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17 Jan 2013: Experimental Consequences of the S-wave cos(k. x. ) cos(k. y. ) Superconductivity in the Iron-Pnictides. ... B 78, 144514 (2008). Stability and pairing in quasi-one-dimensional Bose-Fermi mixtures.

5 Mar 2012: βH′[φ<] = Z0> βH0[φ<] d2x g〈cos[λ(φ<(x) φ>(x))]〉> O(g2). (b) Working to first order in g, show that, under the RG transformation, theparameters obey the ... βH′[φ′] =. d2q. (2π)2K(b). 2q′2|φ(q)|2. d2x′ g(b) cos [λ(b)φ′(x′)].

24 Aug 2020: the gauge field as A = 2ih̄〈χ |χ 〉 = h̄ cos θ φ̂/ρ. ... Finally, we compare thepredictions for the gauge field realized by the proposed lasersetup, A = 2h̄ cos θ φ̂/ρ [Figs.

8 Jan 2024: L =1. 2m. [a2η̇2 2al sin(η θ)η̇θ̇ l2θ̇2. ] mg(l cos θ a sin η) 1. ... 2b2k(sin η sin η0)2. [6]. (b) Find the Euler-Lagrange equations of motion.

24 Aug 2020: G. J. CONDUIT AND P. D. HAYNES PHYSICAL REVIEW B 78, 195310 2008. ... DIFFUSION MONTE CARLO STUDY OF A VALLEY-… PHYSICAL REVIEW B 78, 195310 2008.

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. ... aka†k. O(S0),. where k = cos k.Quadratic in the bosonic operators, the Hamiltonian can be again

23 Dec 2020: Online version in colour.). (b). (c). – a2a2 a. x. –1.0–0.5. ... c (x,. y,x). Figure6. (a)Three-,(b)two-and(c)one-dimensionalplotsoftheoscillatorypartoftheelectronclouddensity,ρoscE (x, y, z) =[cos(kx) cos(ky) cos(kz)]/3 with k = 2π/a, for the

21 Oct 2009: B = B0êz B1(êx cos(ωt) êy sin(ωt)). Paramagnetic resonance. This result shows that spin precessionfrequency is independent of spin orientation. ... B = B0êz B1(êx cos(ωt) êy sin(ωt)). Paramagnetic resonance. B = B0êz B1(êx cos(ωt)

4 Apr 2010: r(t) = A cos(ωt) B sin(ωt). Applying the boundary conditions r(0) = 0 and r(t̄) = r̄ we find A = 0 andB = r̄/ sin(ωt̄),. ... cos qd D q2. 2+. Inverting and applying the inverse Fourier transform, we obtain.

21 Oct 2009: i. 2γσ Bt. ]. Therefore, for initial spin configuration,. (αβ. )=. (eiϕ/2 cos(θ/2)eiϕ/2 sin(θ/2). ). With B = Bêz , Û(t) = exp[ i2 γBtσz ], |ψ(t)〉 = Û(t)| ... B = B0êz B1(êx cos(ωt) êy sin(ωt)). Paramagnetic resonance. B =

7 Jan 2019: L =1. 2m(. ρ̇2 ρ2θ̇2). 12kρ2 q. (. Eρ cos θ B. ... A =B. 2. (. ρ sin θ, ρ cos θ, 0).

9 Jun 2004: vxωc. (. ωc =eB. m. ). (X,Y). (x,y). Ẋ =Ey(r,t). BẎ =. Ex(r,t). B. SAW potential: E(r,t) = Eωq cos[qx ωt]̂x. Perturbation theory:. ... ignoring disorder:. x0(t) = X0 Rc cos (ωct ψ) , y0(t) = Y0 Rc sin (ωct ψ).

7 Jan 2019: L =1. 2. [η̇2 2η̇θ̇ cos θ θ̇2. ]g. cos θ 1. ... 2. k. mη2 ,. up to a multiplicative constant. [10]. (b) Find the equations of motion for this system.

7 Jan 2019: b) The canonical momentum conjugate to x is. px =L. ẋ= (m1 m2)ẋ m2lφ̇ cos φ. ... circular motion around the z axis with constantangular velocity. In terms of the z coordinate, the particle undergoes simpleharmonic motion, z(t) = a sin κt b cos κt

24 Oct 2022: x(t) = A cos(ω0t) B sin(ω0t). (11). This form also has two constants,A andB, which we can use to specify the motion of the systemat t = 0. ... which matches the second form of the solution provided. A = a0 cos(φ) B = a0 sin(φ).

8 Jan 2024: x = a cos(η) l sin(θ), z = l cos(θ) a sin(η). ... mg(l cos(θ) a sin(η)) 12b2k(sin(η) sin(η0))2. A. 3. (b) Find the Euler-Lagrange equations of motion.

21 Jan 2018: L =1. 2. [η̇2 2η̇θ̇ cos θ θ̇2. ]g. cos θ 1. ... 2. k. mη2 ,. up to a multiplicative constant. [10]. (b) Find the equations of motion for this system.

7 Jan 2019: 6]An electromagnetic wave is represented by the 4-vector potential. Aµ = (0, A cos(kz ωt), A sin(kz ωt), 0). ... a) Evaluate the electric and magnetic fields. [6]. (b) Evaluate the Lagrangian density.

7 Jan 2019: x/a = θ sin φ (θ φ) cos φ ,y/a = 1 cos φ (θ φ) sin φ. ... A. (TURN OVER for continuation of question 4. 4. (d) By considering a wave solution of the form ϕ = C cos(kxωt) for auniform rod, find the dispersion relation and the

7 Jan 2019: m. (a, ,b ). z. M. (r, ,z). B B. (a) Show that, up to irrelevant constants and ignoring gravity, the Lagrangian forthe system is: [6]. ... 2k(r2 2ar cos(θ θB) (z bθB)2. ). A. (TURN OVER for continuation of question 1.