A course QUANTUM MECHANICS II , 7,5 points,
Short description:
The course contains an exposition of the advanced concepts of quantum
mechanics such as scattering theory, time-dependent perturbation theory,
theory of many-particle systems, quantization of electromagnetic field and
quasi-relativistic electron theory. The course requires the knowledge of
basic principles of quantum mechanics (courses: PhD course in Quantum
Mechanics I
or undergraduate course TFFY54), and mathematical
methods of physics (course TFYA18).
The course begins with the Green's function approach and Born
approximation
in the theory of scattering. Next, the general principles of quantum dynamics
are discussed with emphasis on the dynamics of a particle, including the
Feynman's path integral formulation and density matrix formalism. The great
deal of attention is paid to the time-dependent perturbation theory and its
applications in the particular case of harmonic perturbation. Further, the
creation and annihilation operators appear as the main heroes of the theory of
the systems of identical particles, and this theory is discussed up to such
its popular applications to the description of the many-body systems as the
Thomas-Fermi and Hartree-Fock approximations. At the end of the course the
quantization of electromagnetic field and the elements of the
relativistic electron theory are considered.
Course literature:
E. Merzbacher. Quantum mechanics, 3rd edition, John Wiley
and Sons, 1998.
Examination:
Solution of the home problems and oral exam.
More information about the course can be found on
in the file attached to this mail.
The course will be lead by Iryna Yakymenko ( e-mail: irina@ifm.liu.se),
If you want to follow the course register, please, by
e-mail:
irina@ifm.liu.se
You are welcome to participate!