Lectures related to Conjugate variables

Canonical Transformations: Phase Portraits and Action Variables

Explores canonical transformations, phase portraits, and action variables in Hamiltonian systems and harmonic oscillators.

Non-linear dynamics: phenomenology, tools and methods

Explores Hamiltonian and Lagrangian formulations, canonical variables, Lie operators, and their applications in beam dynamics and nonlinear systems.

Quantum Physics I

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 Harmonic Oscillator: Mechanics and Applications

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

Quantum Harmonic Oscillator: Coupling and Coherent States

Covers the quantum harmonic oscillator and its applications in coupling quantum circuits.

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.

Charged Particle in Magnetic Field

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.

Quantum Field Theory: Dirac Hamiltonian

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.

Charged Particle in Magnetic Field

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