Classical Extensions, Classical Representations and Bayesian Updating in Quantum Mechanics

Guido Bacciagaluppi (1)

1 IHPST - Institut d'Histoire et de Philosophie des Sciences et des Techniques

I review the formalism of classical extensions of quantum mechanics introduced by Beltrametti and Bugajski, and compare it to the classical representations discussed e.g. by Busch, Hellwig and Stulpe and recently used by Fuchs in his discussion of quantum mechanics in terms of standard quantum measurements. I treat the problem of finding Bayesian analogues of the state transition associated with measurement in the canonical classical extension as well as in the related 'uniform' classical representation. In the classical extension, the analogy is extremely good.

Mots clés: quantum mechanics

Domaines: Histoire, Philosophie et Sociologie des sciences

Guido Bacciagaluppi. Classical Extensions, Classical Representations and Bayesian Updating in Quantum Mechanics. Khrennikov, A. Quantum Theory: Reconsideration of Foundations, Växjö University Press, pp.55-69, 2004. ⟨halshs-00791855⟩