Quantum Bi-Hamiltonian Systems

Details Quantum Bi-Hamiltonian Systems Quantum Bi-Hamiltonian Systems

2006-10-06

arxiv.org/abs/math-ph/0610011v1

Int.J.Mod.Phys. A15 (2000) 4797-4810

Physics

Mathematical Physics

14 pages; the paper is posted for archival purposes

Scientific paper

10.1142/S0217751X00001954

We define quantum bi-Hamiltonian systems, by analogy with the classical case,
as derivations in operator algebras which are inner derivations with respect to
two compatible associative structures. We find such structures by means of the
associative version of Nijenhuis tensors. Explicit examples, e.g. for the
harmonic oscillator, are given.

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