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Electronic and Photonic Nanodevices Group
www3.eng.cam.ac.uk/~hjj28/publications.htmlP Parkinson, C Dodson, HJ Joyce, KA Bertness, NA Sanford, LM Herz, MB Johnston. -
Theta oscillation-coupled dendritic spiking integrates inputs on a…
www3.eng.cam.ac.uk/~go223/Publications/huhn05.pdf8 Jun 2010: Neuron 40:177–188. Bernander O, Douglas RJ, Martin KA, Koch C. 1991. -
DEVELOPMENT AND APPLICATIONOF A PROGRAM FOR THE COMPUTER AIDED ...
www3.eng.cam.ac.uk/outreach/Project-resources/Senior-glider/Aery-technical-paper.pdf12 Oct 2011: a. c c Ka cK. K c a Kc. =. =. =. -
Valencia Yacht Club Design
Duration: 00:02:17
Published Date: 2011/10/25First prize in the Carl Zeiss video competition at the University of Cambridge, Department of Engineering : 'Valencia Yacht Club Design Video' Undergraduate students had to come up with an interesting design for a tension structure and do all the complicated nonlinear structural calculations to show that the structure would stand up. Even if we ignore the video, the design is brilliant on so many -
PHYSICAL REVIEW A 93, 042702 (2016) Pseudopotential for the ...
www.tcm.phy.cam.ac.uk/~tmw38/Whitehead16a.pdf5 Apr 2016: 2), which gives. ψ cont0 (r) J0(kr) π. 2[γ ln(ka/2)] Y0(kr), (7). ... 9) of (kR)2/2π , and so describe the scattering correctto O((ka)4). -
Theoretical Physics II
www.tcm.phy.cam.ac.uk/~rjs269/TP2/TP2y2024.pdf22 Jan 2024: Department of PhysicsUniversity of Cambridge. Part II Physics. T H E O R E T I C A L P H Y S I C S I I. T O P I C S I N Q U A N T U M T H E O R Y. R.-J. Slager and G. ChaudharyLent 2024. Contents. 1 Quantum Dynamics 7. 2 Introduction to path -
NATURAL SCIENCES TRIPOS Part II Wednesday 13 January 2016 ...
www.tcm.phy.cam.ac.uk/~nrc25/TP1/ExamFiles/exam16sol.pdf7 Jan 2019: 2mṙθ̇ mrθ̈ = ka sin(θ θB). d. dt. L. ṙ=L. ... r= mr̈ = mrθ̇2 kr ka cos(θ θB). d. dt. L. -
Publications 1980 - 1989
www.tcm.phy.cam.ac.uk/~mw141/1980.html13 Dec 2009: Phys. A18 3007-3026 (1985) (23) Frequency Dependence of NMR Spin-Lattice Relaxation in Bilayer Membranes JA Marqusee, M Warner and KA Dill, J. -
LagrangianDynamics Engineering Part IBPaper 1 Lectures 9-16 J. S. ...
www.tcm.phy.cam.ac.uk/~jsb56/resources/1B_Mechanics_handout.pdf24 Oct 2022: LagrangianDynamics. Engineering Part IBPaper 1. Lectures 9-16. J. S. Biggins. Engineering Department. University of Cambridge. Lent 2022. CONTENTS CONTENTS. Contents. 1 Course Details vi. 1.1 Synopsis. vi. 1.2 Practicalities. vii. 2 Generalized -
PHYSICAL REVIEW A 82, 063625 (2010) Condensed ground states ...
www.tcm.phy.cam.ac.uk/~gm360/papers/source-free/PhysRevA.82.063625.pdf30 Dec 2010: By. are shown in Fig. 3. They are related by kAy kBy = 2π α.1Hence, cos(kA(B)y ) = cos(kB(A)y 2π α), so the Hamiltonian (8)is the ... 1Note that the positions kA(B) of these minima are gauge dependent. -
PHYSICAL REVIEW A 93, 042702 (2016) Pseudopotential for the ...
www.tcm.phy.cam.ac.uk/~gjc29/papers/Whitehead16.pdf24 Aug 2020: 2), which gives. ψ cont0 (r) J0(kr) π. 2[γ ln(ka/2)] Y0(kr), (7). ... 9) of (kR)2/2π , and so describe the scattering correctto O((ka)4). -
PHYSICAL REVIEW A 96, 023619 (2017) Effective-range dependence of ...
