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Ben Allanach's Homepage
www.damtp.cam.ac.uk/user/bca20/index.html29 Apr 2024: Rencontres de Moriond: Weak interactions and unified theories, La Thuile, Italy, Mar 24-31, 2024. ... 23 Mar 24 11am, talk for Cambridge Festival at INI: The Force Awakens: Quantum Collisions. -
Anders Hansen - Applied Functional and Harmonic Analysis
www.damtp.cam.ac.uk/research/afha/anders/13 Jun 2024: J. Amer. Math. Soc. 24, no. 1, 81-124. J. Ben-Artzi, M. ... J. Amer. Math. Soc. 24, no. 1, 81-124. A. C. Hansen, J. -
List of publications H.K. Moffatt May 24, 2024 Curriculum ...
www.damtp.cam.ac.uk/user/hkm2/HKM_publications.pdf18 Jun 2024: Fluid Dyn. 24 (1-4, SI), 209–215. PDF. 2009. 169. Moffatt, H. ... PDF. 4. Publications: H.K.Moffatt May 24, 2024. 167. Moffatt, H. K. & -
Course: Numerical Analysis - Applied Functional and Harmonic Analysis
www.damtp.cam.ac.uk/research/afha/lectures/NST_1A/3 Apr 2024: Time: T,Th,Sat 9am. This is a Part IA course in Mathematical Methods given in Michaelmas term 2023 that contains 24 lectures. -
Stephen J. Cowley, DAMTP, University of Cambridge
www.damtp.cam.ac.uk/user/sjc1/8 Jun 2024: 2.24. To worship gods that are not yours, that is toadyism. -
Stephen J. Cowley: University Committees
www.damtp.cam.ac.uk/user/sjc1/Council/Committees.html8 Jun 2024: 01/01/17-. 31/12/20). ;. the Governance Review Working Group. (24/04/17-. 31/12/20. );. the Pensions Advisory Group. (May 2017 - December 2020, also October 2010 - December 2014). ... elected. 01/01/24-. 31/12/27 and. 01/01/11-. 31/12/14. , co-opted. -
Upcoming Talks (up to Aug 2022)
www.damtp.cam.ac.uk/user/mjc249/Talks.html18 Jun 2024: FoCM 2023. (Sorbonne University, Paris. 24 May 2023. Avoiding discretization issues for nonlinear eigenvalue problems. ... Analysis & PDE Seminar. (Cardiff University. 24 March 2022. Koopman operators and the computation of spectral properties in -
University of Cambridge, DAMTP: Goldstein Lab
www.damtp.cam.ac.uk/user/gold/lectures.html22 May 2024: Department of Applied Mathematics. and Theoretical Physics. Goldstein Lab. Lectures, Programmes, etc. Audio/Videos of Recent Presentations. Conferences, Colloquia, and Seminars. Seminar, CENTURI, Turing Centre for Living Systems, Marseille, France, -
Lectures: Ben Allanach
www.damtp.cam.ac.uk/user/bca20/teaching.html22 Apr 2024: It is a similar course, although because the lectures were longer in duration, he gave 14 rather than 24. -
Quantum Mechanics David Tong Department of Applied Mathematics and ...
www.damtp.cam.ac.uk/user/tong/qm/qm.pdf26 Jun 2024: 2.1.2 The Infinite Potential Well 24. 2.1.3 The Gaussian Wavepacket 27. ... 24 –. easy to deal with. The Schrödinger equation equation is. -
Publications | Maciej Dunajski | University of Cambridge
www.damtp.cam.ac.uk/user/md327/publ.html20 May 2024: Asian Journal of Mathematics, Vol. 24, 621-652 pdf file. ... Quantum. Grav. 24, 1841-1862. -
Eric Lauga - Publications
www.damtp.cam.ac.uk/user/lauga/publications.html29 Jun 2024: Lauga and L. Brandt, Phys. Fluids, 24, 051902, 2012. ... 2008. 24. Flapping motion and force generation in a viscoelastic fluid. -
topicsinqm
www.damtp.cam.ac.uk/user/tong/aqm/topics4.pdf2 Jul 2024: The anti-. unitary operator acts on angular momentum as (1.24),. L1 = L. ... P2(t) 2. 2sin2. t. 2. (4.24). Electric Dipoles vs Magnetic Dipoles. -
italy_mjc
www.damtp.cam.ac.uk/user/mjc249/talks/Italy_mpEDMD.pdf6 Apr 2024: Slide 23: Convergence of measures. Slide 24: Further convergence. Slide 25: Lorenz system. -
standardmodel
www.damtp.cam.ac.uk/user/tong/sm/standardmodel3.pdf26 Jun 2024: V (r) =g2s. 4rT AcaT? Adb. (3.24). – 99 –. We’ve still got those colour indices to deal with. ... the result (3.24).) Consider the operator. SA = T A(R1) 1 1 T A(R2). -
