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Introduction to quantization

General data

Course ID:	1100-4ITQ
Erasmus code / ISCED:	(unknown) / (unknown)
Course title:	Introduction to quantization
Name in Polish:	Introduction to quantization
Organizational unit:	Faculty of Physics
Course groups:	(in Polish) Physics (Studies in English), 2nd cycle; courses from list "Topics in Contemporary Physics" (in Polish) Physics (Studies in English); 2nd cycle (in Polish) Przedmioty do wyboru dla doktorantów; Physics (2nd cycle); courses from list "Selected Problems of Modern Physics" Physics, individual path; elective courses
Course homepage:	http://www.fuw.edu.pl/~derezins
ECTS credit allocation (and other scores):	3.00 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. view allocation of credits
Language:	English
Main fields of studies for MISMaP:	mathematics physics
Prerequisites (description):	Elements of quantum and classical mechanics, linear algebra and mathematical analysis, as well as elementary knowledge of Hilbert spaces.
Mode:	Classroom
Short description:	Various aspects of quantization
Full description:	I will discuss various approaches to quantization. The course wil be mathematically rigorous, and at the same time elementary. It is a natural extension of the standard course in quantum mechanics. 1. Canonical commutation relations. 2. Basic types of quantization: Weyl, Kohn-Nirenberg, Wick and anti-Wick quantization. 3. Coherent states 4. Metaplectic group 5. Semiclassical quantization. 6. WKB method 7. Feynman path integrals in quantum mechanics 8. Second quantization
Bibliography:	J.Dereziński, C.Gerard: "Mathematics of Quantization and Quantum Fields", Cambridge University Press J.Dereziński: Introduction to quantization http://www.fuw.edu.pl/~derezins/quantize.pdf
Learning outcomes:	Knowledge: Familiarity with basic mathematical methods of quantum theory Skills: Solving problems using simple models of quantum theory Attitude: Precision of thinking and striving at deeper understanding of theoretical formalisms used in physics
Assessment methods and assessment criteria:	take home test, oral exam
Practical placement:	does not apply

Classes in period "Summer semester 2023/24" (in progress)

Time span:	2024-02-19 - 2024-06-16	Selected timetable range: weekly course term Navigate to timetable MO TU WYK W TH FR
Type of class:	Lecture, 30 hours more information
Coordinators:	Jan Dereziński
Group instructors:	Jan Dereziński
Students list:	(inaccessible to you)
Examination:	Examination

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