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Advanced Quantum Mechanics of Many-Body Systems

General data

Course ID:	1100-4AQMMBS
Erasmus code / ISCED:	13.2 Kod klasyfikacyjny przedmiotu składa się z trzech do pięciu cyfr, przy czym trzy pierwsze oznaczają klasyfikację dziedziny wg. Listy kodów dziedzin obowiązującej w programie Socrates/Erasmus, czwarta (dotąd na ogół 0) – ewentualne uszczegółowienie informacji o dyscyplinie, piąta – stopień zaawansowania przedmiotu ustalony na podstawie roku studiów, dla którego przedmiot jest przeznaczony. / (0533) Physics The ISCED (International Standard Classification of Education) code has been designed by UNESCO.
Course title:	Advanced Quantum Mechanics of Many-Body Systems
Name in Polish:	Advanced Quantum Mechanics of Many-Body Systems
Organizational unit:	Faculty of Physics
Course groups:	(in Polish) Physics (Studies in English), 2nd cycle; courses from list "Advanced Quantum Mechanics" (in Polish) Physics (Studies in English); 2nd cycle Physics (2nd cycle); courses from list "Advanced Quantum Mechanics"
ECTS credit allocation (and other scores):	6.00 Basic information on ECTS credits allocation principles: the annual hourly workload of the student’s work required to achieve the expected learning outcomes for a given stage is 1500-1800h, corresponding to 60 ECTS; the student’s weekly hourly workload is 45 h; 1 ECTS point corresponds to 25-30 hours of student work needed to achieve the assumed learning outcomes; weekly student workload necessary to achieve the assumed learning outcomes allows to obtain 1.5 ECTS; work required to pass the course, which has been assigned 3 ECTS, constitutes 10% of the semester student load.
Language:	English
Main fields of studies for MISMaP:	physics
Prerequisites (description):	Knowledge of classical mechanics, quantum mechanics, electrodynamics, basis of statistical physics and thermodynamics, complex variable calculus, differential and integral calculus, matrix calculus, Fourier transforms.
Mode:	Classroom
Short description:	The goal of this course is to introduce students to the mathematical formalism of non-relativistic quantum mechanics of many-body systems as well as give an overview of applications in condensed-matter physics.
Full description:	1. Quantum mechanics of many-body systems; fermions and bosons. 2. Second quantization; field operators. 3. Green's and correlation functions and their applications. 4. Spontaneous symmetry breaking, mean-field theory. 5. Perturbation theory, Feynman diagrams. 6. Linear response theory. 7. Electromagnetic field quantization.
Bibliography:	A.L. Fetter, J.D. Walecka, Quantum Theory of Many-Particle Systems H. Bruus, K. Flensberg, Many-Body Quantum Theory in Condensed Matter Physics A. Altland, B. Simons Condensed Matter Field Theory J.W. Negele, H. Orland, Quantum many-paricle systems R.D. Mattuck, A guide to Feynman diagrams in the many-body problems S.M. Barnett, Quantum information
Learning outcomes:	Knowledge: - knowledge of second quantization formalism - knowledge of Green's functions and correlation functions Skills: - solving stndard problems of nonrelativistic quantum mechanics of many-body systems - description of physical phenomena in terms of simple mathematical models and correlation functions - solving problems using field operators
Assessment methods and assessment criteria:	- written test - written exam - oral exam

Classes in period "Winter semester 2023/24" (past)

Time span:	2023-10-01 - 2024-01-28	Selected timetable range: weekly course term Navigate to timetable MO WYK TU W TH CW FR
Type of class:	Classes, 30 hours more information Lecture, 30 hours more information
Coordinators:	Witold Bardyszewski
Group instructors:	Witold Bardyszewski
Students list:	(inaccessible to you)
Examination:	Course - Examination Lecture - Examination

Classes in period "Winter semester 2024/25" (future)

Time span:	2024-10-01 - 2025-01-26	Selected timetable range: weekly course term Navigate to timetable MO WYK TU W TH CW FR
Type of class:	Classes, 30 hours more information Lecture, 30 hours more information
Coordinators:	Paweł Jakubczyk
Group instructors:	Paweł Jakubczyk
Students list:	(inaccessible to you)
Examination:	Course - Examination Lecture - Examination

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