
Symmetry in Nonlinear Mathematical Physics  2009
Denis Polishchuk (Taras Shevchenko National University of Kyiv, Ukraine)
On symmetry properties of states of quantum manyparticle systems
Abstract:
We consider the origin of the microscopic description of correlations in quantum manyparticle systems, obeying various symmetry properties, namely BoseEinstein, FermiDirac and fractional statistics. For correlation operators that give the alternative description of the quantum state evolution of manyparticle systems, we deduce the von Neumann hierarchy of nonlinear equations and the BBGKY hierarchy.

