Search Results - Operator algebra methods applied to problems in quantum theory~

DHR bimodules of quasi-local algebras and symmetric quantum cellular automata

Authors: Corey Jones

Source: Quantum Topology. 15:633-686

Subject Terms: Operator algebra methods applied to problems in quantum theory, Quantum Physics, Mathematics - Operator Algebras, FOS: Physical sciences, Mathematical Physics (math-ph), Fusion categories, modular tensor categories, modular functors, Subfactors and their classification, Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), 81R15, 46L37, 18M20, quantum cellular automata, tensor categories, Operator Algebras (math.OA), Quantum Physics (quant-ph), Mathematical Physics

File Description: application/xml

Access URL: http://arxiv.org/abs/2304.00068

Maps Preserving the Truncation of Triple Products on Cartan Factors: Maps preserving the truncation of triple products on Cartan factors

Authors: Jorge J. Garcés Lei Li Antonio M. Peralta et al.

Source: Results in Mathematics. 79

Subject Terms: Operator algebra methods applied to problems in quantum theory, truncation, tripotent, Jordan structures on Banach spaces and algebras, Applications of operator theory in the physical sciences, preservers, Mathematics - Operator Algebras, 01 natural sciences, Linear operators in \(C^*\)- or von Neumann algebras, Functional Analysis (math.FA), Linear operators on Banach algebras, Mathematics - Functional Analysis, \(\mathrm{JB}^*\)-triple, Inner product spaces and their generalizations, Hilbert spaces, triple isomorphism, FOS: Mathematics, Transformers, preservers (linear operators on spaces of linear operators), order, Cartan factor, 0101 mathematics, Operator Algebras (math.OA), Automatic continuity

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Access URL: http://arxiv.org/abs/2405.13489

The sandwiched rényi divergence and quantum positive evidence order in infinite-dimensional hilbert space: The sandwiched Rényi divergence and quantum positive evidence order in infinite-dimensional Hilbert space

Authors: Shuhui Gao Hongyan Hao Yuan Li

Source: Reports on Mathematical Physics. 88:175-193

Subject Terms: Operator algebra methods applied to problems in quantum theory, quantum states, partial orders, Operator means involving linear operators, shorted linear operators, etc, Applications of operator theory in the physical sciences, Quantum information, communication, networks (quantum-theoretic aspects), quantum Rényi divergence, 0101 mathematics, 01 natural sciences

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Access URL: https://zbmath.org/7458546
https://doi.org/10.1016/s0034-4877(21)00068-9
https://www.sciencedirect.com/science/article/pii/S0034487721000689

A Second-Quantized Kolmogorov–Chentsov Theorem via the Operator Product Expansion: A second-quantized Kolmogorov-Chentsov theorem via the operator product expansion

Authors: Abdelmalek Abdesselam

Source: Communications in Mathematical Physics. 376:555-608

Subject Terms: Operator algebra methods applied to problems in quantum theory, High Energy Physics - Theory, regularity structures, Paracontrolled distributions and alternative approaches, Probability (math.PR), FOS: Physical sciences, White noise theory, Regularity structures, 01 natural sciences, Operations with distributions and generalized functions, Functional Analysis (math.FA), Mathematics - Functional Analysis, Applications of functional analysis in quantum physics, High Energy Physics - Theory (hep-th), Schwartz distributions, Applications of selfadjoint operator algebras to physics, Wilson's operator, 0103 physical sciences, FOS: Mathematics, Representation Theory (math.RT), 0101 mathematics, Mathematics - Probability, Mathematics - Representation Theory

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Access URL: http://arxiv.org/pdf/1604.05259
http://arxiv.org/abs/1604.05259
https://zbmath.org/7202527
https://doi.org/10.1007/s00220-019-03665-4
https://ui.adsabs.harvard.edu/abs/2020CMaPh.376..555A/abstract
https://link.springer.com/article/10.1007/s00220-019-03665-4

Quantization as a categorical equivalence

Authors: Benjamin H. Feintzeig

Source: Letters in Mathematical Physics. 114

Subject Terms: Operator algebra methods applied to problems in quantum theory, C*-algebras, Quantum Physics, Rieffel quantization, Quantizations, deformations for selfadjoint operator algebras, General and philosophical questions in quantum theory, strict deformation quantization, Weyl algebra, Categories, functors in functional analysis, Mathematical Physics, categorical equivalence

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Access URL: http://arxiv.org/abs/2401.08435
https://zbmath.org/7801971
https://doi.org/10.1007/s11005-023-01765-w

Jordanian quantum algebra 𝒰h(sl(N)) via contraction method and mapping: Jordanian quantum algebra \(\mathcal U_{\text h}({sl}(N))\) via contraction method and mapping.

