The Arrow of Time in Rigged Hilbert Space Quantum Mechanics

Details The Arrow of Time in Rigged Hilbert Space Quantum Mechanics The Arrow of Time in Rigged Hilbert Space Quantum Mechanics

2005-06-22

arxiv.org/abs/quant-ph/0506184v1

Physics

Quantum Physics

13 pages

Scientific paper

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 initially 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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