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The investigations in the field of quantum theory of solids at ICMP are active since 70ss and first were aimed to develop the phase transitions theory as well as to describe the various phenomena in ferroelectric materials with the help of microscopic models with short-range interactions utilizing X-operators approach R. Levitskii, I. V Stasyuk. One of the first accomplishments was the development of microscopic theory of induced optical effects in dielectric crystals electrooptical and piezooptical effects, electro and piezo-gyration, magneto-optical effect that helped to describe and predict the anomalies of optical properties in the vicinity of structural and ferroelectric phase transitions I.

Stellar: Physics (Course 8)

V Stasyuk, S. Kotsur, R. Stetsiv, O. The ongoing investigations were focused on the problems of microscopic description of phase transitions and physical effects induced by short-range correlations in electronic systems with metal-insulator transition and valency-changing, high-temperature superconductors, crystals and molecular systems with hydrogen bonds, ferroelectrics, magnetics, ionic conductors and intercalated crystal structures I.

Stasyuk, A. Shvaika, R. Levitskii, O. Derzhko, T. Krokhmalskii, T. Verkholyak, N. Pavlenko, A.

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Moina, Ya. Shchur, O. Introduction to biophysics — working principles of common biophysical models; chemical bonds; structure and dynamics of biomolecules. Structure calculations and computer simulations. Thermodynamics and kinetics of molecular interactions. Single-molecule biophysics. Physics and medicine. Scattering theory — formulation of scattering experiments; Born approximations; Green's function methods; bound and free states; resonances; Fermi's golden rule.

Many-body quantum mechanics — quantum postulates for many-body systems; quantum entanglement; the Einstein-Podolsky-Rosen paradox and Bell's inequalities; the many-worlds interpretation of quantum mechanics. Identical particles — exchange symmetry; bosons and fermions; creation and annihilation operators, and second quantization; coherent states; the Pauli exclusion principle; quantum field theories. Quantum electrodynamics — the electromagnetic Hamiltonian; gauge symmetry and the Aharanov-Bohm effect; Dirac's equation; quantization of the electromagnetic field; photons; electromagnetic radiation; electromagnetic shifts of electronic energy levels.

Basic theories and models for condensed-matter physics — approaches to the many-body problem; collective phenomena. Structure and bonding - order and disorder; types of bonding and structure; electrons in periodic potentials; the Bloch theorem; tight-binding models; 1D chain models; band structures of real materials; optical transitions and photoemission. Interactions — effective medium approximations for electron-electron interactions; Hartree-Fock theory; exchange and correlation energy; electron fluids and electrostatic screening; the exclusion principle and quasiparticles.

Transport and scattering — crystal momentum; neutron scattering; electron-phonon scattering; optical conductivity; Drude theory, plasmons; transport in electric and magnetic fields; quantization of orbits, cyclotron resonance; the de Haas-van Alphen effect; Fermi surfaces; magnetoresistance oscillation; the quantum Hall effect. Semiconductors — thermal equilibrium of quasiparticles; field effect transistor; p-n junctions, LED; excitons; semiconductor heterostrutures; quantum wells; semiconductor lasers. Magnetism — origin of magnetic moments and interactions; ferromagnetism; itinerant magnetism; the Stoner model; strongly interacting systems; Mott insulators.

PH - Surfaces and Interfaces. Thermodynamics of surface phenomena — electronic structures; phase transitions; elementary excitations; physisorption and chemisorption; energy transfer. Schottky barrier and band offsets in semiconductors; band engineering. Analytical techniques — scanning tunneling microscopy; electron diffraction methods; photoemission; ballistic electron emission microscopy. PH - Nanoscale Physics. Electron gases in 2D and multilayer systems.

Quantum transport in 1D — magnetotunneling; quantum capacitance; quantum conductance.

Quantum dots and artificial atoms — eigenenergies and eigenstates; single particle conductance; Coulomb blockade; Kondo effect; the Aharanov-Bohm effect. PH - Nuclear Physics. Properties of nuclei — nuclear radii, masses, and abundances; binding energies; spins and electromagnetic moments.

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Nuclear structure — deuterons; nucleon-nucleon scattering and exchange forces; the semi-empirical mass formula; the Fermi gas model; the shell model; liquid drop models with vibrational and rotational excitations; collective structure. Selection rules for alpha, beta and gamma decay processes. Nuclear lifetimes; applications of nuclear physics including fusion and fission processes. Nuclear reactors and nuclear power — neutron difussion and moderation; radiation protection and radiation shielding; safety and the environment.

Classical linear and nonlinear optics; statistical optics. Quantum optics — physics of photoncs; semiclassical and quantum models of light-matter interaction; lasers; generation of short laser pulses. PH - Econophysics. Introductory concepts — basic concepts in probability and statistics; low- and high-frequency data in economics and finance; Gaussian and fat-tailed return distributions. Time series — autocorrelations, memory, and nonstationarity; cross correlations in financial markets; time series clustering.

