Detailed Programme of the Week 10/24/2022 -- 10/28/2022:

-- Classical Fields

LECT 22-23 -- Tuesday 10/25/2022 - 2h Bonciani 14:00-16:00 (Aula7)

Klein-Gordon (KG) Equation. Motivations. Recapitulation of Schroedinger's Equation and non relativistic QM point of view. The scalar product in L2 and its time independence. Covariance of the KG equation. Scalar product for the KG field and probability density not positive definite. Lagrangian and Hamiltonian of the KG field. Charged scalar field and global U(1) symmetry.
[L. Maiani and O. Benhar, "Relativistic Quantum Mechanics - An Introduction to Relativistic Quantum Fields"] [M. Maggiore, "Introduction to Quantum Field Theory"]

LECT 24-25 -- Thursday 10/27/2022 - 2h Bonciani 14:00-16:00 (Aula7)

Conserved charge and scalar product. Plane wave solutions of the KG equation. Positive and negative energy solutions. Normalization of the solutions. General solution as superposition of positive and negative energy solutions. [L. Maiani and O. Benhar, "Relativistic Quantum Mechanics - An Introduction to Relativistic Quantum Fields"] [M. Maggiore, "Introduction to Quantum Field Theory"]

LECT 26 -- Friday 10/28/2022 - 1h Bonciani 8:00-9:00 (Aula7)

Hamiltonian in terms of creation and annihilation operators. Non-relativistic limit of the Klein-Gordon equation: spinless Schroedinger equation. [W. Greiner, "Relativistic Quantum Mechanics"] [F. Gross, "Relativistic Quantum Mechanics and Field Theory"]