Authors: Abdesselam, B. Chakrabarti, A. Chakrabarti, R. et al.

Contributors: Abdesselam, B. Chakrabarti, A. Chakrabarti, R. et al.

Source: Journal of Physics A: Mathematical and General. 35:3231-3244

Subject Terms: Operator algebra methods applied to problems in quantum theory, Jordan structures on Banach spaces and algebras, Mathematics - Quantum Algebra, 0103 physical sciences, [MATH.MATH-QA]Mathematics [math]/Quantum Algebra [math.QA], FOS: Mathematics, Quantum Algebra (math.QA), Quantum groups (quantized enveloping algebras) and related deformations, Quantum groups and related algebraic methods applied to problems in quantum theory, 01 natural sciences, Hopf algebras (associative rings and algebras)

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Access URL: http://arxiv.org/pdf/math/0105220
http://arxiv.org/abs/math/0105220
https://zbmath.org/2071459
https://doi.org/10.1088/0305-4470/35/14/306
https://arxiv.org/abs/math/0105220
https://arxiv.org/pdf/math/0105220v1
http://ui.adsabs.harvard.edu/abs/2002JPhA...35.3231A/abstract

Hyperfunction quantum field theory: Analytic structure, modular aspects, and local observable algebras

Authors: Erwin Brüning Shigeaki Nagamachi

Source: Journal of Mathematical Physics. 42:99-129

Subject Terms: Operator algebra methods applied to problems in quantum theory, Fourier hyperfunctions, Applications of functional analysis in quantum physics, General theory of von Neumann algebras, 0103 physical sciences, test functions of compact support, Hyperfunctions, analytic functionals, relativistic quantum field theory, net of local observable algebras, Bisognano-Wichman argument, 0101 mathematics, 01 natural sciences, Axiomatic quantum field theory, operator algebras

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Access URL: https://zbmath.org/1711116
https://doi.org/10.1063/1.1326460
http://ui.adsabs.harvard.edu/abs/2001JMP....42...99N/abstract
https://aip.scitation.org/doi/10.1063/1.1326460

Why Do the Quantum Observables Form a Jordan Operator Algebra?: Why do the quantum observables form a Jordan operator algebra?

Authors: Gerd Niestegge

Source: International Journal of Theoretical Physics. 43:35-46

Subject Terms: Operator algebra methods applied to problems in quantum theory, Quantum Physics, quantum mechanics, FOS: Physical sciences, General and philosophical questions in quantum theory, Mathematical Physics (math-ph), 01 natural sciences, Jordan operator algebras, Applications of functional analysis in quantum physics, Applications of selfadjoint operator algebras to physics, 0103 physical sciences, 0101 mathematics, Quantum Physics (quant-ph), Mathematical Physics

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Access URL: http://arxiv.org/pdf/1001.3797
http://arxiv.org/abs/1001.3797
https://zbmath.org/2129438
https://doi.org/10.1023/b:ijtp.0000028848.33510.f4
https://link.springer.com/article/10.1023/B:IJTP.0000028848.33510.f4
http://ui.adsabs.harvard.edu/abs/2004IJTP...43...35N/abstract
https://arxiv.org/abs/1001.3797
https://128.84.21.199/abs/1001.3797

The groupoidal picture of quantum mechanics

Authors: Ciaglia, F.M. Di Cosmo, F. Ibort, A. et al.

Contributors: Ciaglia, F.M. Di Cosmo, F. Ibort, A. et al.

Source: e-Archivo. Repositorio Institucional de la Universidad Carlos III de Madrid
Universidad Carlos III de Madrid (UC3M)
Journal of Geometry and Physics

Subject Terms: Operator algebra methods applied to problems in quantum theory, Feynman's propagator, von Neumann algebras, Matemáticas, General theory of von Neumann algebras, quantum mechanics, Física, Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory, Quantum mechanics, von Neumann algebra, Feynman's sum, G-paths, Groupoids, General questions in astronomy and astrophysics, Groupoids, semigroupoids, semigroups, groups (viewed as categories), measure groupoids

File Description: application/pdf; application/xml

Access URL: https://hdl.handle.net/10016/47215
https://zbmath.org/7799738
https://doi.org/10.1016/j.geomphys.2023.105095

Operator algebras related to quantum optical systems and integrations: Operator algebras related to quantum optical systems and integrations.

