QUANTUM PROTECTORATE AND MICROSCOPIC MODELS OF MAGNETISM

Simulation of Pedestrian Dynamics with Macroscopic and Microscopic Mathematical Models

Here, we collect two parts of a research project on the pedestrian flow modeling. Rapid growth in the volume of public transport and the need for its reasonable, efficient planning have made the description and modeling of transport and pedestrian behaviors as important research topics in the past twenty years. First, we present a macroscopic model for the pedestrian flow based on continuum mec...

Quantum magnetism and criticality

Magnetic insulators have proved to be fertile ground for studying new types of quantum many body states, and I survey recent experimental and theoretical examples. The insights and methods transfer also to novel superconducting and metallic states. Of particular interest are critical quantum states, sometimes found at quantum phase transitions, which have gapless excitations with no particleor ...

Mesoscopic magnetism and quantum chaos

All seven physics STAIRSTEP students and 15 undergraduate students have participated to a talk about the orbital magnetic susceptibility of electrons in a rectangular box. Mesoscopic systems, such as small metal particles and quantum dots, exhibit many novel properties due to the coherent effect and finite-size quantization. In the mesoscopic regime, magnetic properties are sensitive to whether...

Quantum Theory of Molecular Magnetism

3 Magnetism: Models and Mechanisms