## Admission Requirements

Quantum Theory a

Bachelor of Physics with an introduction to solid state physics and (preferably) some knowledge on semiconductors and electron bands.

## Description

The course gives an introduction into the theory of collective quantum phenomena in condensed matter systems. Fundamental concepts such as long-range order, spontaneous symmetry breaking, elementary and topological excitations are introduced. Their use for the understanding of the physical properties of a system is explained on several examples such as crystalline solid, superfluid, normal metal and superconductor.

## Course objectives

- To provide students with a working knowledge of the mathematical framework of quantum many-body theory, including the second quantisation formalism, quantum statistical mechanics, linear response theory, and the mean-field theory. – To acquaint the students with the key ideas of quantum liquid phenomenology including spontaneous symmetry breaking, long-range order, elementary excitations, hydrodynamics, and the effective low-energy Hamiltonians. – To acquaint the students with basic physical characteristics of important quantum many-body systems and explain how their properties follow from the microscopic theory. – To prepare the students to reading modern professional literature on various aspects of quantum many-body physics.

## Timetable

## Mode of instruction

Lectures and tutorials

## Course load

## Assessment method

written examination with short questions

## Blackboard

Blackboard will be used for the provision of lecture notes, distribution of home assignment worksheets, and announcements.

To have access to Blackboard you need a ULCN-account.Blackboard UL

## Reading list A set of lecture notes prepared by the lecturer and

R. Feynman, Statistical Mechanics: A Set of Lectures

C. Kittel, Quantum Theory of Solids

D. Pines, Elementary Excitations in Solids

D.R. Tilley and J Tilley, Superuidity and Superconductivity

P. Nozieres and D. Pines, Theory of Quantum Liquids

M. Tinkham “Introduction to superconductivity”

## Contact

Contactdetails Teacher(s):Dr. V. Cheianov (Vadim)