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GRG Part III, M 2019 Percolation and related topics ...
www.statslab.cam.ac.uk/~grg/teaching/perc19-1.pdf22 Oct 2019: http://www.statslab.cam.ac.uk/grg/teaching/perc19.html. This set of exercises is extracted mostly from Chapters 3 and 4.Handout for 24 October. -
ON INFLUENCE AND COMPROMISEIN TWO-TIER VOTING SYSTEMS GEOFFREY R. ...
www.statslab.cam.ac.uk/~grg/papers/JC-inf7.pdf22 May 2019: way.”. Appendix A. Circular voting. In Definition 2.1, condition (ii) is weaker than requiring that X be exchangeable(see [24, p. ... Motivated by the localcentral limit theorem for non-identically distributed random variables (see [24, p. -
Discrete Mathematics 343 (2020) 111638 Contents lists available at ...
www.statslab.cam.ac.uk/~grg/papers/cubic-published.pdf5 Dec 2019: This question has arisen within the study by the current authors of the properties of connective constants of transitivegraphs, see [24] and the references therein. -
Sex-rated statistics David Spiegelhalter’s new book explores human…
www.statslab.cam.ac.uk/~david/Spiegelhalter-SexByNumbers-signif-proof.pdf29 Mar 2019: One in five 16–24-year-old women reported a sexual experience with another woman, greatly increased from 1990. -
Part IIC (January 2019 version) Lent term 2019 QUANTUM ...
www.qi.damtp.cam.ac.uk/files/PartIIIQC/Part%202%20QIC%20lecturenotes.pdf4 Sep 2019: Part IIC (January 2019 version) Lent term 2019. QUANTUM INFORMATION. AND COMPUTATION. Lecture notesRichard Jozsa, DAMTP Cambridge. rj310@cam.ac.uk. CONTENTS1 Introduction: why quantum computation and information? 32 Principles of quantum mechanics -
7 The 3D Schrödinger equation 7.1 Quantum mechanics in ...
www.qi.damtp.cam.ac.uk/files/Adrian/notespart5.2019.pdf20 Nov 2019: 2M(d2ψ. dr2+. 2. r. dψ. dr) e. 2. 4π0rψ(r) = Eψ(r) , (7.24). ... polynomials.24. The corresponding wavefunctions are ψ(r) = CL1N1(2br) exp(br), where theconstant C is determined by normalisation. -
6 The basic formalism of quantum mechanics 6.1 Spaces ...
www.qi.damtp.cam.ac.uk/files/Adrian/notespart4.completed.2019.pdf1 Dec 2019: ψ, ABψ)|2 = 14(|(ψ, {A, B}ψ)|2 |(ψ, [A, B]ψ)|2). (6.26). Combining (6.24) and (6.26), we have that. ( ... Hence. (x̂ x̂ψ)ψ = ia(p̂ p̂ψ)ψ ,. which means we have equality in the Schwarz’s inequality (6.24) used to derive(6.28). -
5 Tunnelling and Scattering Let us reconsider the bound ...
www.qi.damtp.cam.ac.uk/files/Adrian/notespart3.completed.2019.pdf12 Nov 2019: FI =km. (5.24). FR =km. |R|2 = km. (k lk l. -
4 Solutions of the 1D Schrödinger equation We now ...
www.qi.damtp.cam.ac.uk/files/Adrian/notespart2.completed.2019.pdf6 Nov 2019: 4.24). 36. Hence. either A = 0 , sin(ka) = 0 ,. ψ(x) = B sin(kx) , k =nπ. 2afor n 2 even. -
Part IB Quantum Mechanics, Michaelmas 2019 Tuesday and Thursday, ...
www.qi.damtp.cam.ac.uk/files/Adrian/notes2019part1.pdf30 Oct 2019: those satisfying Eqn. (3.11). 24. 3.3 The 1D Schrödinger equation for a particle in a potential.
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