Exotic statistics (104 Physics and Astronomy)

Type: For the student's choice

Department: theoretical physics


SemesterAmount of hoursLecturerGroup(s)
1116Professor Andrij Rovenchak

Laboratory works

SemesterAmount of hoursGroupTeacher(s)

Description of the academic discipline

Aims and objectives: acquainting students with physical models that can be described using quantum statistical distributions different from the traditional Fermi–Dirac and Bose–Einstein distributions. The main objectives are to analyze fractional Gentile statistics, nonextensive Tsallis statistics, anyon statistics, and some others in terms of statistical physics and quantum mechanics. Relevant issues are relevant in the study of low-dimensional (one- and two-dimensional) systems.

Intended capabilities: to know the basic physical models in which fractional statistics arise, and theoretical approaches to their study; to be able to get the basic relations to describe systems with fractional statistics in statistical-mechanical and quantum-mechanical approaches, find the relationship between the parameters introduced in various types of statistics.

Students of the course need knowledge from the courses of quantum mechanics, statistical physics, and quantum statistics.



  1. Isihara, A. Statistical Physics (Academic Press, 2013).
  2. Rovenchak, A. Exotic statistics (Lviv University Press, 2018.
  3. Rovenchak, A. Bose-statistics and fractional types of statistics in the many-body theory and related problems (Lviv University Press, 2019).
  4. Hamermesh, M. Group Theory and Its Application to Physical Problems (Dover Publications, 1989).
  5. Khare, A.  Fractional statistics and quantum theory (Singapore: World Scientific, 2005).


  1. Anyon Physics of Ultracold Atomic Gases
  2. Nonextensive Statistical Mechanics and Thermodynamics
  3. Wolfram MathWorld
  4. Wikipedia


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