Hilbert space description of classical dynamical systems. II

DOI10.1016/0378-4371(88)90066-0zbMath0695.58017OpenAlexW2090408203MaRDI QIDQ910073

Krzysztof Kowalski

Publication date: 1988

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-4371(88)90066-0

zbMATH Keywords

dynamical systemsinfinite number of degrees of freedomSchrödinger- like equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Constructive quantum field theory (81T08) Hilbert spaces of continuous, differentiable or analytic functions (46E20) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25) Equations in function spaces; evolution equations (58D25) General models, approaches, and methods in mechanics of particles and systems (70G99)

Related Items (5)

Bäcklund transformations for nonlinear evolution equations: Hilbert space approach ⋮ Hilbert space description of nonlinear discrete-time dynamical systems ⋮ Hilbert space description of classical dynamical systems. I ⋮ A hypothesis concerning ``quantal Hilbert space criterion of chaos in nonlinear dynamical systems. ⋮ Continuous time evolution from iterated maps and Carleman linearization

Cites Work

• Hilbert space description of classical dynamical systems. I
• Korteweg-de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Hilbert space description of classical dynamical systems. II