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3 The Formalism of Quantum Mechanics In the previous ...
www.damtp.cam.ac.uk/user/tong/qm/qm3.pdf26 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. -
Quantum Mechanics David Tong Department of Applied Mathematics and ...
www.damtp.cam.ac.uk/user/tong/qm/qm.pdf26 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. -
8. Quantum Field Theory on the Plane In this ...
www.damtp.cam.ac.uk/user/tong/gaugetheory/83d.pdf26 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. -
2. Yang-Mills Theory Pure electromagnetism is a free theory ...
www.damtp.cam.ac.uk/user/tong/gaugetheory/2ym.pdf26 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. -
Preprint typeset in JHEP style - HYPER VERSION 2018 ...
www.damtp.cam.ac.uk/user/tong/gaugetheory/gt.pdf26 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. -
cosmo
www.damtp.cam.ac.uk/user/tong/cosmo/three.pdf26 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. -
cosmo
www.damtp.cam.ac.uk/user/tong/cosmo/one.pdf26 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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