FYSS7630 Monen hiukkasen kvanttimekaniikka (12 op)

Opinnon taso:
Syventävät opinnot
Arviointiasteikko:
0-5
Suorituskieli:
englanti
Vastuuorganisaatio:
Fysiikan laitos
Opetussuunnitelmakaudet:
2024-2025, 2025-2026, 2026-2027, 2027-2028

Kuvaus

  • Second quantisation and Fock space

  • Time-ordering and evolution operators

  • Contour formalism for nonequilibrium systems

  • Many-body Green’s functions and Martin-Schwinger hierarchy

  • Feynman diagrams, skeleton graphs

  • Conserving many-body approximations

  • Kadanoff-Baym equations

  • Linear response theory

  • Spectral functions

  • Many-body applications to the electron gas 

Osaamistavoitteet

At the end of this course, students will be able to

  • Explain second quantisation, Fock space and field operators

  • Explain the connection between time-ordering and evolution operators

  • Describe the contour formalism for non-equilibrium systems

  • Explain the use of many-body Green’s functions and the Martin-Schwinger hierarchy equations

  • Do calculations with Feynman diagrams

  • Use linear response theory

  • Explain the concept of conservation laws in many-body language

  • Study various new topics in many-body theory

  • Write a report on a topic related to many-body theory 

Esitietojen kuvaus

Good knowledge of quantum mechanics.

Oppimateriaalit

Stefanucci & van Leeuwen: Non-equilibrium Many-Body Theory of Quantum Systems - A Modern Introduction.

Kirjallisuus

  • Stefanucci & van Leeuwen: Non-equilibrium Many-Body Theory of Quantum Systems - A Modern Introduction

Suoritustavat

Tapa 1

Kuvaus:
Given every two years.
Arviointiperusteet:
Grade is based on exercises and project report (e.g. exercises 50 % and report 50 %).
Valitaan kaikki merkityt osat
Suoritustapojen osat
x

Osallistuminen opetukseen (12 op)

Tyyppi:
Osallistuminen opetukseen
Arviointiasteikko:
0-5
Suorituskieli:
englanti

Opetus