Bishop, Robert C. (2002) The Arrow of Time in Rigged Hilbert Space Quantum Mechanics. [Preprint]

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Abstract

Arno Bohm and Ilya Prigogine's Brussels-Austin Group have been working on the quantum mechanical arrow of time and irreversibility in rigged Hilbert space quantum mechanics. A crucial notion in Bohm's approach is the so-called preparation/registration arrow. An analysis of this arrow and its role in Bohm's theory of scattering is given. Similarly, the Brussels-Austin Group uses an excitation/de-excitation arrow for ordering events, which is also analyzed. The relationship between the two approaches is discussed focusing on their semi-group operators and time arrows. Finally a possible realist interpretation of the rigged Hilbert space formulation of quantum mechanics is considered.

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Item Type:	Preprint
Creators:	Creators Email ORCID Bishop, Robert C.
Keywords:	Arrow of Time; Quantum Mechanics; Irreversibility
Subjects:	Specific Sciences > Physics > Quantum Mechanics
Depositing User:	Dr Robert C. Bishop
Date Deposited:	12 May 2003
Last Modified:	07 Oct 2010 15:11
Item ID:	814
Subjects:	Specific Sciences > Physics > Quantum Mechanics
Date:	September 2002
URI:	https://philsci-archive.pitt.edu/id/eprint/814

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