Authors: Maciej Horowski Anatol Odzijewicz Agnieszka Tereszkiewicz

Source: Czechoslovak Journal of Physics. 52:1231-1237

Subject Terms: Operator algebra methods applied to problems in quantum theory, Quantum optics, 0103 physical sciences, Laguerre polynomials, quantum optics, 01 natural sciences, operator algebras

File Description: application/xml

Access URL: https://ui.adsabs.harvard.edu/abs/2002CzJPh..52.1231H/abstract
https://link.springer.com/article/10.1023%2FA%3A1021384904073
https://link.springer.com/content/pdf/10.1023/A:1021384904073.pdf

Recursive construction of the operator product expansion in curved space

Authors: Markus B. Fröb

Source: Journal of High Energy Physics

Subject Terms: Operator algebra methods applied to problems in quantum theory, High Energy Physics - Theory, operator product expansion (OPE), High Energy Physics - Theory (hep-th), 0103 physical sciences, field theories in higher dimensions, effective field theories, FOS: Physical sciences, Methods of quantum field theory in general relativity and gravitational theory, Effective quantum field theories, perturbative QCD, 01 natural sciences, Strong interaction, including quantum chromodynamics

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Access URL: https://link.springer.com/content/pdf/10.1007/JHEP02(2021)195.pdf
http://arxiv.org/abs/2007.15668
https://zbmath.org/7348997
https://doi.org/10.1007/jhep02(2021)195
http://ui.adsabs.harvard.edu/abs/2021JHEP...02..195F/abstract
https://link.springer.com/article/10.1007/JHEP02(2021)195
https://link.springer.com/content/pdf/10.1007/JHEP02(2021)195.pdf
https://www.scilit.net/article/5d7832e2cbdb336162ecfd9e8b389253?action=show-references
https://arxiv.org/abs/2007.15668
https://arxiv.org/pdf/2007.15668

ALGEBRAIC APPROACH TO THE 1/N EXPANSION IN QUANTUM FIELD THEORY: Algebraic approach to the \(1/N\) expansion in quantum field theory

Authors: Stefan Hollands

Source: Reviews in Mathematical Physics. 16:509-558

Subject Terms: Operator algebra methods applied to problems in quantum theory, FOS: Physical sciences, Mathematical Physics (math-ph), 81T15, 81T05, 01 natural sciences, Perturbative methods of renormalization applied to problems in quantum field theory, Yang-Mills and other gauge theories in quantum field theory, algebraic method, large \(N\) expansion, 0103 physical sciences, 0101 mathematics, quantum field theory, Feynman diagrams, Mathematical Physics, perturbation theory

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Access URL: http://arxiv.org/pdf/math-ph/0309042
http://arxiv.org/abs/math-ph/0309042
https://arxiv.org/abs/math-ph/0309042
https://www.worldscientific.com/doi/10.1142/S0129055X04002072
https://www.arxiv-vanity.com/papers/math-ph/0309042/
https://ui.adsabs.harvard.edu/abs/2004RvMaP..16..509H/abstract

Cλ-Extended Oscillator Algebras and Some of Their Deformations and Applications to Quantum Mechanics: \(C_ \lambda\)-extended oscillator algebras and some of their deformations and applications to quantum mechanics.

Authors: Quesne, Christiane Vansteenkiste, Nicolas

Source: International Journal of Theoretical Physics. 39:1175-1215

Subject Terms: Operator algebra methods applied to problems in quantum theory, supersymmetric quantum mechanics, Quantum Physics, Supersymmetry and quantum mechanics, Physique, parasupersymmetric quantum mechanics, FOS: Physical sciences, Calogero-Vasiliev algebra, Mathematical Physics (math-ph), Astronomie, 01 natural sciences, Mathématiques, Casimir operators, annihilation, unitary irreducible representations, Mathematics - Quantum Algebra, 0103 physical sciences, FOS: Mathematics, number operators, Quantum Algebra (math.QA), Quantum Physics (quant-ph), Quantum groups and related algebraic methods applied to problems in quantum theory, pseudosupersymmetric and orthosupersymmetric quantum mechanics, Mathematical Physics, oscillator algebra of creation

