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

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

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

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

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

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

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

Reconstruction and local extensions for twisted group doubles, and permutation orbifolds

Authors: Evans, David Gannon, Terry

Subject Terms: Operator algebra methods applied to problems in quantum theory, High Energy Physics - Theory, Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations, Mathematics - Operator Algebras, \(K\)-theory and operator algebras (including cyclic theory), FOS: Physical sciences, Fusion categories, modular tensor categories, modular functors, 01 natural sciences, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, Axiomatic quantum field theory, operator algebras, Finite-dimensional groups and algebras motivated by physics and their representations, 18D10 (primary), 17B69, 81T40 (secondary), High Energy Physics - Theory (hep-th), Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), 0101 mathematics, QA, Operator Algebras (math.OA)

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Access URL: https://orca.cardiff.ac.uk/146271/1/eg_kk-finiteType1-submission_revised.pdf
http://arxiv.org/abs/1804.11145
https://zbmath.org/7487610
https://doi.org/10.1090/tran/8575
https://orca.cardiff.ac.uk/id/eprint/146271/1/eg_kk-finiteType1-submission_revised.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

A multispecies Calogero model

Authors: Stjepan Meljanac Marijan Milekovic Andjelo Samsarov et al.

Contributors: Stjepan Meljanac Marijan Milekovic Andjelo Samsarov et al.

Source: Springer Proceedings in Physics ISBN: 3540228039

Subject Terms: Operator algebra methods applied to problems in quantum theory, High Energy Physics - Theory, Nuclear and High Energy Physics, Nonlinear Sciences - Exactly Solvable and Integrable Systems, Statistical Mechanics (cond-mat.stat-mech), Fock space analysis, FOS: Physical sciences, multispecies Calogero model, Mathematical Physics (math-ph), Hamiltonian eigenstates, 01 natural sciences, Fock space, ladder operators, exact eigenstates, High Energy Physics - Theory (hep-th), Dynamical symmetry, Many-body theory, quantum Hall effect, Calogero model, 0103 physical sciences, Multispecies Calogero model, Exactly Solvable and Integrable Systems (nlin.SI), Condensed Matter - Statistical Mechanics, Mathematical Physics

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Access URL: http://arxiv.org/pdf/hep-th/0307126
http://arxiv.org/abs/hep-th/0307126
https://www.bib.irb.hr/120429
https://www.bib.irb.hr/155998
https://zbmath.org/1991144
https://doi.org/10.1016/j.physletb.2003.08.029
https://link.springer.com/chapter/10.1007/3-540-26798-0_29
https://rd.springer.com/chapter/10.1007/3-540-26798-0_29
https://arxiv.org/abs/hep-th/0307126
https://www.sciencedirect.com/science/article/abs/pii/S0370269303012929
http://ui.adsabs.harvard.edu/abs/2003PhLB..573..202M/abstract
https://link.springer.com/content/pdf/10.1007%2F3-540-26798-0_29.pdf
https://www.bib.irb.hr/155998
https://ui.adsabs.harvard.edu/abs/2005ppu..conf..299M/abstract

Boundaries, Defects and Frobenius Algebras: Boundaries, defects and Frobenius algebras

Authors: Fuchs, J Runkel, I Schweigert, C

Source: International Conference on Theoretical Physics ISBN: 9783034896184

Subject Terms: Operator algebra methods applied to problems in quantum theory, High Energy Physics - Theory, defect lines, FOS: Physical sciences, String and superstring theories in gravitational theory, String and superstring theories, other extended objects (e.g., branes) in quantum field theory, disorder fields, 01 natural sciences, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, open strings, High Energy Physics - Theory (hep-th), D-branes, 0103 physical sciences, 0101 mathematics

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Access URL: http://arxiv.org/pdf/hep-th/0302200
http://arxiv.org/abs/hep-th/0302200
https://zbmath.org/1961700
https://doi.org/10.1002/prop.200310107
https://arxiv.org/abs/hep-th/0302200
https://arxiv.org/pdf/hep-th/0302200
http://www.diva-portal.org/smash/record.jsf?pid=diva2:591073
https://core.ac.uk/display/29862544
https://link.springer.com/content/pdf/10.1007/s00023-003-0914-1.pdf
https://www.math.uni-hamburg.de/home/runkel/PDF/bdf.pdf
https://rd.springer.com/chapter/10.1007/978-3-0348-7907-1_14
https://link.springer.com/chapter/10.1007/978-3-0348-7907-1_14

On the 5d instanton index as a Hilbert series

Authors: Rodríguez-Gómez, Diego Zafrir, Gabi

Source: RUO. Repositorio Institucional de la Universidad de Oviedo
instname
Universidad de Oviedo (UNIOVI)
Nuclear Physics B

Subject Terms: Operator algebra methods applied to problems in quantum theory, High Energy Physics - Theory, Nuclear and High Energy Physics, High Energy Physics - Theory (hep-th), Supersymmetric field theories in quantum mechanics, 0103 physical sciences, Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), FOS: Physical sciences, 01 natural sciences, Two-dimensional field theories, conformal field theories, etc. in quantum mechanics, 3. Good health

