Study Guide@lith
 

Linköping Institute of Technology

 
 
Valid for year : 2016
 
TFYA28 Quantum Dynamics, 6 ECTS credits.
/Kvantdynamik/

For:   MFYS   MSN   Y  

 

Prel. scheduled hours: 64
Rec. self-study hours: 96

  Area of Education: Science

Main field of studies: Physics, Applied Physics

  Advancement level (G1, G2, A): A

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


    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.

    Supplementary courses:
    Relativistic Quantum Mechanics, Particle Physics

    Organisation:
    The course presented in the form of big seminars with theory and solution of problems

    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.

    Course literature:
    I.I. Yakymenko. Lecture Notes in Quantum Dynamics.

    Examination:
    Hand-in exercises and oral presentation
    6 ECTS
     



    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

    Linköping Institute of Technology

     


    Contact: TFK , val@tfk.liu.se
    Last updated: 05/17/2013