\BOOKMARK [0][-]{chapter.1}{Monte-Carlo-Simulationen des Ising-Modells}{}
\BOOKMARK [1][-]{section.1.1}{Statistische Eigenschaften von Zeitreihen}{chapter.1}
\BOOKMARK [2][-]{subsection.1.1.1}{Motivation}{section.1.1}
\BOOKMARK [1][-]{section.1.2}{Metropolis Monte-Carlo Methode}{chapter.1}
\BOOKMARK [1][-]{section.1.3}{Statistische Physik im kanonischen Ensemble}{chapter.1}
\BOOKMARK [1][-]{section.1.4}{Das Ising-Modell}{chapter.1}
\BOOKMARK [2][-]{subsection.1.4.1}{Mean-field solution of the Ising model}{section.1.4}
\BOOKMARK [2][-]{subsection.1.4.2}{Ising model: solution in 1 dimension}{section.1.4}
\BOOKMARK [2][-]{subsection.1.4.3}{Ising model on the 2d square lattice}{section.1.4}
\BOOKMARK [2][-]{subsection.1.4.4}{Ising model: simulation}{section.1.4}
\BOOKMARK [2][-]{subsection.1.4.5}{Metropolis importance sampling Monte Carlo scheme}{section.1.4}
\BOOKMARK [2][-]{subsection.1.4.6}{Ising-Modell \(NN-Wechselwirkung\) - Kritische Temperaturen}{section.1.4}
\BOOKMARK [2][-]{subsection.1.4.7}{Kritische Exponenten des Ising-Modells in d=3}{section.1.4}
\BOOKMARK [1][-]{section.1.5}{Finite-size scaling}{chapter.1}
\BOOKMARK [1][-]{section.1.6}{Cluster-MC-Algorithmen}{chapter.1}
\BOOKMARK [2][-]{subsection.1.6.1}{Swendson-Wang Cluster-Update-Algorithmus}{section.1.6}
\BOOKMARK [0][-]{chapter.2}{Exakte Diagonalisierung}{}
\BOOKMARK [1][-]{section.2.1}{Matrixdarstellung des Heisenberg-Modells}{chapter.2}
\BOOKMARK [1][-]{section.2.2}{Mathematischer Exkurs: Eigenwertprobleme}{chapter.2}
\BOOKMARK [2][-]{subsection.2.2.1}{Allgemeine Aussagen}{section.2.2}
\BOOKMARK [1][-]{section.2.3}{Reduktion des Hilbertraums \(vor ED\)}{chapter.2}