Quantum BiHamiltonian Systems
Abstract
We define quantum biHamiltonian 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.
 Publication:

International Journal of Modern Physics A
 Pub Date:
 2000
 DOI:
 10.1142/S0217751X00001956
 arXiv:
 arXiv:mathph/0610011
 Bibcode:
 2000IJMPA..15.4797C
 Keywords:

 Mathematical Physics;
 53Z05;
 81Q99
 EPrint:
 14 pages