| TFYA28 |
Quantum Dynamics, 6 ECTS credits.
/Kvantdynamik/
For:
MFYS
MSN
Y
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Prel. scheduled
hours: 64
Rec. self-study hours: 96
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Area of Education: Science
Main field of studies: Physics, Applied Physics
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Advancement level
(G1, G2, A): A
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Aim:
The main aim of the course is to give an exposition of the advanced concepts of quantum mechanics such as time-dependent perturbation theory, theory of many-particle systems, scattering theory, quantization of electromagnetic field and elements of relativistic quantum theory. After studying this course students should know:
- how to solve problems using such tools as state vectors and
evolution operators, Schrödinger, Heisenberg and Dirac picture,
non-pure states and density matrices
- the theory behind second quantization and some basic many-body systems
- the elements of scattering theory, quantization of electromagnetic field and relativistic quantum theory
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Prerequisites: (valid for students admitted to programmes within which the course is offered)
Quantum Mechanics, Modern physics
Note: Admission requirements for non-programme students usually also include admission requirements for the programme and threshhold requirements for progression within the programme, or corresponding.
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Supplementary courses:
Relativistic Quantum Mechanics, Particle Physics
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Organisation:
The course presented in the form of big seminars with theory and solution of problems
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Course contents:
Introduction and repetition. Wave packets. Group and phase velocity x-, p-, and N-representation. Change of bases. Closure. Spectral decomposition of operators. Unitary operators and trace. The evolution operator and its time-evolution. Schrödinger, Heisenberg and Dirac pictures. Time-dependent perturbation theory. Fermi's golden rule. Density operator. Pure and mixed states. Addition of angular momentum. Many particle systems. Hartree equations. Hartree-Fock equations. Density functional theory and the Kohn-Sham equations. Transport in two-dimensional semiconductor heterostructures. Second quantization or occupation number formalism. Tight-binding model and Hubbard model Scattering theory. Quantization of electromagnetic field. Interaction of matter with the light.Introduction to relativistic quantum mechanics. Klein-Gordon and Dirac equations. EPR-paradox and Bell's theorems.
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Course literature:
I.I. Yakymenko. Lecture Notes in Quantum Dynamics.
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Examination: |
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Hand-in exercises and oral presentation
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6 ECTS
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Course language is English.
Department offering the course: IFM.
Director of Studies: Magnus Johansson
Examiner: Iryna Yakimenko
Link to the course homepage at the department
Course Syllabus in Swedish
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