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Linear and nonlinear quasiparticles in physical, chemical, and biological systems

ДВС.2.01.02

Вибіркова дисципліна для ОП

Second

2023/2024

3 Semester

3

The ability to build adequate models of chemical phenomena, to study them for obtaining new conclusions and deepening of understanding of nature, including using methods molecular, mathematical and computer modeling. Ability to organize, plan and implement a chemical experiment. The ability to interpret, objectively evaluate and present the results of one's work research. The ability to formulate new hypotheses and scientific problems in the field of chemistry, to choose directions and appropriate methods for their solution based on an understanding of modern issues research in the field of chemistry and taking into account the available resources. The ability to choose optimal research methods and techniques. Possession of the general methodology of carrying out scientific research.

• Have basic knowledge of higher mathematics • Knowledge of the basics of quantum mechanics, statistical physics, solid state physics

The course examines the main types of collective excitations in condensed media: phonons, polarons, polaritons, plasmons, excitons, magnons. Methods are considered quantum description of the corresponding excitations, and the approach to the description of the condensed medium as gas of quasiparticles. The features of highly nonlinear excitations are demonstrated by an example magnetic topological solitons (spinons, domain walls, vortices, skyrmions), solitons in polyacetylene, Davydov solitons. A brief overview of the main methods is given experimental study of collective excitations (neutron spectroscopy, optical and magnetic resonance methods).

[1] Chaikin P.M., LubenskyT.C., Principles of condensed matter physics (CUP, 1995) [2] M.S.Dresselhaus, G.Dresselhaus, R.Saito, and A.Jorio, Exciton Photophysics of Carbon Nanotubes, Annu. Rev. Phys. Chem. Vol.58, pp.719-747 (2007) [3] Р.Уайт, Квантовая теория магнетизма (М.: Мир, 1985) [4] R. Jackiw, Fractional Charge from Topology in Polyacetylene and Graphene (MIT Preprint, 2007) [5] Ч.Сликтер, Основы теории магнитного резонанса (М.: Мир, 1981) [6] L.V.Yakushevich, Nonlinear Physics of DNA (Wiley-VCH, 2004) – 190pp. [7] Hans-Jürgen Mikeska, Alexei K. Kolezhuk, One-Dimensional Magnetism (In: QuantumMagnetism, Editors: Ulrich Schollwöck, Johannes Richter, Damian J. J. Farnell, Raymod F. Bishop) SpringerLecture notes in Physics, vol. 645, pp.1-83 (2004)

lectures, practical

- semester assessment: 1. Modular control work: RN 1.1-1.2, 2.1 - 30 points/18 points. 2. Homework: RN 2.1, 3.1, 4.1 - 30 points/18 points. Total: 60 points/36 points. - final assessment: exam - 40 points/24 points.

Ukrainian