Cumulant Expansions of the Operator Groups of Quantum Many-Particle Systems
Abstract
UDC 530.145:517.98 We present a method of cluster expansions for groups of operators associated with the von-Neumann equations for states and the Heisenberg equations for observables aimed at construction of generating operators for the solutions to the Cauchy problem for hierarchies of evolution equations of many-particle quantum systems.
Fields of Study & Subjects
Spectral Theory in Mathematical Physics
advanced mathematical theories
Quantum Mechanics and Applications
Publication details
- Journal / source
- Ukrainian Mathematical Journal
- Volume
- 78
- Issue
- 3
- Pages
- 218–234
- Publication date
- 28 March 2026
- Language
- EN