Quantum-like representation of macroscopic configurations

Andrei Khrennikov

pp. 44-58

in: Peter Bruza, Donald A. Sofge, William F. Lawless (eds), Quantum interaction, Berlin, Springer, 2009

Abstract

The aim of this paper is to use a contextual probabilistic model (in the spirit of Mackey, Gudder, Ballentine) to represent and to generalize some results of quantum logic on macroscopic quantum-like (QL) behaviour. The crucial point is that our model provides the QL-representation of macroscopic configurations in terms of complex probability amplitudes – wave functions of such configurations. Thus, instead of the language of propositions which is common in quantum logic, we use the language of wave functions which common in the conventional presentation of QM.