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MATHEMATICAL TRIPOS Part II Tuesday, 31 May, 2016 1:30 ...
https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2016/paperii_2.pdf17 Jun 2019: If ka is the tangent vector to the trajectory of a photon and ua is the four-velocity ofa comoving observer (i.e., an observer at rest in the -
MATHEMATICAL TRIPOS Part II Tuesday, 2 June, 2015 1:30 ...
https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2015/PaperII_2.pdf17 Jun 2019: tanh (κa). κa=. tan (ka δ0). ka. where κ2 = γ2 k2. -
MATHEMATICAL TRIPOS Part II Thursday, 7 June, 2018 9:00 ...
https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2018/paperii_3_2018.pdf17 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 -
MATHEMATICAL TRIPOS Part II Thursday, 7 June, 2012 1:30 ...
https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2012/PaperII_3.pdf17 Jun 2019: E = E0 α 2Acos ka. Using the fact that ψ0(x) is a parity eigenstate show that. ( -
MATHEMATICAL TRIPOS Part II Thursday, 4 June, 2015 9:00 ...
https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2015/PaperII_3.pdf17 Jun 2019: as. ka;b = 0. for a certain covector field ka, which you should define. -
MATHEMATICAL TRIPOS Part II Thursday, 3 June, 2010 1:30 ...
https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2010/PaperII_3.pdf17 Jun 2019: E =1. 2(E0 E1 4 A cos ka). 1. 2. (E0 E1)2 16 A2 cos2 ka. -
MATHEMATICAL TRIPOS Part II Thursday 9 June 2005 1.30 ...
https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2005/PaperII_3.pdf17 Jun 2019: µx ik[σ3,µ] Qµ = 0,. andµt 2ik2[σ3,µ] (kA B)µ = 0. -
MATHEMATICAL TRIPOS Part II Monday, 6 June, 2011 9:00 ...
https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2011/PaperII_1.pdf17 Jun 2019: ka = π α iγ. where, to leading order in 1/(U0a),. -
MATHEMATICAL TRIPOS Part II Monday, 5 June, 2017 1:30 ...
https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2017/paperii_1_2.pdf17 Jun 2019: E(k) = E0 2J cos(ka). Define the Brillouin zone. Determine the number of states in the Brillouin zone. -
MATHEMATICAL TRIPOS Part II Monday, 3 June, 2013 9:00 ...
https://www.maths.cam.ac.uk/undergrad/pastpapers/files/2013/PaperII_1.pdf17 Jun 2019: Deduce that, whateverparametrization ν is used along the curve γ, the tangent vector Ka to γ satisfies. (
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