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Advanced quantum mechanics

Ya.I. Rodionov

This is a lecture course on modern topics in quantum mechanics which are not included into standard program of physical departments of universities but are actively employed in theoretical and experimental investigations of the last 20-30 years. The content is divided into three parts: (a) advanced quasiclassical methods (adiabatic Berry phase, Landau-Zener tunneling, turning points in the complex plane), (b) Feynman formulation of quantum mechanics with integration over trajectories, and description of basic quantum-mechanical phenomena in this language, (c) density matrix formalism (reduced density matrices, entanglement entropy, decoherence and dissipation in open systems).