Lectures related to Phase-space formulation

Covers the damped harmonic oscillator in quantum optics, discussing alternative descriptions and extensions like finite temperature.

Covers the concept of the Wigner function in quantum optics.

Explores the Jarzynski equation and the quantization of electrical circuits in quantum harmonic oscillators.

Explores the evolution of the distribution function describing particles in phase space.

Explores Hamiltonian formulation and its equivalence with Euler-Lagrange equations, illustrated through examples.

Explores nuclear quantum effects in nonlinear spectroscopy, focusing on the double Kubo transform and second-order response function.

Covers the damped harmonic oscillator in quantum optics, including field amplitude, coherent states, photon numbers, and phase space.

Explores the approximated Boltzmann equation, classical laws, and energy transport.

Covers the Hamiltonian formalism, linear equations, Courant-Snyder parametrization, and chromatic effects in accelerator physics.

Covers the Boltzmann equation's scattering term and carrier scattering, including phonons, electrons, photons, and molecules.

Covers the damped harmonic oscillator, introducing the field amplitude and coherent states.

Covers the definitions and dynamics of harmonic oscillators, including ladder operators and coherent states.

Covers the path integral method with a focus on a free particle example.

Explains correlated and uncorrelated sampling for generating random variables with given weight functions.

Covers the concept of density matrix for quantum states and its properties.

Explores squeezed states, quadrature representation, P-function, and Wigner function in quantum optics.

Explores electron emittance at synchrotrons and phase space characteristics.

Covers the Darcy problem, focusing on discretisations and the concept of coercivity.

Discusses implicit functions and the local existence theorem for finding solutions.

Covers the semiclassical approximation for spectral density and the Bohr-Sommerfeld quantization condition.