Quantum Field Theory: Heisenberg Representation and Noether Charges

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Explores deriving conserved currents in classical and quantum field theory, emphasizing symmetries and equations of motion.

Explores Conformal Field Theory and Operator Product Expansion, emphasizing the role of symmetries and the quantization process in CFT.

Explores the quantum harmonic oscillator's mechanics, energy dynamics, and applications in quantum physics.

Explores conformal transformations, stress tensor, and correlation functions in conformal field theory.

Explores canonical transformations, conservation of quantities, and differential equations in analytical mechanics.

Covers the canonical approach to quantum theory, focusing on Lagrangian mechanics and equations of motion.

Explores energy spectra in AdS, unitarity constraints, and the AdS-CFT correspondence.

Covers the derivation of Einstein equations and the Schwarzschild metric.

Explores canonical transformations, emphasizing Hamiltonian equations, constant quantities, and the importance of Lagrangian variables.

Explores the behavior of charged particles in magnetic fields and the invariance of quantum probabilities.