Prog. Theor. Phys. Vol. 88 No. 6 (1992) pp. 1051-1064

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Invited Papers

Cat Paradox for C^*-Dynamical Systems

Masanao Ozawa

Department of Mathematics, College of General Education, Nagoya University, Nagoya 464-01

(Received October 8, 1992)

Abstract:

In the algebraic approach to the quantum physics, the notion of a macroscopic observable has been well established. This paper examines a program for the unification of classical mechanics and quantum mechanics based on the macroscopic observable and the algebraic description of a dynamical system such as a C^*-dynamical system. It is proved quite generally that in this approach we cannot describe the measuring interaction between a microscopic system and a macroscopic apparatus by a C^*-dynamical system, or any similar frameworks, as long as the time reversibility of the dynamics of isolated systems is assumed.

URL : http://ptp.ipap.jp/link?PTP/88/1051/
DOI : 10.1143/PTP.88.1051

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Citing Article(s) :

Progress of Theoretical Physics Vol. 93 No. 3 (1995) pp. 631-646 :
Particle Tracks, Events and Quantum Theory

A. Jadczyk

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