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.
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References
Khrennikov, A.Y.: Contextual Approach to Quantum Formalism. Springer, Berlin (2009)
Khrennikov, A.Y.: Ubiquitous Quantum Structure: from Psychology to Finances. Springer, Berlin (2009)
Foulis, D.J.: A Half-Century of Quantum-Logic. What Have We Learned? In: Quantum Structures and the Nature of Reality. Einstein Meets Magritte, vol. 7, pp. 1–36. Kluwer, Dordrecht (1990)
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Khrennikov, A. (2009). Quantum-Like Representation of Macroscopic Configurations. In: Bruza, P., Sofge, D., Lawless, W., van Rijsbergen, K., Klusch, M. (eds) Quantum Interaction. QI 2009. Lecture Notes in Computer Science(), vol 5494. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-00834-4_6
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DOI: https://doi.org/10.1007/978-3-642-00834-4_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-00833-7
Online ISBN: 978-3-642-00834-4
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