
Symmetry in Nonlinear Mathematical Physics  2009
Wolodymyr Skrypnik (Institute of Mathematics of NASU, Kyiv, Ukraine)
On quantum oscillator KirkwoodSalsburg equation with manybody potentials
Abstract:
For a Gibbsian system of quantum onedimensional
oscillators on the ddimensional hypercubic lattice, interacting via shortrange pair and
manybody potentials, the existence of a
solution of the infinitevolume KirkwoodSalsburg equation for correlation functions,
depending on wiener paths, is proved.

