arXiv subjects

Giuseppe Vitiello

Publications and source records attributed to Giuseppe Vitiello.

75 records · Page 5Linked to original sources

arXiv1995

QUANTUM DISSIPATION AND QUANTUM GROUPS

We discuss the rôle of quantum deformation of Weyl-Heisenberg algebra in dissipative systems and finite temperature systems. We express the time evolution generator of the damped harmonic oscillator and the generator of thermal Bogolubov transformations in terms of operators of the quantum Weyl-Heisenberg algebra. The quantum parameter acts as a label for the unitarily inequivalent representations of the canonical commutation relations in which the space of the states splits in the infinite volume limit.

hep-th↗

arXiv1995

Dissipation and memory capacity in the quantum brain model

The quantum model of the brain proposed by Ricciardi and Umezawa is extended to dissipative dynamics in order to study the problem of memory capacity. It is shown that infinitely many vacua are accessible to memory printing in a way that in sequential information recording the storage of a new information does not destroy the previously stored ones, thus allowing a huge memory capacity. The mechanism of information printing is shown to induce breakdown of time-reversal symmetry. Thermal properties of the memory states as well as their relation with squeezed coherent states are finally discussed.

quant-ph↗

arXiv1993

Minimum Uncertainty, Coherence and Squeezing in Diffusion Processes, and Stochastic Quantization

We show that uncertainty relations, as well as minimum uncertainty coherent and squeezed states, are structural properties for diffusion processes. Through Nelson stochastic quantization we derive the stochastic image of the quantum mechanical coherent and squeezed states.

hep-th↗