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Quantum Field Theory I - ETH Z

Quantum Field Theory IBabis AnastasiouInstitute for Theoretical Physics,ETH Zurich,8093 Zurich, 16, 2020 Contents1 Quantum Field Theory . Why?72 Review of principles of classical and Quantum Time evolution in classical mechanics .. of Poisson brackets .. way to think of classical time evolution .. Time evolution in Quantum mechanics .. Conservation and symmetries in classical mechanics .. classical example .. Symmetries in Quantum mechanics ..153 Theory of Classical Fields from a discretised space (lattice) .. Euler-Lagrange equations for a classical Field from a Lagrangian density . Noether s theorem .. Field symmetry transformations .. symmetry transformations .. tensor .. symmetry transformations and conserved currents .. Field Hamiltonian Density from discretization .. equations for fields .. An example: acoustic waves ..334 Quantisation of the Schr odinger The Schr odinger equation from a Lagrangian density.

2 Review of principles of classical and quantum mechanics 8 ... 2.1 Time evolution in classical mechanics Consider, for simplicity, a one-dimensional mechanical system whose dynamical behavior ... For example, a particle moving in one-dimension under the in 1 2 2 = @A = ...

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