Physics of Bose-systems (104 Physics and Astronomy)

Type: For the choice of university

Department: theoretical physics




SemesterAmount of hoursLecturerGroup(s)
916Professor Andrij RovenchakФзФм-51м

Laboratory works

SemesterAmount of hoursGroupTeacher(s)

Description of the academic discipline

Aims and objectives: provide with knowledge of physical phenomena in quantum liquids and gases as well as with relevant mathematical techniques. Main objectives are to analyze processes in Bose-systems and to learn the methods for studies of ideal bosons and diluted systems of laser-cooled atoms of alkali metals. These issues are of particular interest due to recent experimental advances in this area.

Intended capabilities: to know basic physical properties of Bose-systems and theoretical methods for studying them; to be capable of obtaining main relations for an ideal Bose-gas and using techniques of quantum field theory for studies of bosonic systems with interactions.

Description. The course covers the following topics: History of Bose-system studies; Ideal quantum gases (derivation of the distribution functions, thermodynamics of the ideal Bose-gas, ideal Bose-gas in an external field); Bose-systems with a finite number of particles; Gross–Pitaevskii equation; Bogoliubov’s method of approximate second quantization; Bose-systems with strong interactions; Physical grounds of experimental techniques for cooling and trapping atoms.

Recommended Literature

Reading list:

  1. N. N. Bogoliubov. Lectures on Quantum Statistics. Problems of Statistical Mechanics of Quantum Systems (New York: Gordon and Breach, 1967).
  2. Bose–Einstein Condensation, ed. by A. Griffin, D. W. Snoke, S. Stringari (Cambridge University Press, 1995).
  3. C. J. Foot. Atomic Physics (Oxford University Press, 2005).
  4. A. Griffin. Excitations in a Bose-condensed liquid (Cambridge University Press, 1993).
  5. L. D. Landau & E. M. Lifshitz. Statistical Physics (Oxford: Pergamon Press, 1980).
  6. C. Pethick & H. Smith. Bose–Einstein Condensation in Dilute Gases (Cambridge University Press, 2002).
  7. A. A. Rovenchak Physics of Bose-systems (Lviv University Press, 2015).


  1. JILA BEC & Ultracold Atoms
  2. Visualization of Bose-Einstein Condensates


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