The Ehrenfest picture and the geometry of Quantum Mechanics

Clemente-Gallardo, J. and Marmo, G. (2013) The Ehrenfest picture and the geometry of Quantum Mechanics. Il nuovo cimento C, 36 (3). pp. 35-52. ISSN 1826-9885

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In this paper we develop a picture of Quantum Mechanics based on the description of physical observables in terms of expectation value functions, generalizing thus the so called Ehrenfest theorems for quantum dynamics. Our basic technical ingredient is the set of tools which has been developed in the last years for the geometrical formulation of Quantum Mechanics. In the new picture, we analyze the problem of the dynamical equations, the uncertainty relations and interference and illustrate the construction with the simple case of a two-level system.

Item Type: Article
Uncontrolled Keywords: Quantum Mechanics ; Quantum systems with finite Hilbert space ; Formalism
Subjects: 500 Scienze naturali e Matematica > 530 Fisica
Depositing User: Marina Spanti
Date Deposited: 05 May 2020 12:49
Last Modified: 05 May 2020 12:49

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