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  2. CHAPTER XI : UNIVERSITY OFFICES AND GRANTS OF TITLE - SPECIAL…

    https://www.reporter.admin.cam.ac.uk/univ/so/2019/chapter11-section3.html
    1 Nov 2019: Statutes and Ordinances of the University of Cambridge. Preceding: Chapter X. Following:CHAPTER XI. pp. 706–778. UNIVERSITY OFFICES AND GRANTS OF TITLE. Previous section:Section 3. SPECIAL REGULATIONS FOR UNIVERSITY OFFICERSpp. 706–778.
  3. 13 Mar 2019: δ(r a). Show that the phase shifts are given by. tan δl = kλa2[jl(ka)]. ... 2. 1 kλa2jl(ka)nl(ka). [Hint: The δ-function leads to two continuity conditions at r = a.
  4. MATHEMATICAL TRIPOS Part III Thursday, 28 May, 2009 1:30 ...

    https://www.maths.cam.ac.uk/postgrad/part-iii/files/pastpapers/2009/Paper7.pdf
    30 Aug 2019: 2. 1 (i) If A > 0 and N is a positive integer, define KA,N : T2 R by. ... and1. (2π)2. T2. KA,N (s, t) ds dt = 1. By considering functions of the form.
  5. MATHEMATICAL TRIPOS Part IB Wednesday, 2 June, 2010 1:30 ...

    https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2010/PaperIB_2.pdf
    17 Jun 2019: c k cot ka = 0. Find the minimum value of V0 for this equation to have a solution. ... Giventhat. 〈x〉 =1. 2k(ka tan ka),. discuss briefly the possibility of 〈x〉 being greater than a.
  6. 4 Solutions of the 1D Schrödinger equation We now ...

    www.qi.damtp.cam.ac.uk/files/Adrian/notespart2.completed.2019.pdf
    6 Nov 2019: or B = 0 , cos(ka) = 0 ,. ψ(x) = A cos(kx) , k =nπ. ... C cos(la) = A exp(ka) , (4.40)lC sin(la) = kA exp(ka).
  7. 10. Scattering Theory The basic idea behind scattering theory ...

    www.damtp.cam.ac.uk/user/tong/aqm/aqmten.pdf
    19 Jul 2019: q. kA(eiqa/2 eiqa/2). Notice that only the combination (r t) appears.
  8. MATHEMATICAL TRIPOS Part III Thursday 31 May 2007 1.30 ...

    https://www.maths.cam.ac.uk/postgrad/part-iii/files/pastpapers/2007/Paper61.pdf
    30 Aug 2019: Show that a Killing covector ka satisfies. ka;bc = Rabcdkd. A spacetime is said to be static if it possesses a timelike Killing covector ka whichis hypersurface-orthogonal. ... with ρ p > 0 then the fluid 4-velocity ua is parallel to ka. [
  9. MATHEMATICAL TRIPOS Part II Monday 5 June 2006 9 ...

    https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2006/PaperII_1.pdf
    17 Jun 2019: Let. Q(k) = aR′ (a)R(a). kaj′ (ka)j(ka). Obtain the relation. tan δ =Q(k)j2(ka)ka. ... Q(k)n(ka)j(ka)ka 1. Suppose thattan δ. γ. k0 k,. for some , with all other δ small for k k0.
  10. Shouting at a Staircase: - Acoustic Scattering off a Plane with a Step

    www.damtp.cam.ac.uk/user/mga38/DynamicsVibration.pdf
    10 May 2019: 4 / 23. Motivation. I Further simplify by assuming wavelength of wave is very largecompared to width of constraint (a/λ 1 = ka 1). ... 12 / 23. Strategy. I Key assumption: ka 1; i.e. small stepI Presence of two distinct length scales (a and 1/k) implies.
  11. 6 Mar 2019: 4 / 19. Motivation. I Further simplify by assuming wavelength of wave is very largecompared to width of constraint (a/λ 1 = ka 1). ... I Key assumption: ka 1; i.e. small stepI Presence of two distinct length scales (a and 1/k) implies.

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