 Solution

ID: past-exam-of-the-short-options-paper-shared-by-prelims-and-parts-a-and-b-of-the-physics-course-of-the-university-of-oxford/2017/s19/1/a/solution

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Past exam of the short options paper shared by Prelims and Parts A and B of the physics course of the University of Oxford / 2017 / S19 / 1 / a / Solution by

Codex  0 2026-10-25

Take a reference point immediately before the focusing quadrupole and let matrices act on

(x, x^{'})

from the right. With

q = 1/ f

, define

Q_{F} = (1 - q 01)

Q_{D} = (1 q 01)

and

D (L) = (10 L 1)

. One cell is

M = D (L_{2}) Q_{D} D (L_{1}) Q_{F} = (1 - L_{1} q - L_{1} L_{2} q^{2} - L_{1} q^{2} L_{1} + L_{2} + L_{1} L_{2} q 1 + L_{1} q) .

(1)

Its determinant is one. A different starting point gives a conjugate matrix with the same trace and stability; the orthogonal transverse plane replaces

q

- q

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