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  2. Tale 56 Frobenius’ Numbers and Quantum Mechanics Numbers We ...

    www.tcm.phy.cam.ac.uk/~dek12/tales/Tale-56.pdf
    9 Nov 2014: form a group operation. This means that:. 1. a b = b a. ... 4. All numbers obey the associativeness law:(a b) c = a (b c).
  3. tp1_14_paper_combined_v4.dvi

    www.tcm.phy.cam.ac.uk/~cc726/TP1/ExamFiles/exam14.pdf
    18 Jan 2014: a uniform static magneticfield perpendicular to the plane, B = Bẑ (E > 0, B > 0). ... 6]. (b) Compute the behaviour of the zero-field magnetic susceptibilityχ = (φ/B)|B=0 close to the transition (both above and below).
  4. tp1_14_ans_combined_v4.dvi

    www.tcm.phy.cam.ac.uk/~cc726/TP1/ExamFiles/exam14sol.pdf
    18 Jan 2014: 2aχ 6m2χ = 1. where χ = m/B|B=0. Above the transition (a > 0), m(B = 0) = 0 andχ = 1/2a. ... Below the transition (a < 0), m(B = 0) =. a and χ = 1/4a.

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