Some Insight into Many Constituent Dynamics

Abstract

A description of many constituent (particle) systems with fuzzy initial conditions is proposed with the help of the field language. In this language correlation functions are defined and equations for them are derived in the free Fock space. Additional conditions for their solutions are postulated. The closure problem for polynomial, rational, local and nonlocal interactions is considered with exploitation of left or right invertibility of used operators. Some general remarks concerning symmetry and multi-scale descriptions are given.

References in corpus (7)

• Repulsively bound atom pairs in an optical lattice
• Nonlinear Fractional Dynamics on a Lattice with Long Range Interactions
• Hamiltonian Formalism for Space-time Non-commutative Theories
• The mathematical basis for deterministic quantum mechanics
• Physical Degrees of Freedom of Non-local Theories
• Coarse-scale representations and smoothed Wigner transforms
• How Does God Play Dice? (Pre-)Determinism at the Planck Scale

Cited by in corpus (3)

• Unification of some classical and quantum ideas
• Local and global information and equations with left and right invertible operators in the free Fock space
• Metaphysics of the free Fock space with local and global information