www.tcm.phy.cam.ac.uk/~gjc29/papers/SchonenbergVerpoortConduit17.pdf24 Aug 2020: cot[δ(k)] = 2π. ln(ka) k2R2eff. 4. (1). Here a is the scattering length and Reff the effective range. ... f (k) = 4 2. πln(ka) k2R2eff4 i. (8). Matching both expressions, we can express ω0 and λ in termsof a and Reff ,. ω0 = 8π R2eff. ln(qa), (9a). -
Machine learning to predict mesenchymal stem cell efficacy for…
www.tcm.phy.cam.ac.uk/~gjc29/papers/LiuLuOhConduit20.pdf11 Nov 2020: RESEARCH ARTICLE. Machine learning to predict mesenchymal. stem cell efficacy for cartilage repair. Yu Yang Fredrik LiuID1, Yin Lu2, Steve Oh2, Gareth J. ConduitID1. 1 Theory of Condensed Matter Group, Cavendish Laboratory, University of Cambridge, -
Quantum Order-by-Disorder in Strongly Correlated Metals Andrew G.…
www.tcm.phy.cam.ac.uk/~gjc29/papers/GreenConduitKruger17.pdf24 Aug 2020: Quantum Order-by-Disorder in Strongly Correlated Metals. Andrew G. Green,1 Gareth Conduit,2 and Frank Krüger1, 31London Centre for Nanotechnology, University College London,. Gordon St., London, WC1H 0AH, United Kingdom2TCM, Cavendish Laboratory, -
PHYSICAL REVIEW A 90, 033626 (2014) High-fidelity pseudopotentials…
www.tcm.phy.cam.ac.uk/~gjc29/papers/BugnionLopezRiosNeedsConduit14.pdf24 Aug 2020: δcont (k) ={. arctan(ka), = 0,0, > 0,. is the scattering phase shift in the angular momentum channel. ... RcontE,=0(r) =sin[kr δ0(k)]. kr,. where δ0(k) = arctan(ka) and k =. E. The continuityequations at the cutoff are. p(rc) = ln{. sin[krc δ0(k)]rc. -
Absence of diagonal force constants in cubic Coulomb crystals
www.tcm.phy.cam.ac.uk/~gjc29/papers/AndrewsConduit20.pdf23 Dec 2020: Math. Mech. Solids 13, 199–220. (doi:10.1177/. 1081286507086898)3. Grimvall G, Magyari-Köpe B, Ozoliņš V, Persson KA. -
NATURAL SCIENCES TRIPOS Part II Wednesday 13 January 2016 ...
www.tcm.phy.cam.ac.uk/~cc726/TP1/ExamFiles/exam16sol.pdf20 Jan 2016: 2mṙθ̇ mrθ̈ = ka sin(θ θB). d. dt. L. ṙ=L. ... r= mr̈ = mrθ̇2 kr ka cos(θ θB). d. dt. L. -
qcmft
www.tcm.phy.cam.ac.uk/~bds10/tp3/secqu.pdf10 Oct 2012: Ĥ = JN S2 B.Z.Xk! ka†kak O(S0) (2.16). where! k = 2JS(1 cos k) = 4JS sin2(k/2) represents the dispersion relation of the spinexcitations. -
qcmft
www.tcm.phy.cam.ac.uk/~bds10/tp3/ps2.pdf10 Oct 2012: cos ka. ——————————————–. Quantum Condensed Matter Field Theory. -
Lecture I 1 Lecture I: Collective Excitations: From Particles ...
www.tcm.phy.cam.ac.uk/~bds10/tp3/lectures.pdf10 Nov 2013: ka†k. )] O(N. 1/20 ). cf. quantum AF in spin-wave approximation. ... 2. (akak a. †ka†k. )]As with quantum AF, Ĥ diagonalised by Bogoluibov transformation:(. -
phmain
www.tcm.phy.cam.ac.uk/~bds10/phase/topol.pdf4 Apr 2010: The first indication of unusual behaviour in the two-dimensional XY -model (n = 2)appeared in an analysis of the high temperature series expansion by Stanley and Ka-plan (1971). -
