National University of Science and Technology MISiS Courses

Materials Science and Engineering

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Materials Science and Engineering is an engineering course aimed at delivering fundamental knowledge and skills in materials science. It is a well-known fact that the key driver for technological progress was people’s aspiration for continuous improvement of the quality of life. As a result, the demand for new materials increased significantly and a lot of existing materials were upgraded. Materials Science is the very course that enables people to design and develop competitive products which form the basis of any modern manufacturing. Materials scientists and engineers are one of the most highly paid and in-demand specialists in our high tech age.In the Materials Science and Engineering course you will learn how to establish correlations between the composition, structure and properties of metal alloys and non-metal materials, as well as manage their mechanical, electrical, optical and magnetic properties, which is pivotal for the construction of new progressive materials.The course content is closely related to chemical, mechanical, electrical, computing, and bio- and civil engineering. This course considers:How the physical properties of metals, ceramics polymers and composites are correlated with their internal structures (on atomic, molecular, crystalline, micro- and macro- scales) and operational conditions (mechanical, thermal, chemical, electrical and magnetic).Microstructure and composition analysis methods, such as X-ray diffraction analysis and Transmission and Scanning Electron Microscopy.How materials processing, e.g. mechanical working and heat treatment, affects their properties and performance.The latest achievements in Materials Science and Engineering.The course is delivered by professor Alexander Mukasyan, whose exceptionally rich expertise in materials science and engineering will enable you to successfully acquire the essential basis of engineering education.You have two options when enrolling the course:By choosing the Audit track you get free access to all of the course materials including various problems that help to practice theoretical concepts. By pursuing the Verified Certificate you will not only receive an official certificate in case of successful course completion, but also get access to additional non-trivial problems.

Selected chapters of quantum mechanics for modern engineering

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The course is for physics majors.You will learn how to gain insight in contemporary fields in condensed matter physics.The main topics include:Bose-condensates and selected topics from superconductivity.Introduction to quantum information theory.Quantum computing algorithms.Quantum measurements and entanglement.Quantum teleportation.Aharonov-Bohm effect and its modern use.Eigenstate thermalization hypothesis.The course instructors are active researchers in a theoretical solid state physics. Armed with the tools mastered while attending the course, the students will have solid understanding of the principles of quantum mechanics, gain insight in contemporary fields in condensed matter physics.Week 1:History of quantum mechanics. Wave packet. Schrödinger equation. Properties of wave function, normalization. Averages and operators. Superposition of states, measurement, commutators. Schrödinger equationWeek 2:Infinite well. Delta-barrier, matching wave functions. Dirac’s bra-ket notation. Operators in Dirac’s notation, Hermitian conjugation. Harmonic oscillator via ladder operators.Week 3:Qubit and Bloch sphere. Quantum superposition of N qubits. Overview of quantum computing algorithms and their advantage as compared to classical algorithms. Quantum teleportation. Quantum decoherence of many-qubit system and quantum error correction. Physical realization of quantum computers: difficulties and advances.Week 4:Superconductivity: Discovery. Main Properties, Meissner's and Josephson's effect. Types of supercoductors, Vortices. Applications of superconductivity. Summary and theoretical explanation.Week 5:Modeling a realistic quantum system: resonant microwave cavity coupled to qubits array via the gauge-invariant quantum phases. Mapping on the infinitely coordinated Ising spin-chain of spins-½. Holstein-Primakoff representation. 1st-order quantum phase transition into dipolar ordered state. Metastable states of the spin-chain: bound states of light.Week 6:Emergence of instantonic ‘pairing boson’ and high-Tc superconductivity. Negative energy of the ‘antiferromagnetic’ instantons. Zero-mode of instantonic ‘crystal’ along Matsubara time axis as the ’pairing boson’ in the Eliasberg-like equations. Why AF instantons behave as a ‘hidden order’. Spin excitations of the instantonic ‘crystal’ — hourglass modes?.Week 7: Final Exam