From Quantum Mechanics to Quantum Field Theory: operatorial and functional approaches.
by
Prof.Giacomo Gradenigo
(Gran Sasso Science Institute)
→
Europe/Rome
Description
Abstract
The aim of this course is to survey operatorial and functional approaches to quantum-many body systems and non-relativistic quantum field theory. We will first review the operatorial approach historically known as "second quantization", by showing how the Hamitonian for interacting bosons written in terms of quantum fields can be derived directly from the many-body Schrödinger equation. It will then be presented the famous path-integral functional approach to quantum mechanics by Feynman, from which the classical limit, \hbar -> 0, reads off in a particularly transparent and elegant way. The extension of the path-integral approach from quantum mechanics to quantum field theory. Among applications we will discuss the Bose-Einstein condensation of free bosons.
Schedule
May 12: 10:45 - 12:15 & 16:15 - 17.45 May 13: 9:00 - 10.30
