Servizi per la didattica

PORTALE DELLA DIDATTICA

01MLOKG

A.A. 2019/20

Course Language

Inglese

Course degree

Doctorate Research in Physics - Torino

Course structure

Teaching | Hours |
---|---|

Lezioni | 30 |

Teachers

Teacher | Status | SSD | h.Les | h.Ex | h.Lab | h.Tut | Years teaching |
---|---|---|---|---|---|---|---|

Penna Vittorio | Professore Associato | FIS/03 | 30 | 0 | 0 | 0 | 9 |

Teaching assistant

Context

SSD | CFU | Activities | Area context |
---|---|---|---|

*** N/A *** |

2019/20

PERIOD: NOVEMBER - JANUARY
This course presents the quantum-field theory approach to many-body systems. The main topics discussed are: the lagrangian/hamiltonian formulation of classical mechanics and the Hamilton approach to classical field theory, the quantization of nonrelativistic Schroedinger equation and the definition of creation, destruction, and number operators, the properties of bosonic/fermionic fields (and, in particular, the notion of Fermi-Dirac and Bose-Einstein statistics, the Pauli principle and the spin-statistics theorem), and the Bose-Einstein gas of interacting particles within the Bogoliubov scheme. The field-theory approach is then applied to derive the Bose-Hubbard model currently employed to describe condensed bosons trapped in optical lattices. Finally, the statistical-mechanics approach to the ideal Bose-Einstein and Fermi-Dirac gases is discussed.

PERIOD: NOVEMBER - JANUARY
This course presents the quantum-field theory approach to many-body systems. The main topics discussed are: the lagrangian/hamiltonian formulation of classical mechanics and the Hamilton approach to classical field theory, the quantization of nonrelativistic Schroedinger equation and the definition of creation, destruction, and number operators, the properties of bosonic/fermionic fields (and, in particular, the notion of Fermi-Dirac and Bose-Einstein statistics, the Pauli principle and the spin-statistics theorem), and the Bose-Einstein gas of interacting particles within the Bogoliubov scheme. The field-theory approach is then applied to derive the Bose-Hubbard model currently employed to describe condensed bosons trapped in optical lattices. Finally, the statistical-mechanics approach to the ideal Bose-Einstein and Fermi-Dirac gases is discussed.

Course contents:
The Lagrange and Hamilton formulation of classical dynamics;
Hamilton approaches to Classical field theory.
Nonrelativistic quantum field theory of many-body systems: Quantization of Schroedinger equation; the N representation, creation, destruction and number operators.
Properties of bosonic and fermionic fields; Bose-Einstein and Fermi-Dirac statistics;
Pauli principle and spin statistics theorem;
From many-body systems to quantum field theory; nearly-ideal, degenerate BE gases: Bogoliubov approach; superfluidity.
The Bose-Hubbard model for condensed bosons trapped in optical lattices.
Statistical mechanics of ideal Bose-Einstein and Fermi-Dirac gases.

Course contents:
The Lagrange and Hamilton formulation of classical dynamics;
Hamilton approaches to Classical field theory.
Nonrelativistic quantum field theory of many-body systems: Quantization of Schroedinger equation; the N representation, creation, destruction and number operators.
Properties of bosonic and fermionic fields; Bose-Einstein and Fermi-Dirac statistics;
Pauli principle and spin statistics theorem;
From many-body systems to quantum field theory; nearly-ideal, degenerate BE gases: Bogoliubov approach; superfluidity.
The Bose-Hubbard model for condensed bosons trapped in optical lattices.
Statistical mechanics of ideal Bose-Einstein and Fermi-Dirac gases.

© Politecnico di Torino

Corso Duca degli Abruzzi, 24 - 10129 Torino, ITALY

Corso Duca degli Abruzzi, 24 - 10129 Torino, ITALY