Kirkwood–Salsburg equation for a quantum lattice system of oscillators with many-particle interaction potentials

  • W. I. Skrypnik


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.
How to Cite
Skrypnik, W. I. “Kirkwood–Salsburg Equation for a Quantum Lattice System of Oscillators With Many-Particle Interaction Potentials”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 61, no. 5, May 2009, pp. 689-00,
Research articles