Quantum Bi-Hamiltonian Systems
数学物理
2016-12-28 v1 math.MP
摘要
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.
引用
@article{arxiv.math-ph/0610011,
title = {Quantum Bi-Hamiltonian Systems},
author = {José F. Cariñena and Janusz Grabowski and Giuseppe Marmo},
journal= {arXiv preprint arXiv:math-ph/0610011},
year = {2016}
}
备注
14 pages; the paper is posted for archival purposes