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.
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. 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.

• 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 and Decoherence


• Free

Aimed at university students, as well as academic and industry researchers, this textbook is an introduction to quantum theory, covering the development of the field from the early stages of quantum mechanics to modern quantum information, with a focus on entanglement theory.