90 research outputs found

    37. Imbraguglia (G.), Badolati (G. S.), Morchio (R.), Battegazzore (A. M.), Messina (G.), Index Empedocleus

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    Brunet Philippe. 37. Imbraguglia (G.), Badolati (G. S.), Morchio (R.), Battegazzore (A. M.), Messina (G.), Index Empedocleus. In: Revue des Études Grecques, tome 105, fascicule 500-501, Janvier-juin 1992. pp. 289-290

    Un accès direct à Empédocle : G. Imbraguglia, G. Badolati, R. Morchio, A. Battegazzore, G. Messina, Index Empedocleus.

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    Lévêque Pierre. Un accès direct à Empédocle : G. Imbraguglia, G. Badolati, R. Morchio, A. Battegazzore, G. Messina, Index Empedocleus.. In: Dialogues d'histoire ancienne, vol. 18, n°2, 1992. pp. 367-368

    Dynamics of mean-field spin models from basic results in abstract differential equations

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    The infinite-volume limit of the dynamics of (generalized) mean-field spin models is obtained through a direct analysis of the equations of motion, in a large class of representations of the spin algebra. The resulting dynamics fits into a general framework for systems with long-range interaction: variables at infinity appear in the time evolution of local variables and spontaneous symmetry breaking with an energy gap follows from this mechanism. The independence of the construction of the approximation scheme in finite volume is proven. © 1992 Plenum Publishing Corporation

    The extension problem for partial Boolean structures in quantum mechanics

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    Alternative partial Boolean structures, implicit in the discussion of classical representability of sets of quantum mechanical predictions, are characterized, with definite general conclusions on the equivalence of the approaches going back to Bell and Kochen-Specker. An algebraic approach is presented, allowing for a discussion of partial classical extension, amounting to reduction of the "number of contexts," classical representability arising as a special case. As a result, known techniques are generalized and some of the associated computational difficulties overcome. The implications on the discussion of Boole-Bell inequalities are indicated. © 2010 American Institute of Physics

    The harmonic and melodic connection numbers involving the mutual inclusions among the generic groups of notes arbitrarily emitted

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    The present paper is aimed to provide specific details and new results related to the music network described in the previous study by the author. While the first paper served as an introduction and extensive analysis of the model in all its potential applications, the present study is aimed at providing supplementary data to quantitatively support the previous one. The music concepts described in the present paper concern the evaluation of all the potential mutual inclusions and connections among chords, scales, and more in general any generic group of notes arbitrarily played by each musician. These concepts characterize the specific algorithm purposely developed and implemented in an interactive software application tool that can be employed for performing the melodic and harmonic analyses of any kind of tune. Geometric music graphs that take into account these groups are automatically designed by the software in order to trace the harmonic and melodic zones touched by each music composition. These geometric graphs are constituted by the connections (that can also represent mutual inclusions) among the generic groups of notes. The primary focus of the present paper is on the quantitative results and data characterizing the inner structure related to these graphs

    Quantum Mechanics and Stochastic Mechanics for Compatible Observables at Different Times

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    Bohm mechanics and Nelson stochastic mechanics are confronted with quantum mechanics in the presence of noninteracting subsystems. In both cases, it is shown that correlations at different times of compatible position observables on stationary states agree with quantum mechanics only in the case of product wave functions. By appropriate Bell-like inequalities it is shown that no classical theory, in particular no stochastic process, can reproduce the quantum mechanical correlations of position variables of noninteracting systems at different times

    Bell inequalities as constraints on unmeasurable correlations

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    The interpretation of the violation of Bell-Clauser-Horne inequalities is revisited, in relation with the notion of extension of QM predictions to unmeasurable correlations. Such extensions are compatible with QM predictions in many cases, in particular for observables with compatibility relations described by tree graphs. This implies classical representability of any set of correlations 〈Ai〉, 〈B〉, 〈AiB〉, and the equivalence of the Bell-Clauser-Horne inequalities to a non void intersection between the ranges of values for the unmeasurable correlation 〈A1A2 〉 associated to different choices for B. The same analysis applies to the Hardy model and to the “perfect correlations ” discussed by Greenberger, Horne, Shimony and Zeilinger. In all the cases, the dependence of an unmeasurable correlation on a set of variables allowing for a classical representation is the only basis for arguments about violations of locality and causality. 1 a
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