QUANTUM SYSTEMS AND ALTERNATIVE UNITARY DESCRIPTIONS

Author:

MARMO G.1,SIMONI A.1,VENTRIGLIA F.2

Affiliation:

1. Dip. Scienze Fisiche and INFN Sez. di Napoli, Università Federico II, Compl. Univ. Monte S. Angelo, Napoli, 80126, Italy

2. Dip. Scienze Fisiche and INFM Unità di Napoli, Università Federico II, Compl. Univ. Monte S. Angelo, Napoli, 80126, Italy

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 quantumsystem in the Ehrenfest and Heisenberg picture.

Publisher

World Scientific Pub Co Pte Lt

Subject

Astronomy and Astrophysics,Nuclear and High Energy Physics,Atomic and Molecular Physics, and Optics

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