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  2. solidstate

    www.damtp.cam.ac.uk/user/tong/aqm/solid2.pdf
    7 Apr 2021: ai bj = 2 ij (2.24)? is sometimes referred to as the dual lattice. ... 52 –. The condition (2.24) can also be stated as the requirement that.
  3. 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,.
  4. 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.
  5. 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.
  6. 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-.
  7. 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.
  8. 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.
  9. 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.
  10. 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.
  11. 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.

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