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Access URL: http://arxiv.org/abs/1305.5684
http://hdl.handle.net/10651/25353
https://zbmath.org/6275192
https://doi.org/10.1016/j.nuclphysb.2013.11.006
https://arxiv.org/abs/1305.5684
https://www.sciencedirect.com/science/article/pii/S0550321313005701
https://doi.org/10.1016/j.nuclphysb.2013.11.006
http://ui.adsabs.harvard.edu/abs/2014NuPhB.878....1R/abstract
https://arxiv.org/pdf/1305.5684.pdf
https://core.ac.uk/display/35079724

Nonlinear algebra and Bogoliubov’s recursion: Nonlinear algebra and Bogoliubov's recursion

Authors: M. Serbyn A. Morozov

Source: Theoretical and Mathematical Physics. 154:270-293

Subject Terms: Operator algebra methods applied to problems in quantum theory, High Energy Physics - Theory, High Energy Physics - Theory (hep-th), NLS equations (nonlinear Schrödinger equations), nonlinear algebra, 0103 physical sciences, FOS: Physical sciences, quantum field theory, 01 natural sciences, Perturbative methods of renormalization applied to problems in quantum field theory, renormalization

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Access URL: http://arxiv.org/pdf/hep-th/0703258
http://arxiv.org/abs/hep-th/0703258
https://link.springer.com/article/10.1007%2Fs11232-008-0026-7
http://ui.adsabs.harvard.edu/abs/2008TMP...154..270M/abstract
https://arxiv.org/pdf/hep-th/0703258
https://arxiv.org/abs/hep-th/0703258

Noncommutative algebras, nano-structures, and quantum dynamics generated by resonances. III: Noncommutative algebras, nano-structures, and quantum dynamics generated by resonances. II

Authors: M. V. Karasev

Source: Russian Journal of Mathematical Physics. 13:131-150

Subject Terms: Operator algebra methods applied to problems in quantum theory, General theory of \(C^*\)-algebras, Applications of functional analysis in quantum physics, 34E20, 35Lxx, 81Qxx, Mathematics - Quantum Algebra, 0103 physical sciences, FOS: Mathematics, Quantum Algebra (math.QA), FOS: Physical sciences, Mathematical Physics (math-ph), 0101 mathematics, 01 natural sciences, Mathematical Physics

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Access URL: http://arxiv.org/abs/math/0412542
https://zbmath.org/2207958
https://ui.adsabs.harvard.edu/abs/2006RJMP...13..131K/abstract
https://link.springer.com/article/10.1134/S1061920806020026
https://link.springer.com/content/pdf/10.1134/S1061920806020026.pdf

REDUCTION AND UNFOLDING FOR QUANTUM SYSTEMS: THE HYDROGEN ATOM: Reduction and unfolding for quantum systems: the hydrogen atom

Authors: D'AVANZO A MARMO, GIUSEPPE VALENTINO A.

Source: International Journal of Geometric Methods in Modern Physics. :1043-1062

Subject Terms: Operator algebra methods applied to problems in quantum theory, High Energy Physics - Theory, Quantum Physics, FOS: Physical sciences, Mathematical Physics (math-ph), 01 natural sciences, Atomic physics, hydrogen atom, Schrödinger operator, Schrödinger equation, High Energy Physics - Theory (hep-th), differential operators, 0103 physical sciences, quantum reduction, Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics, 0101 mathematics, Quantum Physics (quant-ph), Mathematical Physics

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Access URL: http://arxiv.org/pdf/math-ph/0504033
http://arxiv.org/abs/math-ph/0504033
http://hdl.handle.net/11588/106902
https://www.worldscientific.com/doi/abs/10.1142/S0219887805000922
https://hdl.handle.net/11588/106902

Scattering of topological solitons on holes and barriers

Authors: Piette, B. Zakrzewski, W. Brand, J.

Source: Journal of Physics A-Mathematical and General

Subject Terms: Operator algebra methods applied to problems in quantum theory, High Energy Physics - Theory, Soliton equations, \(2\)-body potential quantum scattering theory, NLS equations (nonlinear Schrödinger equations), Nuclear physics, Deterministic dynamics, FOS: Physical sciences, Pattern Formation and Solitons (nlin.PS), Nonlinear Sciences - Pattern Formation and Solitons, 01 natural sciences, Yang-Mills and other gauge theories in quantum field theory, Condensed Matter - Other Condensed Matter, High Energy Physics - Theory (hep-th), 0103 physical sciences, Other Condensed Matter (cond-mat.other)

File Description: application/xml; application/pdf

Access URL: http://arxiv.org/pdf/hep-th/0508032
http://arxiv.org/abs/hep-th/0508032
http://iopscience.iop.org/0305-4470/38/48/011
http://pubman.mpdl.mpg.de/pubman/item/escidoc:2221696
https://core.ac.uk/display/2528178
https://pure.mpg.de/pubman/faces/ViewItemOverviewPage.jsp?itemId=item_2221696
https://pure.mpg.de/pubman/item/item_2221696_1/component/file_2221695/Piette05ep-topological.pdf
https://arxiv.org/abs/hep-th/0508032
https://arxiv.org/pdf/hep-th/0508032v2
http://hdl.handle.net/11858/00-001M-0000-0029-9F4B-5
http://hdl.handle.net/11858/00-001M-0000-0029-9F4D-1

