Search

2 Aug 2018: Chern number can be obtained by tomography of Bloch statesTwo-band model: |uk (t)〉 = sin(θk/2)|A, k〉 cos(θk/2) exp(iφk )|B, k〉. ... N. Fläschner, B. S. Rem, M. Tarnowski,. D. Vogel, D.-S. Lühmann, K.

1 Nov 2018: CA =. 0. B@cos sin 0sin cos 0. 0 0 1. ... X cos Y sin. Again, U () must act on X this way if it is indeed to correspond to arotation.

13 Dec 2018: A cos nθ B sin nθ n 6= 0(2.22). Returning to (2.18),. ... Hence, we obtain possible solutions to (2.17) as. Φ = RΘ =. . (C D ln r)(A Bθ) n = 0. (Crn Drn)(A cos nθ B sin nθ) n 6=

13 Dec 2018: Example: if a and b are vectors then a. b is a scalar. ... b/|a| |b| = cos θ is a scalar, so that the angle between vectors is unaffected by a changeof frame.

28 Nov 2018: A group (G, ,e) is abelian2 if for all a,b G we have a b = b a. ... f ′(f(z)) =a′(azbczd) b. ′. c′(azbczd) d′. =a′(az b) b′(cz d).

8 Jan 2018: 53. K43. Observe that. f(h) f(0)h. = |hsinh4| |h| 0. as h 0.If x 6= 0, then f ′(x) = 2xsinx4 4x2 cos x4. ... K87. Very similar to K86. To obtain the formula for un, observe that2 cos2 φ = 1 cos 2φ and cos(π/4) = 21/2.

29 Apr 2018: Ceci prouve que A A, A Y σ(L). De même, B B, X B σ(L). ... Il suffit de prouver que 1I Vect (en, n Z).On écrit I = [ch,c h] et on pose :. ϕ : t [a,b] 7 12 [cos (ω(t c)) cos(ωh)].

13 Mar 2018: divv = (ux vy) (3). curlv = (uy vx) (4). (defv) cos 2µ = (ux vy) (5). ... Z0(56). curlv = 23 (qU1 pU2). Z0(57). (defv) cos 2µ =(pU1 qU2).

13 Mar 2018: Input. v2. u2. θ2. Online Update. P1. P2. Manifold Learning. θΣby cos i. ... b) the low-dimensional manifoldrepresentation allows matching that is both time and memoryefficient.

13 Mar 2018: divv = (ux vy) (3). curlv = (uy vx) (4). (defv) cos 2µ = (ux vy) (5). ... Z0(56). curlv = 23 (qU1 pU2). Z0(57). (defv) cos 2µ =(pU1 qU2).