These lecture notes provide an introduction to quantum cluster methods for strongly correlated systems. Cluster Perturbation Theory (CPT), the Variational Cluster Approximation (VCA) and Cellular Dyna . . . . .
Game theory is one of the key paradigms behind many scientific disciplines from biology to behavioral sciences to economics. In its evolutionary form and especially when the interacting agents are lin . . . . .
A didactic description of the thermodynamic properties of classical spin systems is given in terms of their quantum counterpart in the Hamiltonian limit. Emphasis is on the construction of the relevan . . . . .
In 1996 Lee, Osheroff and Richardson received the Nobel Prize for their 1971 discovery of superfluid helium 3 -- a discovery which opened the door to the most fascinating system known in condensed mat . . . . .
The physics of Anderson transitions between localized and metallic phases in disordered systems is reviewed. The term Anderson transition is understood in a broad sense, including both metal-insulator . . . . .
Contents: Non-linear optics: Introduction; Second harmonic generation; The optical parametric oscillator; Quantum theory of the nonlinear susceptibility; Coherent Raman Scattering in Gases; The produ . . . . .
The random-phase approximation (RPA) as an approach for computing the electronic correlation energy is reviewed. After a brief account of its basic concept and historical development, the paper is dev . . . . .