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Ben Allanach's Homepage
www.damtp.cam.ac.uk/user/bca20/index.html29 Apr 2024: Research. I'm Principal Investigator on our STFC Consolidated HEP theory grant: £2.3m ST/T000694/1 (1/10/20-30/9/24) and £2.2m ST/X000664/1 ... 20 Oct 2022: RD/RD interview in CERN Courier. -
Anders Hansen - Applied Functional and Harmonic Analysis
www.damtp.cam.ac.uk/research/afha/anders/13 Jun 2024: Speaking (online) at XAI: Explaining what goes on inside DNN/AI (Oct 20, 2020). ... Speaking at Imperial College/University College London, Numerical Analysis Seminar (Feb. 20 2019). -
3 The Formalism of Quantum Mechanics In the previous ...
www.damtp.cam.ac.uk/user/tong/qm/qm3.pdf26 Jun 2024: commutation relations (3.17) tell us that. [x̂, p̂] = i (3.20). ... Because. it follows purely from (3.20), any operators that obey the same commutation relation. -
Rich Kerswell
www.damtp.cam.ac.uk/user/rrk26/3 Jul 2024: Lecture notes. Woods Hole Oceanographic Institution GFD summer school: Shear Turbulence: Onset and Structure' 20 June - 26 August 2011, Woods Hole, Massachusetts. ( -
Eric Lauga - People
www.damtp.cam.ac.uk/user/lauga/people.html4 Jul 2024: Alex Chamolly ('16-'20) - now postdoc, ENS Paris and Institut Pasteur [Favourite movie: The Silence of the Lambs]. ... Weida Liao ('20) - from Trinity College, Cambridge [Favourite movie: Singin' in the Rain]. -
Stephen J. Cowley: University Committees
www.damtp.cam.ac.uk/user/sjc1/Council/Committees.html8 Jun 2024: 01/01/17-. 31/12/20. , also. 01/01/07-. 31/12/14). ;. the Nominating Committee for External Members of the Council. ... 01/10/22-. 31/12/23. and. 01/01/16-. 31/12/17. , co-opted. 01/01/18-. 31/12/20. and. 01/01/08-. -
Upcoming Talks (up to Aug 2022)
www.damtp.cam.ac.uk/user/mjc249/Talks.html18 Jun 2024: FoCM 2023. (Sorbonne University, Paris. 20 June 2023. Semi-Plenary Speaker (10th Popov Prize Lecture). ... Third Symposium on Machine Learning and Dynamical Systems. (Fields Institute. 20 Sep 2022. -
Robert Jack's homepage
www.damtp.cam.ac.uk/user/rlj22/pub.html3 Jul 2024: 20. , 2060 (2024). [DOI]. Partial and complete wetting of droplets of active Brownian particles, arXiv:2310.07531. ... 20] R. L. Jack and P. Sollich, J. Stat. Mech. (2009), P11011. -
Publications | Maciej Dunajski | University of Cambridge
www.damtp.cam.ac.uk/user/md327/publ.html20 May 2024: 2023) Wormhole Model for Neon-20' arXiv:2303.15567. ... Quantum Grav. 20, 3427-3440. Dunajski, M. and Mason, L.J. (2003) Twistor theory of hyper-K{"a}hler metrics with hidden symmetries', J. -
Eric Lauga - Publications
www.damtp.cam.ac.uk/user/lauga/publications.html29 Jun 2024: P. H. Htet and E. Lauga, J. Roy. Soc. Interface, 20, 20230428, 2023. ... W. M. Bush, A. E. Hosoi and E. Lauga, Phys. Fluids, 20, 082106, 2008. -
Peter Haynes: Publications
www.damtp.cam.ac.uk/user/phh/pubs.html22 Apr 2024: Nonlin. Processes Geophys., 20, 239-248. Haynes, P.H., 2013: Transport in geophysical fluids -- overview. ... Phys. Fluids, 19, 067101. (20 pages). Tzella, A., and Haynes, P.H., 2007: Small-scale spatial structure in plankton distributions. -
dynrel
www.damtp.cam.ac.uk/user/tong/relativity/one.pdf3 Jul 2024: 2.2.1 Central Forces 20. 2.2.2 Angular Momentum 21. 2.3 Gravity 22. -
topicsinqm
www.damtp.cam.ac.uk/user/tong/aqm/topics1.pdf2 Jul 2024: 1.2.2 An Example: Spinless Particles 18. 1.2.3 Another Example: Spin 20. ... The. dual state h|A is defined by. (h|A)| i = h|(A| i) (1.20). -
italy_mjc
www.damtp.cam.ac.uk/user/mjc249/talks/Operator_learning.pdf11 May 2024: 11:00-11:20 : Diana HalikiasElliptic PDE Learning Is Provably Data-Efficient. • 15:45-16:05 : Samuel Otto Operator learning without the adjoint. • -
topicsinqm
www.damtp.cam.ac.uk/user/tong/aqm/topics4.pdf2 Jul 2024: We define the Rabi frequency as. = eE0 h 1|x| 2i (4.20). ... However, the Rabi frequency is proportional to the. amplitude of the electric field (4.20). -
List of publications H.K. Moffatt May 24, 2024 Curriculum ...