EXACT SOLUTIONS, LADDER OPERATORS AND BARUT–GIRARDELLO COHERENT STATES FOR A HARMONIC OSCILLATOR PLUS AN INVERSE SQUARE POTENTIAL: Exact solutions, ladder operators and Barut-Girardello coherent states for a harmonic oscillator plus an inverse square potential

Authors: Shi-Hai Dong M. Lozada-Cassou

Source: International Journal of Modern Physics B. 19:4219-4227

Subject Terms: Operator algebra methods applied to problems in quantum theory, ladder operators, Barut-Girardello coherent states, 1) group, 0103 physical sciences, Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics, exact solutions, su(1, 01 natural sciences, Exactly and quasi-solvable systems arising in quantum theory

File Description: application/xml

Access URL: https://ui.adsabs.harvard.edu/abs/2005IJMPB..19.4219D/abstract
https://www.worldscientific.com/doi/abs/10.1142/S0217979205032735

Some twisted results

Authors: Gould, MD Lekatsas, T C Bender

Contributors: Gould, MD Lekatsas, T C Bender

Source: Journal of Physics A: Mathematical and General. 38:10123-10144

Subject Terms: Operator algebra methods applied to problems in quantum theory, Multidisciplinary, Quasi-hopf Superalgebras, Mathematical, 81R50, 16W30, Physics, FOS: Physical sciences, Quantum groups (quantized enveloping algebras) and related deformations, Mathematical Physics (math-ph), Algebras, 01 natural sciences, Hopf algebras (associative rings and algebras), 780101 Mathematical sciences, C1, 230199 Mathematics not elsewhere classified, Mathematics - Quantum Algebra, Elliptic Quantum Groups, FOS: Mathematics, Quantum Algebra (math.QA), 0101 mathematics, Quantum groups and related algebraic methods applied to problems in quantum theory, Mathematical Physics

File Description: application/xml

Access URL: http://arxiv.org/abs/math/0504184
https://core.ac.uk/display/15010405
https://espace.library.uq.edu.au/view/UQ:77526
https://inis.iaea.org/Search/search.aspx?orig_q=RN:37048546
http://ui.adsabs.harvard.edu/abs/2005JPhA...3810123G/abstract
https://arxiv.org/abs/math/0504184

Supersymmetry for integrable hierarchies on loop superalgebras

Authors: Aratyn, H. Gomes, J. F. de Castro, G. M. et al.

Contributors: Aratyn, H. Gomes, J. F. de Castro, G. M. et al.

Source: Journal of Physics A: Mathematical and General. 38:9341-9357

Subject Terms: Operator algebra methods applied to problems in quantum theory, High Energy Physics - Theory, Supersymmetry and quantum mechanics, High Energy Physics - Theory (hep-th), NLS equations (nonlinear Schrödinger equations), 0103 physical sciences, FOS: Physical sciences, 01 natural sciences

File Description: application/xml

Access URL: http://arxiv.org/pdf/hep-th/0508008
http://arxiv.org/abs/hep-th/0508008
https://repositorio.unesp.br/handle/11449/23803
http://ui.adsabs.harvard.edu/abs/2005JPhA...38.9341A/abstract
https://arxiv.org/abs/hep-th/0508008

QUANTUM MACROSTATISTICAL THEORY OF NONEQUILIBRIUM STEADY STATES: Quantum macrostatistical theory of nonequilibrium steady states

Authors: Geoffrey L. Sewell

Source: Reviews in Mathematical Physics. 17:977-1020

Subject Terms: Operator algebra methods applied to problems in quantum theory, chaotic current fluctuations, Statistical Mechanics (cond-mat.stat-mech), 82C10, 82B35, 81R15, nonequilibrium steady states, FOS: Physical sciences, Mathematical Physics (math-ph), 01 natural sciences, 03 medical and health sciences, long range hydrodynamical correlations, 0302 clinical medicine, 0103 physical sciences, Quantum dynamics and nonequilibrium statistical mechanics (general), Irreversible thermodynamics, including Onsager-Machlup theory, quantum macrostatistics, Mathematical Physics, Condensed Matter - Statistical Mechanics

File Description: application/xml

Access URL: http://arxiv.org/pdf/math-ph/0509069
http://arxiv.org/abs/math-ph/0509069
https://zbmath.org/2237245
https://doi.org/10.1142/s0129055x05002492
http://ui.adsabs.harvard.edu/abs/2005RvMaP..17.1241S/abstract
https://www.worldscientific.com/doi/abs/10.1142/S0129055X05002546
https://www.arxiv-vanity.com/papers/math-ph/0509069/
https://www.worldscientific.com/doi/abs/10.1142/S0129055X05002492
http://ui.adsabs.harvard.edu/abs/2005RvMaP..17..977S/abstract
https://arxiv.org/abs/math-ph/0509069
https://arxiv.org/pdf/math-ph/0509069