Quantum Systems and Alternative Unitary Descriptions
Quantum Physics
2016-09-08 v1
Abstract
Motivated by the existence of bi-Hamiltonian classical systems and the correspondence principle, in this paper we analyze the problem of finding Hermitian scalar products which turn a given flow on a Hilbert space into a unitary one. We show how different invariant Hermitian scalar products give rise to different descriptions of a quantum system in the Ehrenfest and Heisenberg picture.
Cite
@article{arxiv.quant-ph/0312033,
title = {Quantum Systems and Alternative Unitary Descriptions},
author = {G. Marmo and A. Simoni and F. Ventriglia},
journal= {arXiv preprint arXiv:quant-ph/0312033},
year = {2016}
}
Comments
18 pages