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Explores discrete and continuous degrees of freedom, canonical commutation relations, and the correspondence between classical and quantum mechanics.
Canonical Transformations: Hamiltonian Equations
Explores canonical transformations, emphasizing Hamiltonian equations, constant quantities, and the importance of Lagrangian variables.
Quantum Field Theory: Heisenberg Representation and Noether Charges
Explores the Heisenberg representation of a free massive real scalar field and the time independence of Noether charges.
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Explores the behavior of a charged particle in a magnetic field, covering classical and quantum aspects, gauge transformations, and spatial translations.
Quantum Physics I
Covers the fundamentals of quantum physics, focusing on Hamiltonians, Schrödinger's equation, and magnetic resonance.
Signals & Systems I: Uncertainty Relations and Gaussian Impulse
Explores uncertainty relations, Gaussian impulse, pseudo-probability density, and Gabor functions in signals and systems.
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Covers the quantization of the Dirac field and its Hamiltonian properties.
Quantum Field Theory: Path Integrals
Explores path integrals in quantum field theory, emphasizing the significance of Wick rotation and the classical case.
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