16.4. PROBLEM SET IV 216 16.4 Problem Set IV ...
www.tcm.phy.cam.ac.uk/~bds10/aqp/ps4.pdf22 Nov 2009: and verify that the scattering is isotropic when the energy of the incidentparticle or the size of the scatterer is sufficiently low, so that Ka 1.Obtain an expression for the -
lectures
www.tcm.phy.cam.ac.uk/~bds10/aqp/lec2_compressed.pdf21 Oct 2009: κa =. {ka tan(ka) evenka cot(ka) odd. κa =. (2ma2V0! 2 (ka)2. ... leads to the condition,. k [An1 cos(ka) Bn1 sin(ka) An] =2maV0! -
lectures
www.tcm.phy.cam.ac.uk/~bds10/aqp/lec2.pdf12 Oct 2009: κa =. {ka tan(ka) evenka cot(ka) odd. κa =. (2ma2V0! 2 (ka)2. ... leads to the condition,. k [An1 cos(ka) Bn1 sin(ka) An] =2maV0! -
lectures
www.tcm.phy.cam.ac.uk/~bds10/aqp/lec16-17_compressed.pdf17 Nov 2009: eikna = ks (eika eika). 1N. eikna2ks cos(ka). We therefore find that. ... Classical chain: normal modes. ωk = 2. ksm| sin(ka/2)|. At low energies, k 0, (i.e. -
lectures
www.tcm.phy.cam.ac.uk/~bds10/aqp/lec16-17.pdf17 Nov 2009: Substituted into the equations of motion, we obtain. (mω2 2ks ) = 2ks cos(ka). ... ksm| sin(ka/2)|. Classical chain: normal modes. ωk = 2. ksm| sin(ka/2)|. -
lectures
www.tcm.phy.cam.ac.uk/~bds10/aqp/lec15_compressed.pdf9 Nov 2009: For N lattice sites and periodic boundary condition, αnN = αn,solution given by αn =. 1N. eikna,. E = Ek =ε 2t cos(ka)1 S cos(ka). i.e. -
lectures
www.tcm.phy.cam.ac.uk/~bds10/aqp/lec15.pdf9 Nov 2009: For N lattice sites and periodic boundary condition, αnN = αn,solution given by αn =. 1N. eikna,. E = Ek =ε 2t cos(ka)1 S cos(ka). i.e. -
Chapter 10 From molecules to solids In the previous ...
www.tcm.phy.cam.ac.uk/~bds10/aqp/handout_molecular.pdf9 Nov 2009: Substitution confirms that this is a solution with energies(exercise),. Ek =ε 2t cos(ka)1 S cos(ka). -
Chapter 2 Quantum mechanics in onedimension Following the rules ...
www.tcm.phy.cam.ac.uk/~bds10/aqp/handout_1d.pdf8 Oct 2009: Thefigure (right) compares κa = ( 2mV0a. 2! 2 (ka)2)1/2 with ka tan(ka) for the even. ... Bn1 =2maV0! 2k Bn sin(ka) Bn cos(ka) An sin(ka). Advanced Quantum Physics. -
ans4
www.tcm.phy.cam.ac.uk/~bds10/aqp/ans4.pdf20 Jan 2010: A sin(kR) = sin(KR δ0)kA cos(kR) k cos(kR δ0) = U0 sin(kR δ0). -
Phase Transitions and Collective Phenomena
www.tcm.phy.cam.ac.uk/~achc2/phase/notes.pdf4 Jan 2023: Phase Transitions and CollectivePhenomena. Anson Cheungachc2@cam.ac.uk. January 2023. ii. Preface. The fundamental goal of statistical mechanics is to provide a framework in which themicroscopic probabilistic description of systems with large -
Chapter 5 Topological Phase Transitions Previously, we have seen ...
www.tcm.phy.cam.ac.uk/~achc2/phase/chap5.pdf25 Jan 2021: The first indication of unusual behaviour in the two-dimensional XY -model (n = 2)appeared in an analysis of the high temperature series expansion by Stanley and Ka-plan (1971). -
Group Publicatons
www.tcm.phy.cam.ac.uk/publications/Pubs2015.htmlKA Asghar, DA Rowlands, JM Elliott and AM Squires, ACS Nano 9 10970 - 10978 (2015). -
Group Publicatons
www.tcm.phy.cam.ac.uk/publications/Pubs2014.htmlHybrid MPI-OpenMP Parallelism in the ONETEP Linear-Scaling Electronic Structure Code: Application to the Delamination of Cellulose Nanofibrils KA Wilkinson, NDM Hine and C-K Skylaris, J. ... KA See et al., J. -
Daniel Rowlands
www.tcm.phy.cam.ac.uk/profiles/dar55/27 Feb 2018: Predicting Sizes of Hexagonal and Gyroid Metal Nanostructures from Liquid Crystal Templating KA Asghar, DA Rowlands, JM Elliott, and AM Squires ACS Nano 9(11) 10970-10978 2015. -
Alumni of TCM Group
www.tcm.phy.cam.ac.uk/about/alumni/1 Apr 2024: KA Kikoin (visitor 1994-95). RJ Kingdon (gs. 1986-87). DR Kingham (gs. -
Markov Chains These notes contain material prepared by colleagues ...
