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Springer eBooks

Mean-field theory and random two-body collisions

Georg Wolschin

Published Apr 6, 2008• 0 citations
Publisher
DOI
10.1007/3-540-11950-7_12

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Dynamics of a many-body quantum system of strongly interacting constituents is traditionally considered in a hierarchy of approximations: mean field—quasiparticles—collective excitations—large amplitude motion. Incoherent collision-like processes can be included on the level of kinetics as the mechanism for thermalization. On the other hand, starting from some excitation energy, local spectral properties can always be practically described by random matrix theory. Deep interrelation between two seemingly opposite pictures is not fully understood. This is discussed below, including unresolved problems and possible ways to better theory. Along the road I show how the ideas of quantum chaos can serve as a powerful conceptual, theoretical, experimental and computational tool.