MU:MU08102 Termodynamics and Stat. Phys. - Course Information
MU08102 Termodynamics and Statistical Physics
Mathematical Institute in OpavaSummer 2011
- Extent and Intensity
- 2/2/0. 6 credit(s). Type of Completion: zk (examination).
- Guaranteed by
- prof. RNDr. Artur Sergyeyev, Ph.D., DSc.
Mathematical Institute in Opava - Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Mathematical Physics (programme MU, N1101)
- Course objectives
- In these lectures the thermodynamic principles are derived, as far as possible, from the principles of quantum mechanics of many particle systems, and the students are introduced to the basics of statistical physics.
- Syllabus
- Phase space, Hilbert space, distribution function, density matrix, Liouville equation.
Second quantization and the Fock space, ideal and non-ideal quantum gases, two-particle interaction.
Microcanonical, Gibbas canonical and macrocanonical ensembles, statistics of open systems.
The main thermodynamic theorems and their consequences, thermodynamic potentials, Maxwell relations, thermodynamic processes.
Maxwell-Boltzmann statistics: Maxwell-Boltzmann distribution, the width of spectral lines, equipartition theorem and the heat capacity, one-and diatomic ideal gas, relation between quantum and classical statistical physics, Gibbs paradox, paramagnetism and ferromagnetism.
Entropy and information: Entropy and its properties, Maxwell's demon, the link between thermodynamics and information theory, quantum computing.
Heat capacity of solids: the Dulong - Petit law, the Einstein model, the Debye
crystal model.
Bose-Einstein and Fermi-Dirac distributions, Bose-Einstein condensation of a bosonic gas,
black body radiation, and ideal degenerate fermionic gas. Fluctuations of energy and of the number of particles; fluctuations of thermodynamic quantities.
- Phase space, Hilbert space, distribution function, density matrix, Liouville equation.
- Literature
- Language of instruction
- Czech
- Further comments (probably available only in Czech)
- The course can also be completed outside the examination period.
- Teacher's information
- Oral exam; further requirements to be specified in the course of the semester.
- Enrolment Statistics (Summer 2011, recent)
- Permalink: https://is.slu.cz/course/sumu/summer2011/MU08102