Chirality as a Classical Observable in Algebraic Quantum Mechanics

1988 ◽  
pp. 305-325 ◽  
Author(s):  
Anton Amann
Keyword(s):  
Quantum Mechanics ◽  
Algebraic Quantum ◽  
Classical Observable

scholarly journals A Generic Model for Quantum Measurements

Entropy ◽  
2019 ◽  
Vol 21 (9) ◽  
pp. 904 ◽  
Author(s):  
Alexia Auffèves ◽  
Philippe Grangier
Keyword(s):  
Quantum Mechanics ◽  
Quantum Measurements ◽  
Generic Model ◽  
Quantum Thermodynamics ◽  
Simple Set ◽  
Algebraic Quantum ◽  
Algebraic Quantum Theory ◽  
Born’S Rule ◽  
The Continuum

In previous articles, we presented a derivation of Born’s rule and unitary transforms in Quantum Mechanics (QM), from a simple set of axioms built upon a physical phenomenology of quantization—physically, the structure of QM results of an interplay between the quantized number of “modalities” accessible to a quantum system, and the continuum of “contexts” required to define these modalities. In the present article, we provide a unified picture of quantum measurements within our approach, and justify further the role of the system–context dichotomy, and of quantum interferences. We also discuss links with stochastic quantum thermodynamics, and with algebraic quantum theory.

scholarly journals The geometric semantics of algebraic quantum mechanics

2015 ◽  
Vol 373 (2047) ◽  
pp. 20140245 ◽  
Author(s):  
John Alexander Cruz Morales ◽  
Boris Zilber
Keyword(s):  
Quantum Mechanics ◽  
Model Theory ◽  
Algebraic Quantum ◽  
Geometric Objects ◽  
Ongoing Project

In this paper, we will present an ongoing project that aims to use model theory as a suitable mathematical setting for studying the formalism of quantum mechanics. We argue that this approach provides a geometric semantics for such a formalism by means of establishing a (non-commutative) duality between certain algebraic and geometric objects.

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