4. Lattice Gauge Theory Quantum field theory is hard. ...
www.damtp.cam.ac.uk/user/tong/gaugetheory/4lattice.pdf26 Jun 2024: 4.24). with @ = @t @x. The equations of motion tell us @ = @ = 0. ... moving fermion. The chiral symmetry of the action (4.24) means that the left- and right-handed. -
5. When Gravity is Weak The elegance of the ...
www.damtp.cam.ac.uk/user/tong/gr/five.pdf31 May 2024: 1 1. 2He. i!t. (5.24). where, as we mentioned previously, we should take the real part of the right-hand-side. ... S1(0)2 S2(0)2 = R2. The solutions (5.24) tell us how these geodesics evolve. -
8. Quantum Field Theory on the Plane In this ...
www.damtp.cam.ac.uk/user/tong/gaugetheory/83d.pdf26 Jun 2024: group, means that the theory admits fluxes (8.24) and gauge transformations (8.25). ... a derivative of the Chern-Simons term (2.24). (It also arose in the same context when. -
CV: Matthew J. ColbrookEMAIL: m.colbrook@damtp.cam.ac.ukWEBSITE:…
www.damtp.cam.ac.uk/user/mjc249/pdfs/CV_MColbrook2024.pdf11 May 2024: 24. M.J. Colbrook, B. Roman, A.C. Hansen, How to compute spectra with error control, Physical Review Letters,2019.Cover highlight for issue.Prizes: Grade 1 Smith–Knight/Rayleigh–Knight -
Vector CalculusUniversity of Cambridge Part IA Mathematical Tripos…
www.damtp.cam.ac.uk/user/tong/vc/vc1.pdf12 Jun 2024: 1.3.3 An Application: Work and Potential Energy 24. 1.3.4 A Subtlety 25. ... 24 –. We learn that a conservative force, one that can be written as (1.18), has a conserved. -
6. Large N Non-Abelian gauge theories are hard. We ...
www.damtp.cam.ac.uk/user/tong/gaugetheory/6n.pdf26 Jun 2024: The gluon exchange is now. 1N2. (6.24). but there are order N3 triplets of quarks, so again the total amplitude scales as N. ... 6N2. X. i 6=j 6=k. V3(xij, xjk). where xij = xi xj and the coecients in front of the potentials are taken from (6.23)and (6.24 -
cosmo
www.damtp.cam.ac.uk/user/tong/cosmo/two.pdf26 Jun 2024: integral as. n 4. (2)3 eµ. Z 1. 0. dp p2ep2/2m =. mkBT. 22. 3/2eµ (2.24). Let’s try to interpret this. Read naively, it seems to tell ... anti-aligned to give 3 dierent spin 1 states. With these two amendments, our expression for the number density (2 -
Quantum Mechanics David Tong Department of Applied Mathematics and ...
www.damtp.cam.ac.uk/user/tong/qm/qm1.pdf20 Apr 2024: 2.1.2 The Infinite Potential Well 24. 2.1.3 The Gaussian Wavepacket 27. -
Preprint typeset in JHEP style - HYPER VERSION Lent ...
www.damtp.cam.ac.uk/user/tong/aqm/topicsinqm.pdf2 Jul 2024: 1.2.4 Kramers Degeneracy 22. 2. Approximation Methods 24. 2.1 The Variational Method 24. ... ΘLΘ1 = L (1.24). – 19 –. We can also see how it acts on states. -
Preprint typeset in JHEP style - HYPER VERSION Michaelmas ...
