Integrable systems as quantum mechanics

2003/09/22 by Robert Carroll, Carroll, Robert
Chemistry · Physics and Astronomy · #Molecular spectroscopy and chirality #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/0309159

Latex, 17 pages

arxiv created 2003/09/22 · arxiv updated 2009/12/01

Abstract

This is a mainly expository sketch showing how some integrable systems (e.g. KP or KdV) can be viewed as quantum mechanical in nature.

Related

• Some remarks on quantum theory and integrable systems
• Classical and quantum integrability
• On the fundamental structure of quantum mechanics
• Further remarks on quantum mechanics and integrable systems
• TOWARDS A DEFINITION OF QUANTUM INTEGRABILITY