ mrθ̈ = ka sin(θ θB). d. dt. L. ṙ=L. ... r= mr̈ = mrθ̇2 kr ka cos(θ θB). d. dt. L. -
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. -
qcmft
www.tcm.phy.cam.ac.uk/~bds10/tp3/ps2.pdf10 Oct 2012: cos ka. ——————————————–. Quantum Condensed Matter Field Theory. -
Lecture I 1 Lecture I: Collective Excitations: From Particles ...
www.tcm.phy.cam.ac.uk/~bds10/tp3/lectures.pdf10 Nov 2013: ka†k. )] O(N. 1/20 ). cf. quantum AF in spin-wave approximation. ... 2. (akak a. †ka†k. )]As with quantum AF, Ĥ diagonalised by Bogoluibov transformation:(. -
phmain
www.tcm.phy.cam.ac.uk/~bds10/phase/topol.pdf4 Apr 2010: The first indication of unusual behaviour in the two-dimensional XY -model (n = 2)appeared in an analysis of the high temperature series expansion by Stanley and Ka-plan (1971). -
16.4. PROBLEM SET IV 216 16.4 Problem Set IV ...
www.tcm.phy.cam.ac.uk/~bds10/aqp/ps4.pdf22 Nov 2009: and verify that the scattering is isotropic when the energy of the incidentparticle or the size of the scatterer is sufficiently low, so that Ka 1.Obtain an expression for the -
lectures
www.tcm.phy.cam.ac.uk/~bds10/aqp/lec2_compressed.pdf21 Oct 2009: κa =. {ka tan(ka) evenka cot(ka) odd. κa =. (2ma2V0! 2 (ka)2. ... leads to the condition,. k [An1 cos(ka) Bn1 sin(ka) An] =2maV0! -
lectures
www.tcm.phy.cam.ac.uk/~bds10/aqp/lec2.pdf12 Oct 2009: κa =. {ka tan(ka) evenka cot(ka) odd. κa =. (2ma2V0! 2 (ka)2. ... leads to the condition,. k [An1 cos(ka) Bn1 sin(ka) An] =2maV0! -
lectures
www.tcm.phy.cam.ac.uk/~bds10/aqp/lec16-17_compressed.pdf17 Nov 2009: eikna = ks (eika eika). 1N. eikna2ks cos(ka). We therefore find that. ... Classical chain: normal modes. ωk = 2. ksm| sin(ka/2)|. At low energies, k 0, (i.e. -
lectures
www.tcm.phy.cam.ac.uk/~bds10/aqp/lec16-17.pdf17 Nov 2009: Substituted into the equations of motion, we obtain. (mω2 2ks ) = 2ks cos(ka). ... ksm| sin(ka/2)|. Classical chain: normal modes. ωk = 2. ksm| sin(ka/2)|.
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