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. (Inedito)


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Tipologia del documento: Contributo a Convegno o Workshop (Paper)
Titolo: Classical and quantum Hamilton formalisms for the mechanics of the Bernoulli oscillators I - Classical framework
Numero di pagine: 22
Dipartimento: Scienze fisiche
Tipo di evento: Congresso
Titolo dell'evento: LXXXVII Congresso Nazionale S.I.F.-Società Italiana di Fisica
Luogo dell'evento: Università degli Studi di Milano-Bicocca
Data dell'evento: Settembre 2001
Numero di pagine: 22
Parole chiave: Classical and quantum Hamilton formalisms
Settori scientifico-disciplinari del MIUR: Area 02 - Scienze fisiche > FIS/03 - Fisica della materia
Informazioni aggiuntive: Elaborato a partire da una comunicazione dell'autore alla Società Italiana di Fisica, LXXXVII Congresso Nazionale, Milano 2001, Sez. VI. Inedito
Depositato il: 07 Feb 2012 15:33
Ultima modifica: 30 Apr 2014 19:46


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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