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  2. 3 The Formalism of Quantum Mechanics In the previous ...

    www.damtp.cam.ac.uk/user/tong/qm/qm3.pdf
    26 Jun 2024: function with itself is positive definite. In fact, our normalisability requirement (3.1). ... The requirement that the wavefunctions are single valued functions then tells us that.
  3. 6 Tensors A famously annoying definition of a tensor ...

    www.damtp.cam.ac.uk/user/tong/vc/vc6.pdf
    12 Jun 2024: Why don’t. we just do something much simpler and multiply entries together component by compo-. ... is because it’s only there that the ijk symbol has three entries.
  4. 26 Jun 2024: requirement that the wavefunction should be periodic, so that. ψ(x 2πR) = ψ(x). ... Not all solutions (2.5) obey this requirement. We must have. eik(x2πR) = eikx e2πikR = 1.
  5. 8. Quantum Field Theory on the Plane In this ...

    www.damtp.cam.ac.uk/user/tong/gaugetheory/83d.pdf
    26 Jun 2024: and this is where the quantisation requirement now comes from. In fact, we have seen. ... Yang-Mills. On a spacetime manifold S3 (or on R3 with the requirement that gauge.
  6. 2. Yang-Mills Theory Pure electromagnetism is a free theory ...

    www.damtp.cam.ac.uk/user/tong/gaugetheory/2ym.pdf
    26 Jun 2024: go down this path, we must solve the = 0 Schrödinger equation with the requirement. ... to worry about; instead, it’s simply the requirement that the wavefunction is single.
  7. 12 Jun 2024: with the additional requirement of z = 0 prompting the artistic flourish that results in. ... Implicit in our previous proof was. the requirement that we have a continuous function ϕ, well defined everywhere on R2.Strictly speaking, a conservative field
  8. Preprint typeset in JHEP style - HYPER VERSION 2018 ...

    www.damtp.cam.ac.uk/user/tong/gaugetheory/gt.pdf
    26 Jun 2024: Preprint typeset in JHEP style - HYPER VERSION 2018. Gauge Theory. David Tong. Department of Applied Mathematics and Theoretical Physics,. Centre for Mathematical Sciences,. Wilberforce Road,. Cambridge, CB3 OBA, UK.
  9. cosmo

    www.damtp.cam.ac.uk/user/tong/cosmo/three.pdf
    26 Jun 2024: horizon. It matters whether the time of entry occurs during the radiation or matter. ... For a given. mode k, the scale factor at horizon entry is given by.
  10. cosmo

    www.damtp.cam.ac.uk/user/tong/cosmo/one.pdf
    26 Jun 2024: Preprint typeset in JHEP style - HYPER VERSION Michaelmas Term, 2019. CosmologyUniversity of Cambridge Part II Mathematical Tripos. David Tong. Department of Applied Mathematics and Theoretical Physics,. Centre for Mathematical Sciences,.

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