www.statslab.cam.ac.uk/~rrw1/markov/M.pdf22 May 2013: Theorem 4.2. The vector of mean hitting times kA = (kAi : i I) is the minimalnon-negative solution to the system of linear equations. {. ... 4.1). Proof. First we show that kA satisfies (4.1). If X0 = i A, then HA = 0, so kAi = 0.If X0 6 A, then HA 1, so -
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www.statslab.cam.ac.uk/~rjs57/Empirical.pdf24 Apr 2005: "$#% &'(),-". /'01% 2'3! 4 '5 67-8#% :9;)<=9?>'@'A'. -
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www.statslab.cam.ac.uk/~rjs57/BeranComparison5.pdf24 Apr 2005: z D {. KÃ ÈÉ nÇLÌ Ç ÈL « /¡¢ N[@ D ND/@Dj£w DzH« z@ ¥ @zR@ | g. -
AccFinalPaper.dvi
www.statslab.cam.ac.uk/~rjs57/AccFinalPaper.pdf3 Feb 2006: Am. J. Physical Anthropology 76; 183–188. Wood JW, Holman DL, O’Connor KA and Ferrell RJ. -
gc001085 1..24
www.statslab.cam.ac.uk/~rjs57/2005GC001085.pdf10 Nov 2012: Nonparametric regres-sion estimates were analyzed with a sliding windowlength of 1500 ka and a step size of 125 ka. ... Theshorter %NCW record was analyzed with a windowlength of 625 ka and a step size of 62.5 ka. -
rssb_1034 ..
www.statslab.cam.ac.uk/~rds37/papers/Shah%20Samworth%202013%20Variable%20selection%20with%20error%20control%20-%20another%20look%20at%20stability%20selection.pdf20 Dec 2012: 2012 Royal Statistical Society 1369–7412/13/75055. J. R. Statist. Soc. B (2013)75, Part 1, pp. 55–80. Variable selection with error control: another look atstability selection. Rajen D. Shah and Richard J. Samworth. University of Cambridge, UK. -
Applied Probability Nathanaël Berestycki and Perla Sousi∗ March 6,…
www.statslab.cam.ac.uk/~ps422/notes-new.pdf17 Mar 2017: Let hA(x) = Px(TA < ) and kA(x) = Ex[TA]. Theorem 2.2. ... kA(x) = 0 x A. QkA(x) =y. qxykA(y) = 1 x / A. -
Math. Stat. Learn. 2 (2019), 165–216DOI 10.4171/MSL/14 Mathematical…
www.statslab.cam.ac.uk/~nickl/Site/__files/MSL.pdf24 Sep 2020: Math. Stat. Learn. 2 (2019), 165–216DOI 10.4171/MSL/14. Mathematical Statistics and Learning European Mathematical Society. On statistical Calderón problems. Kweku Abraham and Richard Nickl. Abstract. For D a bounded domain in Rd;d 2; with smooth -
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www.statslab.cam.ac.uk/~james/Markov/s17.pdf2 Oct 2001: "$#&%('),.-0/1324)5%6,78-09;:<1>=?0)5=@1?A-B941 CD),E"$#,?BF&)GIHJ/@#,9;%CK#,?B1LH)5%%1H-01 MND94-0/O-B/1P%)&-09;)&%),Q#,%R94%SG#,?B9#,%(-TM9;CA-0?B94UV-09;)&%W)&?T:<1#5CAV?015XZYD1:<1:3U1?T-B/#-3#[:<1#5CAV?01]W9CL#,%S'$?B)NG&1 -
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www.statslab.cam.ac.uk/~james/Markov/s15.pdf2 Oct 2001: D;. {>GEF"53D>@-=v["5>G6?}6Ja é b v?={[ 3SL b >@?"5 35H(Ew6Ja!"D; W5X#_Z[W]TW Å ç<pñç#rÊòr_ó ô b d LbD$cb ) kÁ ÂÃÂÒõ( -
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www.statslab.cam.ac.uk/~james/Markov/s110.pdf2 Oct 2001: O1[2' ),5' )6?'_$&1Ë.%4A+ ,5O'g?C56#P+?ì1'M?'. Ó F>Å+!"eê ¤ ê Ò Ka)6?@-2a¢ê £9¤ =Ãh)6,!" ,/ F F7?"56#N¢æ £ ... 1.'.)6,5'.)? 'e$;561['.0?-#!CBEÆ «! "= 1[0.@?' $:!-561(Ka/2?"S"a05+!"A+-)!"=61., @?'.$;!"5 13'!ì,5 1[A+ '.)6_%M)6?"$:5ì8;0?@ -
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