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  2. 12 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.
  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. 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.
  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. 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.
  7. 5. When Gravity is Weak The elegance of the ...

    www.damtp.cam.ac.uk/user/tong/gr/five.pdf
    31 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. 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
  9. 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).
  10. cosmo

    www.damtp.cam.ac.uk/user/tong/cosmo/one.pdf
    26 Jun 2024: Zrmax(t). 0. drp1 kr2/R2. = c a(t). Zt. 0. dt0. a(t0)(1.24). ... Indeed,. mathematically it could be that the integral on the left-hand side of (1.24) does not.
  11. 5. Chiral Symmetry Breaking In this section, we discuss ...

    www.damtp.cam.ac.uk/user/tong/gaugetheory/5chisb.pdf
    26 Jun 2024: For example, we. have. m2K+. m2K0. m2. =mu mdmu md. (5.24). ... corrections, we can generalise (5.24) to. (m2K m2K0) (m2 m20). m20.

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