Modern Quantum Theory From Quantum Mechanics to Entanglement and Quantum Information

Reinhold Bertlmann, Professor of Physics, University of Vienna,Nicolai Friis, Senior Postdoctoral Fellow, Atominstitut, TU Wien

Reinhold Bertlmann is a professor of physics at the University of Vienna. He studied technical physics at TU Wien and theoretical physics at the University of Vienna, obtaining his PhD in 1974. He then worked as a researcher in Vienna, at the JINR in Dubna, and at CERN. After his habilitation in theoretical physics in Vienna in 1981 he held visiting professorships in Marseille, at the University Paris-Sud and at the CNRS. From 1987 until his retirement in 2010 he was university professor at the University of Vienna, where he still teaches. He is the winner of the Václav Votruba Prize for best doctoral thesis in theoretical physics, awarded by the Doppler Institute for Mathematical Physics and Applied Mathematics in Prague, Czech Republic.


Nicolai Friis studied physics at the University of Vienna and completed his diploma thesis under Reinhold Bertlmann's supervision in 2010. He then went on to study at the University of Nottingham, obtaining his PhD in 2013. From 2013 to 2017 he worked as a postdoctoral researcher in Innsbruck at the Institute for Quantum Optics and Quantum Information (IQOQI) and at the University of Innsbruck. In 2017 he moved back to Vienna as a Senior Postdoc at IQOQI Vienna. After his habilitation in theoretical physics in 2022, he started working at the Institute of Atomic and Subatomic Physics of TU Wien.

PART I - QUANTUM MECHANICS
1. Wave-Particle Duality
2. The Time-Dependent Schrödinger Equation
3. Mathematical Formalism of Quantum Mechanics
4. The Time-Independent Schrödinger Equation
5. The Quantum Harmonic Oscillator
6. Orbital Angular Momentum
7. The Three-Dimensional Schrödinger Equation
8. Spin and Atomic Structure
9. Electromagnetism in Quantum Mechanics
10. Perturbative Methods in Quantum Mechanics
PART II - ENTANGLEMENT AND NON-LOCALITY
11. Density Matrices
12. Hidden-Variable Theories
13. Bell Inequalities
14. Quantum Teleportation
15. Entanglement and Separability
16. Quantification and Conversion of Entanglement
17. High-Dimensional Quantum Systems
18. Multipartite Entanglement
PART III - ADVANCED TOPICS IN MODERN QUANTUM PHYSICS
19. Entropy of Classical Systems
20. Quantum Entropy and Correlations in Quantum Information
21. Quantum Channels and Quantum Operations
22. Open Quantum Systems, Decoherence, Atom-Field Coupling
23. Quantum Measurements
24. Quantum Metrology
25. Quantum States of Light
26. Particle Physics - Bell Inequalities
27. Particle Physics - Entanglement & Decoherence