Mastrocinque, Giuseppe Classical and quantum Hamilton formalisms for the mechanics of the Bernoulli oscillators I - Classical framework. In: LXXXVII Congresso Nazionale S.I.F.-Società Italiana di Fisica, Settembre 2001, Università degli Studi di Milano-Bicocca. (Unpublished)

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Item Type: Conference or Workshop Item (Paper)
Additional Information: Elaborato a partire da una comunicazione dell'autore alla Società Italiana di Fisica, LXXXVII Congresso Nazionale, Milano 2001, Sez. VI. Inedito
Uncontrolled Keywords: Classical and quantum Hamilton formalisms
Date Deposited: 07 Feb 2012 15:33
Last Modified: 30 Apr 2014 19:46
URI: http://www.fedoa.unina.it/id/eprint/8488

Abstract

In a few previous papers, we discussed the fundamentals of the so-called Bernoulli oscillators physics. The Bernoulli oscillators are classical entities whose behavior is influenced by a ''hidden'' degree of freedom (HDF), in its turn excited by a quantum vacuum action. Within assessed approximations and limits (uni-dimensional motion), we assumed a classical-like interpretation of quantum effects, and displayed the Newtonian motion background subtending - by our proposal - the matter wave physics. In a couple of papers, we give a formal description of the Bernoulli oscillators classical degree of freedom mechanics, by the means of Hamilton-like formalisms. These are, however, different in their conception from the standard known ones: we introduce indeed an extended form for the Hamilton function, called the Bernoulli Hamiltonian, and non-standard forms for the Hamilton equations or procedures. Due to the flexibility of our forms, both a classical framework and a quantum-like one will be shown able to provide a full description of all the cases relevant to us. In the present paper I, the classical framework is discussed. Physical interpretation matching the mentioned formal procedures is provided step-by-step.

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