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www.tcm.phy.cam.ac.uk/~bds10/aqp/lec15_compressed.pdf9 Nov 2009: For N lattice sites and periodic boundary condition, αnN = αn,solution given by αn =. 1N. eikna,. E = Ek =ε 2t cos(ka)1 S cos(ka). i.e. -
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/lec15.pdf9 Nov 2009: For N lattice sites and periodic boundary condition, αnN = αn,solution given by αn =. 1N. eikna,. E = Ek =ε 2t cos(ka)1 S cos(ka). i.e.
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