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We prove that the locality condition is irrelevant to Bell in equality. We check that the real origin of the Bell’s inequality is the assumption of applicability of classical (Kolmogorovian) probability theory to quantum mechanics. – Inequalities among numbers – The Bell inequality – Implications of the Bell’s inequalities for the singlet correlations –… (More)

- Luigi Accardi, Ruben Sabbadini
- UMC
- 2000

- Luigi Accardi
- Kybernetik
- 1971

In a discrete model of a neural network, from a limitation on the rank of the matrix of “coupling coefficients”, an upper bound for the maximum length of the transients is derived, generalizing the analogue result of Caianiello (1966a) for the case of rank one. A counterexample shows that the limitation found is the best possible involving only the rank of… (More)

- Luigi Accardi, Andrei Khrennikov, Masanori Ohya
- Open Syst. Inform. Dynam.
- 2009

We analyze, from the point of view of quantum probability, statistical data from two interesting experiments, done by Shafir and Tversky [1, 2] in the domain of cognitive psychology. These are gambling experiments of Prisoner Dilemma type. They have important consequences for economics, especially for the justification of the Savage “Sure Thing Principle”… (More)

- Luigi Accardi
- 2011

Appeared in: Ac82c Accardi L.: Some trends and problems in quantum probability, In: Quantum probability and applications to the quantum theory of irreversible processes, L. Accardi, A. Frigerio and V. Gorini (eds.), Proc. 2–d Conference: Quantum Probability and applications to the quantum theory of irreversible processes, 6–11, 9 (1982) Villa Mondragone… (More)

Luigi Accardi† and Masanori Ohya‡ † Graduate School of Polymathematics, Nagoya University, Chikusa–ku, Nagoya, 464–01, Japan, and Centro V. Volterra, Università degli Studi di Roma “Tor Vergata” – 00133 Rome, Italy E-mail: accardi@volterra.mat.uniroma2.it, and accardi@math.nagoya-u.ac.jp ‡Department of Information Sciences Science University of Tokyo Noda… (More)

- Luigi Accardi
- 1997

The dynamics of the spin–boson Hamiltonian is considered in the stochastic approximation. The Hamiltonian describes a two–level system coupled to an environment and is widely used in physics, chemistry and the theory of quantum measurement. We demonstrate that the method of the stochastic approximation which is a general method of consideration of dynamics… (More)

- Luigi Accardi
- 2008

Motivated by the work of Segal and Segal in [16] on the Black-Scholes pricing formula in the quantum context, we study a quantum extension of the BlackScholes equation within the context of Hudson-Parthasarathy quantum stochastic calculus,. Our model includes stock markets described by quantum Brownian motion and Poisson process. 1. The Merton-Black-Scholes… (More)

Abstract. Recently (cf. [1] and [2]) L. Accardi and A. Boukas proved that the generators of the second quantized Virasoro–Zamolodchikov–w∞ algebra can be expressed in terms of the Renormalized Higher Powers of White Noise and conjectured that this inclusion might in fact be an identity, in the sense that the converse is also true. In this paper we prove… (More)

A new infinitesimal characterization of completely positive but not necessarily homomorphic Markov flows from a C∗–algebra to bounded operators on the boson Fock space over L2(R) is given. Contrarily to previous characterizations, based on stochastic differential equations, this characterization is universal, i.e. valid for arbitrary Markov flows. With this… (More)