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10 Oct 2012: 24 CHAPTER 2. SECOND QUANTISATION. Our aim is to find an operator V̂ in second quantised form whose action on a many-bodystate gives. ... 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

28 Jan 2012: welding parameters [44]. 24. Fig 2.16 several examples of external discontinuities in RSW [44]. ... 820 483 660 30 40. 840 486 665 30 39. 860 470 640 24 34.

11 Jun 2012: X-ray diffraction was used to determine the phasefractions, using Cu Ka irradiation at 40 kV and 40 mA.The sample was scanned over the 2h range 30–150u andthe fractions ... of ferrite and austenite were calculatedusing Rietveld analysis23,24 with the

17 Jan 2012: The microstructures of the weld nuggets are given inFig. 7 for cases where the current was 0?5 kA less thanImax. ... Table 4 Joint properties for commercial and investigated alloys. Carbon/wt-%Thickness/mm. Minimum weldcurrent/kA.

1 Aug 2012: Core RFPNelements included superior parietal and lateral prefrontal areas,consistent with prior work (24). ... Neuroimage 53:303–317. 24. Vincent JL, Kahn I, Snyder AZ, Raichle ME, Buckner RL (2008) Evidence for a fronto-parietal control system

22 Nov 2012: infected with Wolbachia [24,25], while Culex quinquefasciatus and. Mansonia uniformis were infected [24]. ... Culex quinquefasciatus 24 10 42 (22–63). Mansonia uniformis 19 5 26 (9–51).

30 Aug 2012: tm rm tps rps te reKau’ai Waimea Canyon basalt 5.13 0.06 4.24 0.09 5.02 0.19. ... Drosophila and Sophophora to 32 (24–40) Ma (table 3). In thesame analysis, we find the MRCA of D.

19 Jan 2012: to enhance their spread through populations. Rickettsiain whiteflies act both to directly increase host fitnessand distort the sex ratio towards the production offemale offspring [24]. ... 50. Baldo L, Dunning Hotopp JC, Jolley KA, Bordenstein SR, Biber

8 Mar 2012: 4 QUANTUM SCATTERING IN 3D 24. where δl is a function of k. ... γl =κaj′l(κa). jl(κa). (4.1.2.2). As k 0 have γl const, jl(ka) (ka)l, nl(ka) (ka)(l1) and, as before, getδl (ka)2l1.

10 May 2012: 24. 2.2 Inverse scattering transform for KdV. 252.2.1 Direct scattering. 272.2.2 Properties of the scattering data. ... dx. 24. Figure 2.1: Sine–Gordon Kink. Kink. x. Note that the Sine–Gordon equations didn’t enter the discussion at this stage.

27 Jul 2012: the various coefficients appearing in (3.24), (3.25) depend on the dimensionless couplingsgi. ... Thus we find. 2χei = Yi Ui iβjUj 12 (Vij Sij )βj θai ka. =

2 Sep 2012: T̂ = N̂. 24. The curvature is the rate of rotation of T̂ about B̂, and. ... Comparison of Eqs. 21–24 reveals that2 =1. 2 22 and 3 = , where is the angle between.

2 Sep 2012: solution to (24) subject to the boundary conditions is(Carslaw and Jaeger, 1959). ... computations. Fig. 2. The radial distribution function R0(r) for the parameter valuesP 1, N 8 , and Q 24.

2 Sep 2012: Kachar & Reese 1989; Lichtscheidl & Balu ka 2000).Nevertheless, ‘relatively little is known about the biogene-sis, dynamics, maintenance, and inheritance of the organelleitself’ (Powell & Latterich 2000). ... al. 1999); and (v) thatthe actin

2 Sep 2012: Phys Rev Lett103:1981103. 15. Guasto JS, Johnson KA, Gollub JP (2010) Oscillatory flows induced by microorganismsswimming in two dimensions. ... Phys Rev Lett 105:188101. 24. Oliver JK, Willis BL (1987) Coral-spawn slicks in the great barrier reef:

2 Sep 2012: We obtain ‘p 103 m, a value consistentwith the known range [13,14,24]. ... J. Hinch, J. Fluid Mech. 75,765 (1976). [24] H. Isambert et al., J.

2 Sep 2012: 1B), where η is the viscosity, and the distance betweenthe forces (24, 25). ... 38. Guasto JS, Johnson KA, Gollub JP (2010) Oscillatory flows induced by microorganismsswimming in two dimensions.

19 Jan 2012: We obtain ‘p 103 m, a value consistentwith the known range [13,14,24]. ... J. Hinch, J. Fluid Mech. 75,765 (1976). [24] H. Isambert et al., J.

5 Sep 2012: 49) , and open 3D bulk suspensions (7, 18,24, 25), bacteria were confined in closed microfluidic chambers to. ... 6. Berg HC (1997) Motile behavior of bacteria. Phys Today 53:24–29.7.

15 Jan 2012: 0.82 kB T) and polar-polar (P-P, 24% of all contacts,21.69 kBT, s.d. ... Biochemistry 24: 1501–1509. 12. Dobson CM (1999) Protein misfolding, evolution and disease.