Department of Theoretical Physics

  • About the Department
  • Employees
  • Courses
  • Lecturers' schedule
  • Teaching materials
  • Research
  • News

12, Drahomanov St.,
Lviv, UA-79005, Ukraine

The Department of Theoretical Physics was founded in 1872. Famous representatives of the scientific school include: Marian Smoluchowski, Stanisław Loria, Leopold Infeld, Wojciech Rubinowicz, Vasyl Milianczuk, Abba Glauberman, Samuil Kaplan, Ihor Yukhnovskii, Mykhailo Senkiv, Roman Gaida, Ihor Stasyuk, Lavrentiy Blazhyevskyi, Ivan Vakarchuk, Volodymyr Tkachuk.

Presently, the Department for Theoretical Physics conducts research in the following scientific fields: quantum information, quantum computers and quantum programming, quantum statistical physics, physical systems in quantized space, supersymmetry in quantum mechanics, classical inhomogeneous systems, history and philosophy of science, interdisciplinary studies.

The department organizes the annual scientific conference “Christmas Discussions” (January) and the Workshop on Current Problems in Physics (Zielona Góra, Poland – Lviv). It has links with scientists from Poland, Belgium, Austria, Slovakia, France, India.


ChairpersonVolodymyr TkachukChairperson
ProfessorKhrystyna GnatenkoProfessor
ProfessorAndrij RovenchakProfessor
Associate ProfessorOrest HryhorchakAssociate Professor
Associate ProfessorAndrij KuzmakAssociate Professor
Associate ProfessorVolodymyr PastukhovAssociate Professor
Associate ProfessorMykola SamarAssociate Professor
Associate ProfessorMykola StetskoAssociate Professor
LecturerYuri KrynytskyiLecturer
1st Category EngineerOlena Kiktyeva1st Category Engineer
Postgraduate StudentRostyslav KolesnykPostgraduate Student
Postgraduate StudentAnastasiia KryzhovaPostgraduate Student
Postgraduate StudentBohdana SobkoPostgraduate Student
Postgraduate StudentNataliia SusulovskaPostgraduate Student
Postgraduate StudentMykhailo TatarynPostgraduate Student
Postgraduate StudentSviatoslav TymykPostgraduate Student

Lecturers' schedule

Teaching materials

Syllabuses available in English:

Fundamental problems of quantum mechanics for the direction “Physics” (Master level)

Supersymmetry in quantum mechanics

Physics of Bose-Systems

Exotic Statistics




Research topics

Quantum statistical physics

  • Quantum liquids
  • Weakly-interacting Bose-systems
  • Fractional statistics

Physical systems in the quantized space

  • One-particle classical and quantum systems in the space with deformed Heisenberg algebra
  • Quantum systems with a position-dependent mass
  • Many-particle problems
  • Equivalence principle
  • Relativistic systems
  • Symmetries: Galilean and Lorentz transformations
  • Black holes

Supersymmetry in quantum mechanics

  • Exactly and quasiexactly solvable problems
  • Quantum-mechanical systems possessing supersymmetry
  • Quantum systems with a position-dependent mass
  • Quantum-mechanical analogy and supersymmetry in waveguides

Quantum information

  • Quantum brachistochrone
  • Generation of quantum states
  • Quantum topological phases
  • Entanglement of quantum states

Other topics

  • Classical inhomogenous systems
  • Weakly-relativistic statistical mechanics
  • Potential models of hadrons
  • History and philosophy of science
  • Interdisciplinary studies

Helium liquefaction at the Center for Nanotechnology and Low Temperatures

17.11.2023 | 17:43

On November 14, 2023, helium was liquefied (12 liters) at the Center for Nanotechnology and Low Temperatures, which made it possible to conduct physical experiments up to the boiling point of liquid helium: 4.2 K. Employees of the Center for Nanotechnology and Low Temperatures participated in the liquefaction process, Roman Sholubko, Yuriy Usatenko, Pavlo Buryak, and employee of the National People’s Republic of China Zinovai Pereyma.

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Workshop on Current Problems in Physics 2023

24.10.2023 | 21:41

The Workshop is a series of annual meetings organized alternatively by Ukrainian and Polish physicists to present the latest scientific results. Usually, the meetings are attended by representatives of other countries as well. An important feature of the conference is the possibility for young scientists to present their research results and interact with more experienced colleagues. The topics of the conference cover a broad range of subjects, from physics to astronomy in both theoretical and experimental fields.
Program of the conferense...

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Professors of the Faculty of Physics presented the results of research in the field of quantum information at the innovative conference Photonics Days Berlin Brandenburg 2023

19.10.2023 | 16:08

On October 9-12, 2023, the innovative conference Photonics Days Berlin Brandenburg 2023 was held in Berlin. The head of the theoretical physics department, prof. Volodymyr Tkachuk and Prof. Khrystyna Gnatenko. Prof. Volodymyr Tkachuk shared the results of studies of spin-1 tunneling on IBM’s quantum computer and new quantum algorithms for solving applied problems (topics of presentations “Studies of Spin-1 Tunneling on IBM’s Quantum Computer”, “New quantum algorithm for achieving quantum supremacy with development of multi-qubit quantum devices”). Prof. Khrystyna Gnatenko...

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Scientific quest for Schoolchildren «Dive into the world of science»

30.09.2023 | 09:06

On September 28, 2023, a scientific quest for young researchers of the secrets of our universe «Dive into the world of science» was held at the Ivan Franko Lviv National University. The event was organized by the Communal Institution of the Lviv Regional Council «Lviv Regional Small Academy of Sciences for Pupil Youthv together with LNU named after Ivan Franko and held as part of the regional after-school forum of the Department of Education and Science of the Lviv Regional...

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