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8 Apr 2008: Plugging. into the equation we find c = kaa0kbka. for kb 6= ka.

30 Sep 2008: ii) χ(a) = 0 A sin(ka) = 0 ka = nπ where n = 1, 2,. ... Imposing continuity of χ(x) at x = a gives,. A cos(ka) = D exp(κa) (35).

3 Mar 2020: 1.3 Time-independence. Definition. A spacetime is stationary if it admits a Killing vector field ka whichis everywhere timelike: gabk. ... akb < 0. We can choose coordinates as follows. Pick a hypersurface Σ nowhere tangentto ka and introduce

25 Aug 2021: q. kA(eiqa/2 eiqa/2). Notice that only the combination (r t) appears.

26 Jun 2024: H =1. 2a. Z /a. /a. dk. 22 sin(ka) c†. kck. – ... E(k) =1. asin(ka). This gives a dispersion relation of the kind we anticipated above: it has zeros at both.

1 May 2020: Ka|p〉 = 0. (7)The n-th order ‘descendents’ of the primary are defined by acting on theprimary with n momentum operators:.

21 Oct 2020: Thus, with k = t ,. Euler: yn = (I kA)ny0, 1 z = e. ... z O(z 2);. TR: yn =[(. I 12 kA)1 (. I 12 kA)]n.

8 Oct 2004: He found that, provided ka 1, where a is the core radius,σ2 =. ( κ2πh2. )2 [1 khK1(kh) 12(kh). 2ω(akδ)]. [1 khK1(kh) (kh)2K0(kh) ... Classical Crow instability. Crow used the cut-off method to determine the growth rate, σ , of the instability in

26 Oct 2020: Thus,. with k = t,. Euler: yn = (I kA)ny0, 1 z = e.

27 Feb 2018: PHYSICAL REVIEW E 97, 022411 (2018). Microbial mutualism at a distance: The role of geometry in diffusive exchanges. François J. Peaudecerf,1, Freddy Bunbury,2 Vaibhav Bhardwaj,2 Martin A. Bees,3 Alison G. Smith,2. Raymond E. Goldstein,1,† and