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Interaction between classical and quantum systems

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The article was published on 1977-10-01 and is currently open access. It has received 11 citations till now. The article focuses on the topics: Open quantum system & Quantum chaos.

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Citations
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Journal ArticleDOI

Events and Piecewise Deterministic Dynamics in Event-Enhanced Quantum Theory

TL;DR: In this article, the concepts of experiment and measurement are defined and the standard formalism of quantum theory is enhanced to enable events, and the concept of quantum quantum jump is introduced.
Journal ArticleDOI

Non-commutative geometry: A physicist's brief survey

TL;DR: In this article, the authors introduce non-commutative geometry by following A. Connes' point of view, and present a review of the ideas underlying non-commodity measure and topology.
Journal ArticleDOI

How events come into being: EEQT, particle tracks, quantum chaos and tunnelling time

TL;DR: In this article, the authors review Event Enhanced Quantum Theory (EEQT) and compare its quantitative predictions with other approaches, in particular with phase time and the Buttiker-Larmor approach.
Posted Content

From Quantum Probabilities to Classical Facts

TL;DR: In this paper, a review of model interactions between classical and quantum systems is briefly reviewed, including general measurement, Stern-Gerlach experiment, model of a counter, quantum Zeno effect, piecewise deterministic Markov processes and meaning of the wave function.
Journal ArticleDOI

Quantum ${{\mathbb{F}}_{{\rm un}}}$: the q = 1 limit of Galois field quantum mechanics, projective geometry and the field with one element

TL;DR: In this paper, the q = 1 limit of Galois field quantum mechanics was shown to correspond to its classical limit, where superposition of states is disallowed, and can be understood as being constructed on an appropriately defined analogue of a?vector? space over the?field with one element?.
References
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Journal ArticleDOI

Events and piecewise deterministic dynamics in event-enhanced quantum theory

TL;DR: In this paper, the concepts of experiment and measurement are defined and the standard formalism of quantum theory is enhanced to enable events, and a unique Markov process involving quantum jumps, classical events and describing sample histories of individual systems.
Journal ArticleDOI

Non-commutative geometry: A physicist's brief survey

TL;DR: In this article, the authors introduce non-commutative geometry by following A. Connes' point of view, and present a review of the ideas underlying non-commodity measure and topology.
Journal ArticleDOI

How events come into being: EEQT, particle tracks, quantum chaos and tunnelling time

TL;DR: In this article, the authors review Event Enhanced Quantum Theory (EEQT) and compare its quantitative predictions with other approaches, in particular with phase time and the Buttiker-Larmor approach.
Posted Content

From Quantum Probabilities to Classical Facts

TL;DR: In this paper, a review of model interactions between classical and quantum systems is briefly reviewed, including general measurement, Stern-Gerlach experiment, model of a counter, quantum Zeno effect, piecewise deterministic Markov processes and meaning of the wave function.
Journal ArticleDOI

Quantum ${{\mathbb{F}}_{{\rm un}}}$: the q = 1 limit of Galois field quantum mechanics, projective geometry and the field with one element

TL;DR: In this paper, the q = 1 limit of Galois field quantum mechanics was shown to correspond to its classical limit, where superposition of states is disallowed, and can be understood as being constructed on an appropriately defined analogue of a?vector? space over the?field with one element?.