www.damtp.cam.ac.uk/user/tong/gr/one.pdf31 May 2024: should identify. g00(x) 1. 2(x). c2. (1.24). where (x) is the Newtonian gravitational field. ... 1.24) but with a linear gravitational potential of the kind that we would invoke for. -
4 A Quantum Particle in Three Dimensions We will ...
www.damtp.cam.ac.uk/user/tong/qm/qm4.pdf26 Jun 2024: 0 for all S(r) and R(r) (4.24). This is clearly satisfied if R and S are finite at the origin. -
Matthew Colbrook
www.damtp.cam.ac.uk/user/mjc249/Publications.html18 Jun 2024: 25. M. Colbrook, "On the computation of geometric features of spectra of linear operators on Hilbert spaces," Foundations of Computational Mathematics, 24, 723–804, 2024. ... 24. M. Colbrook, A. Hansen, "The foundations of spectral computations via the -
topicsinqm
www.damtp.cam.ac.uk/user/tong/aqm/topics1.pdf2 Jul 2024: 1.2.4 Kramers Degeneracy 22. 2. Approximation Methods 24. 2.1 The Variational Method 24. ... L1 = L (1.24). – 19 –. We can also see how it acts on states. -
Preprint typeset in JHEP style - HYPER VERSION Michaelmas ...
www.damtp.cam.ac.uk/user/tong/sft/sft.pdf12 Apr 2024: 1.3.1 The Landau-Ginzburg Free Energy 24. 1.3.2 The Saddle Point and Domain Walls 26. -
Preprint typeset in JHEP style - HYPER VERSION 2018 ...
www.damtp.cam.ac.uk/user/tong/gaugetheory/gt.pdf26 Jun 2024: in (1.24) because E = (0,0,E) lies parallel to the side of the torus, not perpendicular. ... Instead, both (1.23) and (1.24) are best thought of as integrating the 2-form Fµν over. -
Preprint typeset in JHEP style - PAPER VERSION June ...
www.damtp.cam.ac.uk/user/tong/tasi/tasi.pdf31 May 2024: 1.4.1 The Metric on the Higgs Branch 23. 1.4.2 Constructing the Solutions 24. ... in 5 1 dimensions is a sigma-model on a hyperKähler target space [24] which, for. -
4. The Einstein Equations It is now time to ...
www.damtp.cam.ac.uk/user/tong/gr/four.pdf31 May 2024: ṙ2 Ve(r) = E2 (4.24). but this time with the eective potential. ... This tells us that the particle follows a null geodesic. The equation (4.24) gets replaced. -
2. Yang-Mills Theory Pure electromagnetism is a free theory ...
www.damtp.cam.ac.uk/user/tong/gaugetheory/2ym.pdf26 Jun 2024: where. Kµ = µtr. A@A. 2i. 3AAA. (2.24). This means that, as in the Maxwell case, the theta term does not change the. ... derivative (2.24), the temporal component was K0 = 42W. For now, the key property of W(A) that we will need is. -
G-Adaptive mesh refinement - leveraging graphneural networks and…
www.damtp.cam.ac.uk/user/gam37/preprints/preprint_g-adaptive_mesh_refinement.pdf11 Jun 2024: There has been a proliferation of architectures inspiredby spectral graph theory [11], convolutional (GCN) [24], message passing (MPNN) [15] and atten-tional (GAT) [40] approaches. ... 24] T. N. Kipf and M. Welling. Semi-Supervised Classification with -
