Symmetry in Nonlinear Mathematical Physics - 2009

Wolodymyr Skrypnik (Institute of Mathematics of NASU, Kyiv, Ukraine)

On quantum oscillator Kirkwood-Salsburg equation with many-body potentials

For a Gibbsian system of quantum one-dimensional oscillators on the d-dimensional hyper-cubic lattice, interacting via short-range pair and many-body potentials, the existence of a solution of the infinite-volume Kirkwood-Salsburg equation for correlation functions, depending on wiener paths, is proved.