File Description: application/xml; No full-text files

Access URL: http://arxiv.org/abs/math-ph/0003025
https://zbmath.org/1548238
https://doi.org/10.1023/a:1003627217508
https://difusion.ulb.ac.be/vufind/Record/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/170298/Details
http://ui.adsabs.harvard.edu/abs/2000math.ph...3025Q/abstract
https://www.arxiv-vanity.com/papers/math-ph/0003025/
https://link.springer.com/article/10.1023/A:1003627217508

Normal ordering for the deformed Heisenberg algebra involving the reflection operator

Authors: Cestmir Burdik O. Navrátil

Source: Journal of Physics A: Mathematical and General. 38:2305-2310

Subject Terms: Operator algebra methods applied to problems in quantum theory, Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, 0103 physical sciences, Quantum equilibrium statistical mechanics (general), 01 natural sciences, Perturbative methods of renormalization applied to problems in quantum field theory

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Access URL: https://zbmath.org/2162539
https://doi.org/10.1088/0305-4470/38/11/001
http://iopscience.iop.org/article/10.1088/0305-4470/38/11/001
http://ui.adsabs.harvard.edu/abs/2005JPhA...38.2305B/abstract

On revolutionizing quantum field theory with Tomita’s modular theory: On revolutionizing quantum field theory with Tomita's modular theory

Authors: H. J. Borchers

Source: Journal of Mathematical Physics. 41:3604-3673

Subject Terms: Operator algebra methods applied to problems in quantum theory, half-sided translations, half-sided modular inclusions, modular groups, proof of the PCT theorem, Modular representations and characters, 01 natural sciences, Axiomatic quantum field theory, operator algebras, Classifications of \(C^*\)-algebras, Applications of functional analysis in quantum physics, tensor product decompositions, Research exposition (monographs, survey articles) pertaining to quantum theory, Applications of selfadjoint operator algebras to physics, 0103 physical sciences, 0101 mathematics, symmetry groups

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Access URL: http://inspirehep.net/record/538702
https://ui.adsabs.harvard.edu/abs/2000JMP....41.3604B/abstract
https://scitation.aip.org/content/aip/journal/jmp/41/6/10.1063/1.533323
https://aip.scitation.org/doi/10.1063/1.533323
https://inspirehep.net/literature/538702

Bigq-Laguerre andq-Meixner polynomials and representations of the quantum algebraUq(su1,1): Big \(q\)-Laguerre and \(q\)-Meixner polynomials and representations of the quantum algebra \(U_q(su_{1,1}\))

Authors: A. U. Klimyk Natig M. Atakishiyev M N Atakishiyev

Source: Journal of Physics A: Mathematical and General. 36:10335-10347

Subject Terms: Operator algebra methods applied to problems in quantum theory, FOS: Physical sciences, Quantum groups (quantized enveloping algebras) and related deformations, Mathematical Physics (math-ph), 01 natural sciences, Hopf algebras (associative rings and algebras), Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Mathematics - Spectral Theory, Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), 0101 mathematics, Quantum groups and related algebraic methods applied to problems in quantum theory, Spectral Theory (math.SP), Mathematical Physics

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Access URL: http://arxiv.org/pdf/math/0306201
http://arxiv.org/abs/math/0306201
https://zbmath.org/2073262
https://doi.org/10.1088/0305-4470/36/41/006
http://core.ac.uk/display/21932034
https://www.arxiv-vanity.com/papers/math/0306201/
https://arxiv.org/pdf/math/0306201
http://iopscience.iop.org/article/10.1088/0305-4470/36/41/006/pdf
http://ui.adsabs.harvard.edu/abs/2003JPhA...3610335A/abstract
https://arxiv.org/abs/math/0306201
https://arxiv.org/pdf/math/0306201v1

Algebraic Quantum Field Theory, Perturbation Theory, and the Loop Expansion: Algebraic quantum field theory, perturbation theory, and the loop expansion

Authors: Duetsch, M. Fredenhagen, K.

Source: Communications in mathematical physics 219(1), 5-30 (2001). doi:10.1007/PL00005563

Subject Terms: Operator algebra methods applied to problems in quantum theory, High Energy Physics - Theory, causality, axiomatic field theory, field theory: classical, S-matrix: local, FOS: Physical sciences, 01 natural sciences, algebra: local, renormalization, Perturbative methods of renormalization applied to problems in quantum field theory, Finite-dimensional groups and algebras motivated by physics and their representations, High Energy Physics - Theory (hep-th), 0103 physical sciences, field theory: interaction, gauge field theory, quantization, perturbation theory