Random matrix theory. Correlation filtering and minimal spanning trees. Agent-based models of financial markets. Common models of nuclear and high energy particle physics — the Standard Model of quarks, leptons and the fundamental interactions; tests of conservation laws; indications of physics beyond the Standard Model. Current and future experimental challenges — data volume and computing problems; online collision selection; data analysis.

Magnetic recording — components of magnetic recording media; recent developments. Prerequisites: PH and PH or equivalent. Data structures for scientific programming — arrays; runtime and memory scaling analysis; numerical linear algebra; numerical eigenvalue problem solvers. Monte Carlo method for statistical mechanics simulation. Optimization and data analysis. Discretization schemes — finite-difference methods; sparse matrices; numerical integration; discrete Fourier transforms.

Thermodynamic systems in equilibrium — Boltzmann and Gibbs entropy; configurational entropy and defects; mcrocanonical, canonical and grand canonical ensembles; paramagnetic salts; negative temperature s; f luctuations in energy, particle number and volume; critical opalescence.

Classical and quantum models — indistinguishability; the equipartition theorem; the grand partition function; Fermi-Dirac and Bose-Einstein statistics; the quantum to classical crossover; chemical equilibrium and Langmuir isotherms. Quantum fluids — the Ideal Bose gas and Bose-Einstein condensation; quantum liquids; black-body radiation; phonons and the Debye model; ideal Fermi gases; normal modes and elementary excitations of quantum fluids.

Classical liquids — radial distribution function; internal energy and equation of state; virial expansion. PH - Atmospheric Physics. Basic properties of the atmosphere — temperature structure; potential temperature; entropy models; hydrostatic balance and geopotential; pressure coordinates. Radiative balance of the Earth — radiative transfer; ozone-layer; the greenhouse effect.

Thermal convection; adiabatic lapse rate; moist adiabat; radiative-convective equilibrium. The Antarctic ozone hole; global warming and climate change. Electromagnetism and special relativity. Emission of electromagnetic radiation by electric charges. The scattering of charged particles by the electromagnetic field. PH - Topics in Physics. PH - Introduction to General Relativity. Discuss cutting-edge theories and research papers in fundamental theoretical physics 2.

Analyze problems in physics using advanced theorectical and mathematical skilss and techniques 3. Conduct research on the latest topics in theorectical physics Prerequisite: division approval. Semiconductor physics — electronic band structures of semiconductors; electronic properties of defects; charge carrier concentrations; drift of carriers in electric and magnetic fields; diffusion and recombination of excess carriers; p-n junction physics; junction diodes; tunnel diodes; bipolar junction transistors; metal-semiconductor contacts; metal-insulator-semiconductor interfaces; MOSFET and advanced FinFET.

Magnetic materials and devices — origins of magnetism; ferromagnetism; magnetisation-reversal processes; magnetic domain walls; soft and hard magnetic materials; giant magnetoresistance; tunnelling magnetoresistance; magnetic random access memory MRAM ; magnetic recording media.


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Basic principles — atomic and molecular forces; hard-core repulsion; physics of polymers. Physics of non-ideal fluids — diffusion; electrostatics in solution; Poisson-Boltzmann theory; electrophoresis; liquid interfaces and droplets. Physics of complex matter — lipid bilayers and vesicles; membrane fluctuations, cell mechanics; colloids; liquid crystal phases; aggregates; viscoelasticity.

Experimental methods — dynamic light scattering; self-assembling processes; fluorescence correlation spectroscopy; laser tweezers; tracking experiments. PH - Medical Physics for Radiotherapy.

PH - Fundamentals and Applications of Acoustics. Introduction to acoustics — the wave equation; reflection processes; equivalent network modes; pistons; the Rayleigh integral. Solutions to the wave equation — sound speed profiles; 2D parabolic wave equation; underwater acoustic modelling; sound propagation in the ocean. Sonar equations — reflection, scattering, and backscattering processes; sonar systems and their applications in target detection and ranging.

Bioacoustics — s ound generation and sound perception in human beings; frequency resolution of the cochlea; sound propagation; transmission losses; sound exposure levels and impacts on marine environments; technological applications. Medical ultrasound — introduction to diagnostic ultrasound; sound emission from bubbles; therapeutic ultrasound. Prerequisite: PH or CM Discuss cutting-edge experimental techniques and data analysis in frontier applications in applied physics.

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Employ advanced experimental skilss and data analysis techniques conducting research Prerequisite: division approval. PH - Final Year Project for students admitted in or earlier. PH - Industrial Internship I for students admitted in or earlier. PH - Professional Attachment for students admitted in PH - Professional Internship for students admitted in PH - Final Year Project for students admitted in to PH -Professional Attachment for students admitted in and after.

PH - Professional Internship for students admitted in and after.