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  2. Geometry of catenoidal soap film collapse induced by boundary…

    www.damtp.cam.ac.uk/user/gold/pdfs/CatenoidCollapse.pdf
    8 Sep 2021: 3Institut Universitaire de France (IUF), 75005 Paris, France. (Received 9 May 2021; accepted 24 August 2021; published 8 September 2021). ... 24). It follows that the rescaled area S = A/a2 monotonically de-creases in time,.
  3. Asymptotic theory of hydrodynamic interactions between slender…

    www.damtp.cam.ac.uk/user/lauga/papers/196.pdf
    10 Sep 2021: D. Leading-order dynamics. The induced flow, Eq. (24), makes no contributions to Eq. ... 24). Wefind that the first-order correction to the force distribution is given by.
  4. 3 Introducing Riemannian Geometry‣ General Relativity by David Tong

    www.damtp.cam.ac.uk/user/tong/gr/grhtml/S3.html
    16 Oct 2021: 3 Introducing Riemannian Geometry. 3 Introducing Riemannian Geometry. We have yet to meet the star of the show. There is one object that we can place on a manifold whose importance dwarfs all others, at least when it comes to understanding gravity.
  5. Preprint typeset in JHEP style - HYPER VERSION Lent ...

    www.damtp.cam.ac.uk/user/tong/aqm/justaqm.pdf
    25 Aug 2021: 1.2.2 The Scattering Amplitude 22. 1.2.3 Partial Waves 24. 1.2.4 The Optical Theorem 27. ... r(1.24). The 1/r fall-off follows from solving the free Schrödinger equation; we’ll see this ex-.
  6. Part III - Classical and Quantum Solitons

    www.damtp.cam.ac.uk/user/examples/3P11e.pdf
    20 Apr 2021: The quantities we are interested in are vortices. 24. 2 Vortices III Classical and Quantum Solitons.
  7. J. DIFFERENTIAL GEOMETRY17 (1982) 6 6 1 - 6 ...

    www.damtp.cam.ac.uk/user/tong/susy/morse.pdf
    19 Apr 2021: So we write the relevant action:. (24)dλ. It is easy to prove that minimum action extrema of £ with given initial and.
  8. Preprint typeset in JHEP style - HYPER VERSION Statistical ...

    www.damtp.cam.ac.uk/user/tong/statphys/sp.pdf
    17 Apr 2021: Z(1.24). If we make a measurement described by an operator Ô, then the probability that wefind ourselves in the eigenstate |φ〉 is given by.
  9. 1 The Fundamentals of Statistical Mechanics‣ Statistical Physics by…

    www.damtp.cam.ac.uk/user/tong/statphys/statmechhtml/S1.html
    18 Oct 2021: ρ. =. e. -. β. H. Z. (1.24). If we make a measurement described by an operator. ... In the quantum context, it is sometimes written in terms of the density matrix (1.24) as.
  10. Cop yrig ht © 201 6 U nive rsity ...

    www.damtp.cam.ac.uk/user/tong/vc/benjonathan.pdf
    19 May 2021: mis. sion. 4 Surfaces and Surface Integrals 24. 4.1 Surfaces and Normals 24. ... 24 –. Cop. yrig. ht. 201. 6 U. nive. rsity.
  11. 5 Quantizing the Dirac Field‣ Quantum Field Theory by David Tong

    www.damtp.cam.ac.uk/user/tong/qft/qfthtml/S5.html
    18 Oct 2021: v. r. (. p. ). Figure 23: An incoming anti-fermion. Figure 24: An outgoing anti-fermion. •.

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