Lie-Nambu and beyond

Abstract

Linear quantum mechanics can be regarded as a particular example of a nonlinear Nambu-type theory. Some elements of this approach are presented.

revtex; an extended version of the talk given at the workshop "Actual problems in quantum mechanics", Peyresq, July, 1997

References in corpus (4)

• On Field Theoretic Generalizations of a Poisson Algebra
• Nonlocal looking equations can make nonlinear quantum dynamics local
• Complete positivity of nonlinear evolution: A case study
• Density matrix interpretation of solutions of Lie-Nambu equations

Cited by in corpus (3)

• Quantum feedback with weak measurements
• Nambu-Lie 3-Algebras on Fuzzy 3-Manifolds
• Duality and modular class of a Nambu-Poisson structure