On the integrability of quantum mechanics as an infinite dimensional Hamiltonian system

DOI10.1088/0951-7715/3/4/006zbMath0718.58028OpenAlexW1994780106MaRDI QIDQ5750004

Livio Pizzocchero, Renzo Cirelli

Publication date: 1990

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/3/4/006

zbMATH Keywords

Hamiltonian systemsphase spacecomplete integrability

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)

Related Items (9)

Noncommutative integrability from classical to quantum mechanics ⋮ Stratified manifold of quantum states, actions of the complex special linear group ⋮ Integrability of the quantum adiabatic evolution and geometric phases ⋮ Contact manifolds and dissipation, classical and quantum ⋮ Remarks on geometric quantum mechanics ⋮ Manifolds of classical probability distributions and quantum density operators in infinite dimensions ⋮ Nonlinear reformulation of Heisenberg's dynamics ⋮ Classical and quantum integrability of hamiltonians without scattering states ⋮ Information, quantum mechanics, and gravity

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