The Many Classical Faces of Quantum Structures

Interpretational problems with quantum mechanics can be phrased precisely by only talking about empirically accessible information. This prompts a mathematical reformulation of quantum mechanics in terms of classical mechanics. We survey this programme in terms of algebraic quantum theory.

Bibliographic Details
Published in:	Entropy
Main Author:	Chris Heunen
Format:	Article
Language:	English
Published:	MDPI AG 2017-03-01
Subjects:	algebraic quantum theory C*-algebra gelfand duality classical context bohrification
Online Access:	http://www.mdpi.com/1099-4300/19/4/144

Similar Items

q-Analog of Gelfand-Graev Basis for the Noncompact Quantum Algebra U_q(u(n,1))
by: Raisa M. Asherova, et al.
Published: (2010-01-01)

The Classical-Quantum Dichotomy from the Perspective of the Process Algebra
by: William Sulis
Published: (2022-01-01)

On functional representation of locally m-pseudoconvex algebras
by: Jorma Arhippainen
Published: (1999-01-01)

Infinitely many M2-instanton corrections to M-theory on G 2-manifolds
by: Andreas P. Braun, et al.
Published: (2018-09-01)

A simple characterization of commutative H*-algebras
by: Parfeny P. Saworotnow
Published: (1999-01-01)

Bundles of Banach algebras
by: J. W. Kitchen, et al.
Published: (1994-01-01)

Hilbert Space Structure Induced by Quantum Probes
by: Go Kato, et al.
Published: (2019-06-01)

Physics of infinite complex structure limits in eight dimensions
by: Seung-Joo Lee, et al.
Published: (2022-06-01)

Quantum codes from algebraic curves with automorphisms
by: T.Shaska
Published: (2008-06-01)

Duality for Hilbert algebras with supremum: An application
by: Hernando Gaitán
Published: (2017-10-01)

Integrality structures in topological strings and quantum 2-functions
by: Shengmao Zhu
Published: (2022-05-01)

Quantum metric spaces of quantum maps
by: Maysam Maysami Sadr
Published: (2018-03-01)

On an Approximate Solution to Rodriguez Conjecture
by: Amir Mohammed, et al.
Published: (2006-07-01)

Tools for Verifying Classical and Quantum Superintegrability
by: Ernest G. Kalnins, et al.
Published: (2010-08-01)

A Generic Model for Quantum Measurements
by: Alexia Auffèves, et al.
Published: (2019-09-01)

Grothendieck lines in 3d N $$ \mathcal{N} $$ = 2 SQCD and the quantum K-theory of the Grassmannian
by: Cyril Closset, et al.
Published: (2023-12-01)

Drinfel’d doubles, twists and all that. . . in stringy geometry and M theory
by: Aybike Çatal-Özer, et al.
Published: (2025-01-01)

Charges and topology in linearised gravity
by: Chris Hull, et al.
Published: (2024-07-01)

On Quantum-MV Algebras - Part I: The Orthomodular Algebras
by: Afrodita Iorgulescu
Published: (2021-12-01)

Superconformal quantum mechanics and growth of sheaf cohomology
by: Nick Dorey, et al.
Published: (2023-08-01)

On Quantum-MV algebras - Part II: Orthomodular Lattices, Softlattices and Widelattices
by: Afrodita Iorgulescu
Published: (2022-05-01)

T-duality of emergent gravities on nilmanifolds
by: Raju Roychowdhury, et al.
Published: (2024-07-01)

T-duality in (2, 1) superspace
by: M. Abou-Zeid, et al.
Published: (2019-06-01)

Doubling, T-Duality and Generalized Geometry: a simple model
by: Vincenzo E. Marotta, et al.
Published: (2018-08-01)

Abelian mirror symmetry of N $$ \mathcal{N} $$ = (2, 2) boundary conditions
by: Tadashi Okazaki
Published: (2021-03-01)

Wiener weighted algebra of functions of infinitely many variables
by: L. Atamanyuk
Published: (2015-07-01)

Algebraic solution for the classical harmonic oscillator
by: Murilo B. Alves
Published: (2023-11-01)

Manifestly covariant polynomial M5-brane lagrangians
by: Sukṛti Bansal
Published: (2024-01-01)

M-theory and orientifolds
by: Andreas P. Braun
Published: (2020-09-01)

ALJABAR-C* DAN SIFATNYA
by: HARMANUS BATKUNDE, et al.
Published: (2012-03-01)

Geometry, conformal Killing-Yano tensors and conserved “currents”
by: Ulf Lindström, et al.
Published: (2023-05-01)

The gravitational field outside a spatially compact stationary source in a generic fourth-order theory of gravity
by: Bofeng Wu, et al.
Published: (2023-02-01)

A new twist on the geometry of gravitational plane waves
by: Graham M. Shore
Published: (2017-09-01)

The Yang-Baxter Equation, (Quantum) Computers and Unifying Theories
by: Radu Iordanescu, et al.
Published: (2014-11-01)

Complex structures, T-duality and worldsheet instantons in Born sigma models
by: Tetsuji Kimura, et al.
Published: (2022-06-01)

The Ribbon Elements of the Quantum Double of Generalized Taft–Hopf Algebra
by: Hua Sun, et al.
Published: (2024-06-01)

Gelfand Models for Diagram Algebras
by: Tom Halverson
Published: (2013-01-01)

Functorial Evolution of Quantum Fields
by: Stefano Gogioso, et al.
Published: (2021-07-01)

Nuclear JC-algebras and tensor products of types
by: Fatmah B. Jamjoom
Published: (1993-01-01)

Jacobi–Jordan Conformal Algebras: Basics, Constructions and Related Structures
by: Taoufik Chtioui, et al.
Published: (2025-03-01)