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3 Jul 2024: Considersmall, sinusoidal perturbations to the edge of the gyre r = a η(θ,t), where η =ϵexp(ikθ σt) and ϵ ka.

30 Aug 2019: Prove that. D(ρ,σ) = max06M6I. Tr(M(ρ σ)). (1). (ii) To any POVM {Ea}ka=1, with Ea B(H), where H Cd, one can associate ameasurement map Φ

17 Jun 2019: cosh kx cosh ka),. where k is a constant such thatlk = 2 sinh ka. ... Let K denote the 2n2n matrix with n copies of J1 on the diagonal,and zeros elsewhere, and suppose that KA = AK.

17 Jun 2019: Let. KA = {X Mnn(R) | [A, X] = 0}LA = {[A, X] | X Mnn(R)}. ... Show that KA and LA are linear subspaces of Mnn(R). If A and B are similar, showthat KA = KB and LA = LB.

17 Jun 2019: E =1. 2(E0 E1 4 A cos ka). 1. 2. (E0 E1)2 16 A2 cos2 ka.

26 Nov 2019:  Gavin Ka Chun Cheung (High Energy Physics).  Antonio Girão (DPMMS).

17 Jun 2019: tanh (κa). κa=. tan (ka δ0). ka. where κ2 = γ2 k2.

20 Jul 2021: 1. ktan. ka. 2= 1. ltanh. la. 2. where. k =. 2mE. 2> 0 and l =. 2m(U0 E). 2> 0. (ii) Suppose that initially U0 = 0 and the particle is in

17 Jun 2019: as. ka;b = 0. for a certain covector field ka, which you should define.

17 Jun 2019: By considering the s-wave solution to the Schrödinger equation,. show thattan(ka δ0). ... ka=. tanh(. γ2 k2a). γ2 k2a. For low momenta, ka 1, compute the s-wave contribution to the total cross-section.Comment on the physical interpretation of your