This article is cited in 9 papers

Classical and Quantum Systems: Alternative Hamiltonian Descriptions

G. Marmo^abc, G. Scolarici^d, A. Simoni^abc, F. Ventriglia<sup>abce

a</sup> Università degli Studi di Napoli Federico II
^b Complesso Universitario di Monte S. Angelo
^c INFN — National Institute of Nuclear Physics, Sezione di Napoli
^d Lecce University
^e INFM — Istituto Nazionale di Fisica della Materia, UdR di Napoli

Abstract: In complete analogy with the classical situation (which is briefly reviewed), we give the bi-Hamiltonian description for quantum systems. We also analyze compatible Hermitian structures in full analogy with compatible Poisson structures.

Keywords: quantum-classical transition, quantum bi-Hamiltonian systems, alternative Hermitian structures, biunitary operators.

DOI: 10.4213/tmf1862

 English version: Theoretical and Mathematical Physics, 2005, 144:2, 1190–1205

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