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  2. 8. Quantum Field Theory on the Plane In this ...

    www.damtp.cam.ac.uk/user/tong/gaugetheory/83d.pdf
    26 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.
  3. 2 A Quantum Particle in One Dimension There is ...

    www.damtp.cam.ac.uk/user/tong/qm/qm2.pdf
    26 Jun 2024: d2h. dy22ydh. dy+ (Ẽ 1)h = 0 (2.26). You can check that this is indeed satisfied by our earlier solution (2.24) with h = 1. ... We learn that the. Gaussian wavefunction (2.24) that we guessed earlier is actually the lowest energy.
  4. J. Fluid Mech. (2024), vol. 978, R1, doi:10.1017/jfm.2023.849…

    www.damtp.cam.ac.uk/user/lauga/papers/222.pdf
    2 Jan 2024: 24, 313–358.PELLE, D.W., BROKAW, C.J., LESICH, K.A. & LINDEMANN, C.B. 2009 Mechanical properties of the.
  5. 31 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.
  6. 2 Jan 2024: 1B), owing to the cell-to-cell variations inmetabolism and the number and morphology of flagella (24).Thanks to the large sample size of our experiments, we are able tomeasure the
  7. munich_talk_mjc

    www.damtp.cam.ac.uk/user/mjc249/talks/rigged_DMD_munich.pdf
    10 Jun 2024: Slide 24: Spectral measures goes to diagonalisation. Slide 25: Spectral measures goes to dynamics.
  8. 3. Introducing Riemannian Geometry We have yet to meet ...

    www.damtp.cam.ac.uk/user/tong/gr/three.pdf
    31 May 2024: Claim:. d? F =? J , rµF µ = J (3.24).
  9. 6. Large N Non-Abelian gauge theories are hard. We ...

    www.damtp.cam.ac.uk/user/tong/gaugetheory/6n.pdf
    26 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
  10. Biophysical Fluid Dynamics in a Petri Dish George T. ...

    www.damtp.cam.ac.uk/user/gold/pdfs/petridish130224.pdf
    13 Feb 2024: Rotletflows arise from (d) the bacterium Escherichia coli under confinement, generating flow field in (e) [24], (f)a magnetic nano stir bar [25], and (g) a macroscopic stirrer [26]. ... 23 eqs. 29-30. Stokeslet Main text eq. 24 eqs. 32-34.Rotlet Appendix
  11. 6. Black Holes Black holes are among the most ...

    www.damtp.cam.ac.uk/user/tong/gr/six.pdf
    31 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

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