Detailed Programme of the Week 09/19/2022 -- 09/23/2022:

-- Introduction and Continuum limit of discrete systems

LECT 1-2 -- Thursday 09/22/2022 - 2h Bonciani 14:00-16:00 (Conversi)

Info about the course and the exam. General introduction. Non relativistic Quantum Mechanics and Schoedinger's equation. Wave function and probability density. Description of a single particle state at low energies. The need to include Special Relativity. The Klein-Gordon equation as a relativistic wave equation. Probability density. Negative energy solutions. Attempts to get a correct relativistic wave equation. Dirac's equation. Probability density. Negative energy solutions. Hole theory and the positron. Multi particle formalism. Energy and mass. Classical Electrodynamics. Wave equations as the correct classical field equations. Second quantization.

LECT 3 -- Friday 09/23/2022 - 1h Bonciani 8:00-9:00 (Conversi)

Chain of N harmonic oscillators. Equations of motion, Lagrangian and Hamiltonian. Normal modes. [Henley-Thirring]