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This is lecture 0: what is QFT and how will this course be taught? This provides a short 18 minute description of what the quantum field theory is about, together with a short summary of topics. The…
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Physics 4Q03 Lecture 01. This lecture reviews several topics usually already encountered in earlier courses such as fundamental units, Dirac's bra and ket notation for quantum mechanics, the…
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Physics 4Q03 Lecture 02. This lecture describes several issues associated with multiple-particle states in quantum mechanics, including the classification of all particles as bosons or fermions and…
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Physics 4Q03 Lecture 03: This lecture provides the foundation of much of what follows: the definition and properties of creation and annihilation operators. These operators provide a basis in terms…
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Physics 4Q03 Lecture 07: This lecture applies Fermi's Golden Rule to evaluate the rate for photon emission by an excited atom. This example is also used to illustrate the phenomenon of…
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Physics 4Q03 Lecture 06: This lecture uses the results for time-dependent perturbation theory to calculate transition rates in terms of the matrix elements of the interaction Hamiltonian, culminating…
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4Q03 Lecture 08: This lecture continues to convert Fermi's Golden Rule to continuum normalization, doing so for a simple absorption process and then for a general scattering process, defining…
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Physics 4Q03 Lecture 05: This lecture reviews the formalisms of time-independent and time-dependent Rayleigh-Schrodinger perturbation theory for quantum mechanics.
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Physics 4Q03 Lecture 28: This lecture applies the framework of relativistic quantum fields to the simplest case of a spinless particle and constructs the Klein Gordon hamiltonian and some of its…
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Physics 4Q03 Lecture 09: This lecture introduces coherent states, and derives them as the eigenstates to which a bosonic system is often driven in the presence of persistent stimulated emission. The…
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Physics 4Q03 Lecture 04: This lecture extends the notions of creation and annihilation operators to fermions, and derives the anticommutation algebra that these satisfy. The lecture also sketches out…
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Physics 4Q03 Lecture 27: This lecture describes the logic that determines which fields can be used to represent particles of different spins, and describes the requirement of microcausality and why…
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4Q03 Lecture 10: This lecture computes the energy shift of a particle due to its interaction with another, introducing ultraviolet divergences and the concept of renormalization along the way. The…
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Physics 4Q03 Tutorial Weds April 14: This is the final tutorial spent taking up part of the midterm and answering questions. Good luck with your exams!
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Physics 4Q03 Lecture 26: This lecture works through how Poincare generators (4-momentum and the angular momentum tensor) transform in quantum relativity. A sketch is given of the argument for the…
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Physics 4Q03 Lecture 16: This lecture provides a whirlwind review of Maxwell's equations and their solutions in terms of electromagnetic waves. This allows an introduction to gauge invariance…
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Physics 4Q03 Lecture 12: This lecture summarizes the position space formalism of the previous lecture and introduces simple self-interactions.
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4Q03 Lecture 11; This lecture argues why the Hamiltonian should arise as a local function in space, and this is used to motivate the definition of position-space fields. The local form for the…
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This is the QFT tutorial for Jan 11, 2021
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Physics 4Q03 Lecture 25: This lecture finishes the general review of special relativity in terms of 4-vectors and reviews the treatment of symmetry in quantum mechanics.
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Physics 4Q03 Lecture 15: This lecture describes the leading corrections to the classical BEC, using a Bogoliubov transformation to identify the spectrum of quasiparticle fluctuations about the…
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Physics 4Q03 Lecture 24: This lecture summarizes some aspects of special relativity, including its formulation in terms of the Lorentz group.
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EFTS, Gravity and Clues from the UV: Theory Group Seminar for Imperial College April 2021
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Physics 4Q03 Lecture 19: This lecture evaluates the Casimir energy for the vacuum fluctuations of a field between two plates on which the field vanishes, showing that it is UV finite. Along the way…
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