www.damtp.cam.ac.uk/user/hkm2/HKM_publications.pdf18 Jun 2024: PDF. 163. Moffatt, H. K. 2007c Professor D. Howell Peregrine - 30 December 1938 - 20 March 2007.Obituary. ... 442, pp. 29–35. Springer. Symposium in Honour ofProfessor Jean-Pierre Guiraud, Université Pierre et Marie Curie, Paris, France, 20–22 -
4 A Quantum Particle in Three Dimensions We will ...
www.damtp.cam.ac.uk/user/tong/qm/qm4.pdf26 Jun 2024: wavefunction as. (r) = rR(r) (4.20). Then, written in terms of the new function (r), the Schrödinger equation takes the. ... additional = 0 node. In Figure 20 we’ve fixed the energy level to n = 4 and plotted. -
standardmodel
www.damtp.cam.ac.uk/user/tong/sm/standardmodel7.pdf26 Jun 2024: in Figure 20. In the rest of this section, we will describe the basics of neutrino masses. ... As we saw in. Section 5, we label the three generations of leptons as (5.20),. -
Koopman_turing_talk_mjc
www.damtp.cam.ac.uk/user/mjc249/talks/rigged_DMD_turing.pdf23 May 2024: 15. 20. 16. 20. 17. 20. 18. 20. 19. 20. 20. ... 17. 20. 18. 20. 19. 20. 20. 20. 21. New Papers on“Koopman Operators”. -
standardmodel
www.damtp.cam.ac.uk/user/tong/sm/standardmodel6.pdf26 Jun 2024: story for leptons? We decompose the left-handed leptons as (5.20). LiL=. ( ... i. L. (6.20). Each of these currents is diagonal in flavour, but this is before we do the rotation (6.9). -
Quantum Mechanics David Tong Department of Applied Mathematics and ...
www.damtp.cam.ac.uk/user/tong/qm/qm1.pdf26 Jun 2024: 2.1 The Free Particle 20. 2.1.1 A Particle on a Circle 22. -
University of Cambridge, DAMTP: Goldstein Lab
www.damtp.cam.ac.uk/user/gold/publications.html4 Jul 2024: Goldstein. Physical Review Letters 64, 1043 (1990) [pdf]. 1989. 20. Parity-Breaking Transitions of Modulated Patterns in Hydrodynamic Systems. -
cosmo
www.damtp.cam.ac.uk/user/tong/cosmo/two.pdf26 Jun 2024: re-purpose it to describe atomic reactions like (2.20) (and, later, nuclear reactions). ... will understand recombination and the atomic reaction (2.20). We consider non-relativistic particles, with energy. -
Quantum Mechanics David Tong Department of Applied Mathematics and ...
www.damtp.cam.ac.uk/user/tong/qm/qm.pdf26 Jun 2024: 2.1 The Free Particle 20. 2.1.1 A Particle on a Circle 22. ... 20 –. If we do interpret (2.6) as the energy of the particle, we should probably compare it. -
8. Quantum Field Theory on the Plane In this ...
www.damtp.cam.ac.uk/user/tong/gaugetheory/83d.pdf26 Jun 2024: action from (8.19). Se =. Zd3x. g2. 82(@µ). 2 KeSmono cos(2) (8.20). ... our eective action (8.20). This means that the vacuum does not support a constant,. -
Preprint typeset in JHEP style - HYPER VERSION Lent ...