3. Anomalies We learn as undergraduates that particles come ...
www.damtp.cam.ac.uk/user/tong/gaugetheory/3anom.pdf26 Jun 2024: p. Figure 24:. to be conserved if we deform the theory, provided that both. ... not Grassmann-valued) four-component spinors n satisfying. i /Dn = nn (3.24). -
J. Fluid Mech. (2024), vol. 988, A10, doi:10.1017/jfm.2024.223 Flow…
www.damtp.cam.ac.uk/user/hinch/publications/JFM988_A10.pdf10 Jun 2024: Received 10 October 2023; revised 27 December 2023; accepted 24 February 2024). ... F(Z, ζ ) = 13ζ. Z0. H(Z̃) dZ̃. (3.25). We note that solutions (3.24) satisfy the matching conditions between theinner and outer regions. -
Book Reviews | SIAM Review | Vol. 65, No. 4 | Society for Industrial…
www.damtp.cam.ac.uk/user/lauga/papers/BookReview_SIAM.pdf25 Jun 2024: Murphy), Mehrshad Sadria, 1196. Dow. nloa. ded. 06/2. 5/24. to 1. ... Highlights include a con-. Dow. nloa. ded. 06/2. 5/24. to 1. -
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. -
Vector Calculus University of Cambridge Part IA Mathematical Tripos…
www.damtp.cam.ac.uk/user/tong/vc/vc.pdf12 Jun 2024: 1.3.3 An Application: Work and Potential Energy 24. 1.3.4 A Subtlety 25. ... 24 –. We learn that a conservative force, one that can be written as (1.18), has a conserved. -
topicsinqm
www.damtp.cam.ac.uk/user/tong/aqm/topics3.pdf2 Jul 2024: atom. It is another thing to solve it! No exact solutions of (3.24) are known for. ... in (3.24). In this case, the Hamiltonian reduces to N copies of. -
BMC_talk_mjc
www.damtp.cam.ac.uk/user/mjc249/talks/rigged_DMD_manchester.pdf18 Jun 2024: 𝑒𝑗 𝑒𝑗1. 𝑈 =. Back to the shift! . 24. 0 1. ... Slide 24: Back to the shift! Slide 25: Back to the shift! -
standardmodel
www.damtp.cam.ac.uk/user/tong/sm/standardmodel7.pdf26 Jun 2024: 255 –. Figure 24. A colour coded description of the possible ordering of neutrino masses. ... The two possibilities are shown in Figure 24. Given the pattern seen in all other. -
Preprint typeset in JHEP style - HYPER VERSION 2018 ...
www.damtp.cam.ac.uk/user/tong/gaugetheory/1em.pdf26 Jun 2024: Instead, both (1.23) and (1.24) are best thought of as integrating the 2-form Fµ over. ... Armed with (1.23) and (1.24), we see that, at least for this specific example,. -
Convergence analysis of oversampled collocation boundary element…
www.damtp.cam.ac.uk/user/gam37/preprints/preprint_oversampled_collocation_maierhoferhuybrechs.pdf1 May 2024: 18] and Huybrechs & Olteanu [24]). In the current manuscript,we aim to provide an introductory but rigorous analysis of the least-squares oversampled col-location method. ... uχ′N‖2α chl2α‖u‖l, (22)‖uχ′N‖r2α chl2αr‖u‖l, (23). and -
E.J.Hinch, 12 March 2024 Publications by E.J. Hinch 1. ...
www.damtp.cam.ac.uk/user/hinch/publications/pubs.pdf10 Jun 2024: Fluid Mech. 76, 187–208. 24. Hinch, E.J. 1976 Mechanical models of dilute polymer solutions for strong flowsin Proc. ... Guazzelli & L. Oger NATO-ASI E 287, 1–24. Repro-duced as a special edition du journal du G.d.R de P.M.H.C. -
standardmodel
www.damtp.cam.ac.uk/user/tong/sm/standardmodel5.pdf2 Jul 2024: µ 12Tr GµG. µ. (5.24). The kinetic terms for the fermions are. -
munich_talk_mjc
www.damtp.cam.ac.uk/user/mjc249/talks/rigged_DMD_munich.pdf10 Jun 2024: Slide 24: Spectral measures goes to diagonalisation. Slide 25: Spectral measures goes to dynamics. -
cosmo
www.damtp.cam.ac.uk/user/tong/cosmo/three.pdf26 Jun 2024: 1. ar v̇ = Ḣ. 1. arv̇. Take the gradient of (3.24) to get. ... 1.24). In such a situation, it would make little sense to talk about perturbations with. -
7. Quantum Field Theory on the Line In this ...
www.damtp.cam.ac.uk/user/tong/gaugetheory/72d.pdf26 Jun 2024: 4i. 1 log. i. 2UV. iv2. (7.24). where, to reach the second line, we’ve Taylor expanded in /2UV. , ... 2. This is the same kind of integral that we met in (7.24) when solving the 2d CPN1. -
Preprint typeset in JHEP style - HYPER VERSION Michaelmas ...
www.damtp.cam.ac.uk/user/tong/gr/gr.pdf31 May 2024: should identify. g00(x) (1. 2Φ(x). c2. )(1.24). where Φ(x) is the Newtonian gravitational field. ... 1.24) but with a linear gravitational potential Φ of the kind that we would invoke for.
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