Theoretical physics provides the tools for understanding modern theories of fundamental interactions.
Provide the student with the basics of relativistic electrodynamics and familiarize him with mechanics the quantum systems of many bodies treated in the second quantization.
To provide the student with the methods to understand (1) the formulation of mechanics based on the principle of minimum action and the relationship between symmetries and laws of consecration; (2) the general theory of the scalar, vectorial and spinorial fields in Minkowski space-time; (3) the covariant formulation of classical electrodynamics; (4) the quantum theories of many-body systems and the second quantization method; (5) the basic principles of quantum electrodynamics with applications to quantum optics; (6) relativistic wave equations with particular reference to the Dirac equation. The expected learning outcomes relate to the student's ability to perform calculations and solve (quantitatively) problems on the 6 points indicated above.
Non-relativistic quantum mechanics and mathematical methods of basic physics.
Traditional
Role of action in classical mechanics Lagrange function and Euler-Lagrange equations Hamilton function and canonical equations Continuous systems and local fields Hamilton's action principle for particles and local fields Symmetries Rotations and tensors Rotations and spinors Continuous symmetries and Noether theorem for particle systems Continuous symmetries and Noether theorem for local fields Gauge invariance Aharonov-Bohm effect Relativistic invariance Inertial systems, Newton's first law and Lorentz transformations Lorentz transformations and tensors Lorentz transformations and spinors Correspondence between Lorentz and transformations SL(2, C) Spinor as a 4-vector light type Spatial inversion and chirality
Relativistic fields Differential and integral operations on tensor fields Scalar field Maxwell field Weyl and Dirac fields Classic linear systems Analysis in normal ways of the scalar field Analysis in normal ways of the Maxwell field Spectral distribution of radiation in a cavity Quantum linear systems The quantum harmonic oscillator Weyl operator Coherent states Linear response, Kubo formula and interaction representation Quantum Klein-Gordon field The real scalar field A quantum analogue of the normal rope mode Commutations relations and Feynman propagator Maxwell quantum field The electromagnetic field as a quantum system Casimir effect Rudiments of quantum optics Stimulated emission Spontaneous emission Photon detectors Correlation and interference functions General formalism of second quantization Second quantization of the Schrödinger field Operators in second quantization Dynamics of bosons and fermions Quasi-particles and holes for a system of fermions Interaction between fermions mediated by bosons Second quantization of the Dirac field
Landau - Lifsits Fisica Teorica 2 - Field Theory
Landau - Lifsits Fisica Teorica 4 - Relativistic Quantum Theory
Ballentine - Quantum Mechanics
Ricevimento: At 2 pm on lesson days
PIERANTONIO ZANGHI' (President)
NICOLA MAGGIORE
NICODEMO MAGNOLI
From 25 September 2017
THEORETICAL PHYSICS
Written test; possible oral exam.
The aim of the course is to provide students with the ability to perform calculations and solve (quantitatively) problems. For this reason, the fundamental component of the exam is written, in which the student is asked to demonstrate his ability to calculate and explicitly solve problems. After many years of teaching, it is my belief that the oral examination may constitute only a small correction to the judgment that comes from the writing. It must be emphasized that it is not at all obvious that this correction must be in a positive sense. For this reason, the student can request to have the written grade confirmed as final grade.
