Kirkwood–Salsburg equation for a quantum lattice system of oscillators with many-particle interaction potentials
For a Gibbs system of one-dimensional quantum oscillators on a d-dimensional hypercubic lattice interacting via superstable pair and many-particle potentials of finite range, we prove the existence of a solution of the (lattice) Kirkwood–Salsburg equation for correlation functions depending on the Wiener paths. Some many-particle potentials may be nonpositive.
English version (Springer): Ukrainian Mathematical Journal 61 (2009), no. 5, pp 821-833.
Citation Example: Skrypnik W. I. Kirkwood–Salsburg equation for a quantum lattice system of oscillators with many-particle interaction potentials // Ukr. Mat. Zh. - 2009. - 61, № 5. - pp. 689-700.