Detailed Programme of the Week 10/16/2023 -- 10/20/2023:

-- Classical Fields

LECT 16 -- Monday 10/16/2023 - 1h Bonciani 15:00-16:00 (Amaldi)

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.
[L. Maiani and O. Benhar, "Relativistic Quantum Mechanics - An Introduction to Relativistic Quantum Fields"] [M. Maggiore, "Introduction to Quantum Field Theory"]

LECT 17-18 -- Tuesday 10/17/2023 - 2h Bonciani 8:00-10:00 (Amaldi)

Charged scalar field and global U(1) symmetry. 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 19-20 -- Friday 10/20/2022 - 2h Bonciani 8:00-10:00 (Amaldi)

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"]