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Access URL: http://arxiv.org/pdf/hep-th/0001129
http://arxiv.org/abs/hep-th/0001129
https://arxiv.org/pdf/hep-th/0001129.pdf
https://arxiv.org/abs/hep-th/0001129
https://link.springer.com/article/10.1007/PL00005563
http://ui.adsabs.harvard.edu/abs/2001CMaPh.219....5D/abstract
http://inspirehep.net/record/523182
https://bib-pubdb1.desy.de/record/320277

Variations on the Choi–Jamiołkowski isomorphism: Variations on the Choi-Jamiołkowski isomorphism

Authors: Markus Frembs Eric G Cavalcanti

Source: Journal of Physics A: Mathematical and Theoretical. 57:265301

Subject Terms: Operator algebra methods applied to problems in quantum theory, channel-state duality, Quantum Physics, Jordan algebras, Quantum information, Quantum state spaces, operational and probabilistic concepts, computation and communication, Mathematical sciences, FOS: Physical sciences, Mathematical Physics (math-ph), quantum channels, Quantum channels, fidelity, 01 natural sciences, Physical sciences, time orientation, 0103 physical sciences, 0101 mathematics, entanglement, Quantum Physics (quant-ph), Mathematical Physics

File Description: application/xml

Access URL: http://arxiv.org/abs/2211.16533
https://zbmath.org/7872309
https://doi.org/10.1088/1751-8121/ad5394

Commuting quantum traces: the case of reflection algebras: Commuting quantum traces: The case of reflection algebras

Authors: Avan, Jean Doikou, Anastasia Laboratoire de Physique Théorique et Modélisation (LPTM - UMR 8089) et al.

Contributors: Avan, Jean Doikou, Anastasia Laboratoire de Physique Théorique et Modélisation (LPTM - UMR 8089) et al.

Source: Journal of Physics A: Mathematical and General. 37:1603-1615

Subject Terms: High Energy Physics - Theory, [NLIN.NLIN-SI] Nonlinear Sciences [physics]/Exactly Solvable and Integrable Systems [nlin.SI], 81R50, 17B37, [PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph], FOS: Physical sciences, Groups and algebras in quantum theory and relations with integrable systems, Quantum groups (quantized enveloping algebras) and related deformations, 01 natural sciences, Mathematics - Quantum Algebra, 0103 physical sciences, FOS: Mathematics, Quantum Algebra (math.QA), [NLIN.NLIN-SI]Nonlinear Sciences [physics]/Exactly Solvable and Integrable Systems [nlin.SI], Quantum groups and related algebraic methods applied to problems in quantum theory, Mathematical Physics, Operator algebra methods applied to problems in quantum theory, [PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th], Mathematical Physics (math-ph), [PHYS.MPHY] Physics [physics]/Mathematical Physics [math-ph], Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Hopf algebras (associative rings and algebras), High Energy Physics - Theory (hep-th), [PHYS.HTHE] Physics [physics]/High Energy Physics - Theory [hep-th]

File Description: application/xml

Access URL: http://arxiv.org/pdf/math/0305424
http://arxiv.org/abs/math/0305424
https://zbmath.org/2070715
https://doi.org/10.1088/0305-4470/37/5/010
https://arxiv.org/abs/math/0305424
https://arxiv.org/pdf/math/0305424
https://hal.archives-ouvertes.fr/hal-00004426
https://researchportal.hw.ac.uk/en/publications/commuting-quantum-traces-the-case-of-reflection-algebras
http://ui.adsabs.harvard.edu/abs/2004JPhA...37.1603A/abstract
http://iopscience.iop.org/article/10.1088/0305-4470/37/5/010
https://hal.science/hal-00004426v1

Propagation Properties for Schrödinger Operators Affiliated with Certain C*-Algebras: Propagation properties for Schrödinger operators affiliated with certain \(C^*\)-algebras

Authors: Marius Mantoiu Radu Purice W. O. Amrein

Source: Annales Henri Poincaré. 3:1215-1232

Subject Terms: Operator algebra methods applied to problems in quantum theory, scattering theory, \(2\)-body potential quantum scattering theory, C*-techniques, anisotropic Schrödinger operators, 0101 mathematics, Tensor products of \(C^*\)-algebras, 01 natural sciences, Selfadjoint operator theory in quantum theory, including spectral analysis

File Description: application/xml

Access URL: https://link.springer.com/article/10.1007/s000230200003
https://link.springer.com/content/pdf/10.1007/s000230200003.pdf
http://ui.adsabs.harvard.edu/abs/2002AnHP....3.1215A/abstract