www.damtp.cam.ac.uk/user/tong/relativity/dynrel.pdf3 Jul 2024: 2.2.1 Central Forces 20. 2.2.2 Angular Momentum 21. 2.3 Gravity 22. ... 22 x. 23, from which we can. – 20 –. compute r/xi = xi/r for i = 1, 2, 3. -
Matthew Colbrook
www.damtp.cam.ac.uk/user/mjc249/Publications.html18 Jun 2024: This allows us to compute the spectral measure associated with the dynamics of a protein molecule with a 20,046-dimensional state space and compute nonlinear Koopman modes with error bounds ... An IMA Leslie Fox Prize 2023. 20. M. Colbrook, L. Ayton, "A -
Preprint typeset in JHEP style - HYPER VERSION Michaelmas ...
www.damtp.cam.ac.uk/user/tong/sft/sft.pdf12 Apr 2024: 1.2.4 A First Look at Universality 20. 1.3 Landau-Ginzburg Theory 22. ... χ 1|T Tc|. (1.20). We’ll see the relevance of this shortly. -
2. Yang-Mills Theory Pure electromagnetism is a free theory ...
www.damtp.cam.ac.uk/user/tong/gaugetheory/2ym.pdf26 Jun 2024: 2 Z+ (2.20). This is interesting. We have an example where a parameter in an action can only. ... freedom w() and the Lagrange multiplier (). First, we ask: how can we see the quantisation condition of (2.20) in the path. -
G-Adaptive mesh refinement - leveraging graphneural networks and…
www.damtp.cam.ac.uk/user/gam37/preprints/preprint_g-adaptive_mesh_refinement.pdf11 Jun 2024: Such methods offer certain advantages (forexample in high dimensional settings [20]), but are typically outperformed by traditional numericalmethods in accuracy in most settings [17]. ... 20] J. Han, A. Jentzen, and W. E. Solving high-dimensional partial -
Preprint typeset in JHEP style - HYPER VERSION 2018 ...
www.damtp.cam.ac.uk/user/tong/gaugetheory/gt.pdf26 Jun 2024: conditions, Sθ can only take values of the form. Sθ = θN with N Z (1.20). ... 22cNe2. Sθ = θN with N = nn′ Z. which is our promised result (1.20). -
3. Anomalies We learn as undergraduates that particles come ...
www.damtp.cam.ac.uk/user/tong/gaugetheory/3anom.pdf26 Jun 2024: The. infinitesimal action of the vector rotation! ei is. = i , ̄ = i (3.20). ... tions dier. For the vector transformation (3.20), we have = i and ̄ = i ̄.This extra minus sign means that the Jacobian factors for and ̄ have the form. -
4. The Einstein Equations It is now time to ...
www.damtp.cam.ac.uk/user/tong/gr/four.pdf31 May 2024: X0 = R sinh(/R) and Xi = R cosh(/R)yi (4.20). where the yi, with i = 1, 2, 3, 4, obeyP. -
6. Black Holes Black holes are among the most ...
www.damtp.cam.ac.uk/user/tong/gr/six.pdf31 May 2024: 6. Black Holes. Black holes are among the most enigmatic objects in the universe. They are described. by deceptively simple solutions to the Einstein equations, yet hold a host of insights. and surprises, from the meaning of causal structure, to -
Lent Term, 2015 ElectromagnetismUniversity of Cambridge Mathematical…
www.damtp.cam.ac.uk/user/tong/em/electro.pdf27 Apr 2024: 2.2.3 General Charge Distributions 20. 2.2.4 Field Lines 23. 2.2.5 Electrostatic Equilibrium 24. ... G(r; r′) = 14π. 1. |r r′|(2.20). – 20 –. We can now apply our usual Green’s function methods to the general Poisson equation. -
italy_mjc
www.damtp.cam.ac.uk/user/mjc249/talks/Italy_mpEDMD.pdf6 Apr 2024: 15. 20. 16. 20. 17. 20. 18. 20. 19. 20. 20. ... 20. 21. New Papers on“Koopman Operators”. number of papers. doubles every 5 yrs. -
dynrel
www.damtp.cam.ac.uk/user/tong/relativity/two.pdf3 Jul 2024: 2.2.1 Central Forces 20. 2.2.2 Angular Momentum 21. 2.3 Gravity 22. ... 23, from which we can. – 20 –. compute @r/@xi = xi/r for i = 1, 2, 3. -
E.J.Hinch, 12 March 2024 Publications by E.J. Hinch 1. ...
