Advanced quantum mechanics

Content (Syllabus outline):

F. Schwabl: Advanced Quantum Mechanics (Springer, 1999),
A. S. Davydov, Quantum Mechanics (Pergamon Press, 1970),
A. L. Fetter, J. D. Walecka, Quantum Theory of Many-Particle Physics (Mc Graw Hill, 1971),
M. Rosina, Višja kvantna mehanika (DMFA, 1995).

Mastering fundamental knowledge and theoretical methods for describing quantum systems with few or many degrees of freedom and application for description and analysis of real mesoscopic systms as quantum dots, quantum wires, thin layers etc.

Knowledge and understanding:
Fundamental theoretical descriptions to quantum systems of many particles.

Application:
The methods of advanced quantum mechanics are a basis for formulating the models of real physical systems and their theoretical and experimental treatment.

Reflection:
Example of application of the methods of advanced quantum mechanics and statistical physics for describing properties of materials and quantum many-body systems in condensed matter.

Transferable skills: Transfer between theoretical methods and understanding fundamental properties of quantum systems.

Lectures, seminar excercises, home work, tutorial.

Written exam
Oral exam.
grading: 1-5 (fail), 6-10 (pass) (according to the Statute of UL)

Spin-spin correlations of entangled qubit pairs in the Bohm interpretation of quantum mechanics,
A. Ramšak, J. Phys. A: Math. Theor. 45, 115310 (2012).

Exact nonadiabatic holonomic transformations of spin-orbit qubits,
T. Čadež, J.H. Jefferson, and A. Ramšak, Phys. Rev. Lett. 112, 150402 (2014).

Open XXZ Spin Chain: Nonequilibrium Steady State and a Strict Bound on Ballistic Transport,
T. Prosen, Phys. Rev. Lett. 106, 217206 (2011).

Exact Nonequilibrium Steady State of an Open Hubbard Chain,
T. Prosen, Phys. Rev. Lett. 112, 030603 (2014).