17 citations · 23 across the 6 of their papers we have counts for
6 papers
Resonances, Unstable Systems and Irreversibility: Matter Meets Mind
Robert C. Bishop
The fundamental time-reversal invariance of dynamical systems can be broken in various ways. One way is based on the presence of resonances and their interactions giving rise to un…
The Arrow of Time in Rigged Hilbert Space Quantum Mechanics
Robert C. Bishop
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 cruc…
Determinism and Indeterminism
Robert C. Bishop
Determinism and indeterminism in physical theories are reviewed and some broader implications of determinism are discussed.
Brussels-Austin Nonequilibrium Statistical Mechanics in the Later Years: Large Poincare Systems and Rigged Hilbert Space
Robert C. Bishop
This second part of a two-part essay discusses recent developments in the Brussels-Austin Group after the mid 1980s. The fundamental concerns are the same as in their similarity tr…
Brussels-Austin Nonequilibrium Statistical Mechanics in the Early Years: Similarity Transformations between Deterministic and Probabilistic Descriptions
Robert C. Bishop
The fundamental problem on which Ilya Prigogine and the Brussels-Austin Group have focused can be stated briefly as follows. Our observations indicate that there is an arrow of tim…
Quantum Time Arrows, Semigroups and Time-Reversal in Scattering
Robert C. Bishop
Two approaches toward the arrow of time for scattering processes have been proposed in rigged Hilbert space quantum mechanics. One, due to Arno Bohm, involves preparations and regi…