www.damtp.cam.ac.uk/user/hinch/publications/pubs.pdf10 Jun 2024: 71, 481–495. 20. Hinch, E.J. 1975 Applications of the Langevin equation to fluid suspensionsJ. ... Fluids 20, 023302(9 pages). 119. Chiu-Webster, S., Hinch, E.J. & Lister, J.R. -
Statistical Field Theory: Example Sheet 3 David Tong, November ...
www.damtp.cam.ac.uk/user/tong/sft/99c.pdf12 Apr 2024: 2(ϕ)2 λ0 ζβ. 20/4π cos(β0ϕ. ). Hence show that the cos(βϕ) potential is relevant when β20 < 8π and irrelevant when. -
topicsinqm
www.damtp.cam.ac.uk/user/tong/aqm/topics2.pdf2 Jul 2024: x0 = E/C. The asymptotic behaviour (2.19) and (2.20) is exactly what we need to. ... totic form of the Airy function (2.20) is given by. Ai(x). -
4 The Integral Theorems The fundamental theorem of calculus ...
www.damtp.cam.ac.uk/user/tong/vc/vc4.pdf12 Jun 2024: solve this in conjunction with (4.20) but here it will turn out, somewhat fortuitously,. ... that if we just find the obvious solution to (4.20) then it solves rB = 0 automatically. -
2 A Quantum Particle in One Dimension There is ...
www.damtp.cam.ac.uk/user/tong/qm/qm2.pdf26 Jun 2024: 20 –. If we do interpret (2.6) as the energy of the particle, we should probably compare it. ... tem in Nature are described by the Hamiltonian (2.20). (There are exceptions. -
Convergence analysis of oversampled collocation boundary element…
www.damtp.cam.ac.uk/user/gam37/preprints/preprint_oversampled_collocation_maierhoferhuybrechs.pdf1 May 2024: s2αs‖uχN‖r2α‖‖u(M)N χN‖s2α+ Er,s(M )‖V‖r2αr‖V‖s2αs‖uχN‖s2α‖‖u(M)N χN‖r2α. (20). ... 20) any term of the form ‖u χN‖t has t 0 (by virtue ofr,s 1 = 2α). -
standardmodel
www.damtp.cam.ac.uk/user/tong/sm/standardmodel5.pdf2 Jul 2024: 2, 1)1/2 (5.20). where, again, the labelling is premature and should be taken with a grain of salt before. ... components of these doublets. We write. QL =. uL. dL! and LL =. L. eL! (5.77). (We already introduced these names in (5.18) and (5.20) although, -
2. Introducing Di↵erential Geometry Gravity is geometry. To fully ...
www.damtp.cam.ac.uk/user/tong/gr/two.pdf31 May 2024: about an interesting person and having to spend the first 20 pages wading through. ... so, from (2.20),. the pull-back of a basis vector dxµ is. -
6. Large N Non-Abelian gauge theories are hard. We ...
www.damtp.cam.ac.uk/user/tong/gaugetheory/6n.pdf26 Jun 2024: compute correlation functoins. hJ1. Jpic N1p/2 (6.20). The first factor of N comes from the planar diagrams with a quark loop running. -
dynrel
www.damtp.cam.ac.uk/user/tong/relativity/four.pdf3 Jul 2024: attractive or repulsive). – 63 –. bb. Figure 20:. Firstly, by energy conservation, the speed of the particle at the end of its trajectory. ... negligible. But, from (4.20), we see that, regardless of the initial velocity v, if you fire. -
cosmo
www.damtp.cam.ac.uk/user/tong/cosmo/one.pdf26 Jun 2024: the emitted light,. 0 =a(t0). a(t1)1 =. 1. a(t1)(1.20). This is intuitive: the light is stretched by the expansion of space as it travels through. ... long journey. If they are emitted with frequency 1 then, from (1.20), they arrive with. -
5. Chiral Symmetry Breaking In this section, we discuss ...
www.damtp.cam.ac.uk/user/tong/gaugetheory/5chisb.pdf26 Jun 2024: This is achieved by the so-called hedgehog ansatz,. USkyrme(x) = exp (if(r) x̂) = cos f(r) i x̂ sin f(r) (5.20). ... a spatial and flavour rotation. The subgroup of (5.21) which acts non-trivially on the Skyrmion solution (5.20). -
Preprint typeset in JHEP style - HYPER VERSION Michaelmas ...
www.damtp.cam.ac.uk/user/tong/gr/one.pdf31 May 2024: which it couples to the new term Aµ(x). It’s simple to check that the action (1.20). ... 1.20) is determined by the Maxwell equation. We will describe the Einstein equations.
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