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.