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10 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.

10 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:(.

21 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!

25 Jan 2021: 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).

8 Oct 2009: Thefigure (right) compares κa = ( 2mV0a. 2! 2 (ka)2)1/2 with ka tan(ka) for the even. ... Bn1 =2maV0! 2k Bn sin(ka) Bn cos(ka) An sin(ka). Advanced Quantum Physics.

22 Jan 2024: Department of PhysicsUniversity of Cambridge. Part II Physics. T H E O R E T I C A L P H Y S I C S I I. T O P I C S I N Q U A N T U M T H E O R Y. R.-J. Slager and G. ChaudharyLent 2024. Contents. 1 Quantum Dynamics 7. 2 Introduction to path

9 Nov 2009: Substitution confirms that this is a solution with energies(exercise),. Ek =ε 2t cos(ka)1 S cos(ka).

24 Aug 2020: δcont (k) ={. arctan(ka), = 0,0, > 0,. is the scattering phase shift in the angular momentum channel. ... RcontE,=0(r) =sin[kr δ0(k)]. kr,. where δ0(k) = arctan(ka) and k =. E. The continuityequations at the cutoff are. p(rc) = ln{. sin[krc δ0(k)]rc.

23 Dec 2020: Math. Mech. Solids 13, 199–220. (doi:10.1177/. 1081286507086898)3. Grimvall G, Magyari-Köpe B, Ozoliņš V, Persson KA.

24 Oct 2022: LagrangianDynamics. Engineering Part IBPaper 1. Lectures 9-16. J. S. Biggins. Engineering Department. University of Cambridge. Lent 2022. CONTENTS CONTENTS. Contents. 1 Course Details vi. 1.1 Synopsis. vi. 1.2 Practicalities. vii. 2 Generalized