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12 Jul 2023: Compute PHintP and use it to derive. 〈[Hint,n. a. φa(ka)]〉 = 2 Re〈Hintn. ... a. φa(ka)〉. (ii) Then, use the in-in formalism to derive a time integral expression for 〈na φa(ka)〉to linear order in λ.

7 Jul 2023: You may assume that thetransforms are well-defined.]. (c) Express the inverse transforms of cos ka and sin ka in terms of the δ-function,where a is a positive constant.

12 Jul 2023: i) Assuming r = r+ is a Killing horizon of. ka =. (. v. )a,. determine the Hawking temperature TH of the Schwarzschild-AdS black hole.

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.

12 Jul 2023: iii) State Killing’s equation. Show that if Ka is a Killing vector, then Ja = TabKb.

7 Jul 2023: You may assume that thetransforms are well-defined.]. (c) Express the inverse transforms of cos ka and sin ka in terms of the δ-function,where a is a positive constant.

4 Jul 2024: MATHEMATICAL TRIPOS Part II 2024. List of Courses. Algebraic Geometry. Algebraic Topology. Analysis of Functions. Applications of Quantum Mechanics. Applied Probability. Asymptotic Methods. Automata and Formal Languages. Classical Dynamics. Coding

7 Jul 2023: z-directions.For scattering at fixed energy E = 2k2/2m with ka 1, find the smallest non-zero valueof the scattering angle θ for which the scattering amplitude has a strong

7 Jul 2023: z-directions.For scattering at fixed energy E = 2k2/2m with ka 1, find the smallest non-zero valueof the scattering angle θ for which the scattering amplitude has a strong