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Course Code : | 2001WETSCF |

Study domain: | Physics |

Academic year: | 2020-2021 |

Semester: | 1st semester |

Contact hours: | 45 |

Credits: | 6 |

Study load (hours): | 168 |

Contract restrictions: | No contract restriction |

Language of instruction: | English |

Exam period: | exam in the 1st semester |

Lecturer(s) | Jacques Tempere |

At the start of this course the student should have acquired the following competences:

an active knowledge of

general notion of the basic concepts of

specific prerequisites for this course

an active knowledge of

- Dutch

- English
- other languages

- general knowledge of the use of a PC and the Internet

general notion of the basic concepts of

You will need to make graphs of your results on a computer. Also, you need to be able to find the roots of equations numerically and to do a numerical integration.

specific prerequisites for this course

Knowledge of:

Basic quantum mechanics

Statistical physics of ideal gases

Mathematical methods of physics

- You know (1) the concepts, (2) the basic properties, (3) the phenomenological theory and (4) the microscopic theory of (a) Bose-Einstein condensed quantum gases, (b) superfluid helium-4 and (c) conventional superconductors.
- You are able to formulate microscopic and phenomenological models for phenomena linked to superfluids and superconductors.
- You are able to use the appropriate theoretical formalism (Gross-Pitaevskii equation, two-fluid model, Bogoliubov theory, Ginzburg-Landau theory, or BCS theory) to make a quantitative analysis and calculate properties (such as critical velocity, vortices, dynamics, josephson effect, density profile, critical temperature,...) of superfluids and superconductors.

This course is divided in three major parts. In the first section, we focus on ideal or weakly interacting Bose gases, and in particular on the recent developments regarding Bose condensation in dilute, magnetically trapped clouds of alkali gases. This will lead us from Einstein's seminal papers to the Gross-Pitaevskii equation.

In the second section, we investigate the case of strongly interacting Bose gases, using superfluid liquid helium as our subject. The Bogoliubov theory and Feynmans papers on liquid helium and the lambda transition are discussed.

Finally, we turn to superconductivity in the third section of the course, introducing both the BCS and Ginzburg-Landau descriptions. Low temperature superconductors will be the main focus of this section, although also helium-3, high-temperature superconductivity and superfluid dilute fermi gases will be discussed.

The course has an international dimension.

Class contact teachingLectures Practice sessions Seminars/Tutorials

Personal workAssignments Individually

**5.3 Facilities for working students ***

Others

Personal work

Others

Separate contact moments are possible after making an appointment. The exercises done in self-study can be discussed after appointment. Appointments can be made outside regular office hours.

Continuous assessmentParticipation in classroom activities

Written assignmentWith oral presentation

Written assignment

Your own notes taken during class.

Printed course notes are available at the reprography, and copies of the powerpoint presentations (in English) are available on blackboard.

Most material that we cover can also be found in:

J.F. Annet, Superconductivity, Superfluids and Condensates (Oxford University Press, 2004).

C.J. Pethick en H. Smith, Bose-Einstein Condensation in Dilute Gases, second edition (Cambridge University Press, 2008).

D.R. Tilley en J. Tilley, Superfluidity and superconductivity (Institute of Physics Publishing, 1994).

M. Tinkham, Introduction to Superconductivity : Second Edition (Dover Publ., 2004).

Prof.dr. Jacques Tempere

Physics department CDE, office N0.17

tel: 03/265.2866