Search Results - Applications of operator theory in statistical physics

Spectral Theory of Pseudo-Ergodic Operators: Spectral theory of pseudo-ergodic operators.

Authors: Davies, E B

Source: Communications in Mathematical Physics. 216:687-704

Subject Terms: potential, pseudo-ergodic operator, Applications of operator theory in chemistry and life sciences, FOS: Physical sciences, Linear difference operators, Mathematical Physics (math-ph), 01 natural sciences, Applications of operator theory in statistical physics, spectrum, 65F15, 65F22, 15A18, 15A52, 47A10, 47A75, 47B80, 60H25, Mathematics - Spectral Theory, 0103 physical sciences, FOS: Mathematics, Spectrum, resolvent, 0101 mathematics, Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics, Random linear operators, Spectral Theory (math.SP), Mathematical Physics, Selfadjoint operator theory in quantum theory, including spectral analysis, Anderson model

File Description: application/xml

Access URL: http://arxiv.org/pdf/math/0008136
http://arxiv.org/abs/math/0008136
https://zbmath.org/1631847
https://doi.org/10.1007/s002200000352
https://link.springer.com/article/10.1007/s002200000352
https://www.arxiv-vanity.com/papers/math/0008136/
https://ui.adsabs.harvard.edu/abs/2001CMaPh.216..687D/abstract
https://arxiv.org/abs/math/0008136
http://arxiv.org/pdf/math/0008136.pdf
https://core.ac.uk/display/29870513

The Lp-Theory of the Spectral Shift Function,¶the Wegner Estimate, and the Integrated Density¶of States for Some Random Operators: The \(L^p\)-theory of the spectral shift function, the Wegner estimate, and the integrated density of states for some random operators.

Authors: Jean-Michel Combes P. D. Hislop Shu Nakamura

Source: Communications in Mathematical Physics. 218:113-130

Subject Terms: 0103 physical sciences, 0101 mathematics, Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics, Random linear operators, 01 natural sciences, Applications of operator theory in statistical physics

File Description: application/xml

Access URL: https://zbmath.org/1631823
https://doi.org/10.1007/pl00005555
https://link.springer.com/article/10.1007/PL00005555
http://ui.adsabs.harvard.edu/abs/2001CMaPh.218..113C/abstract

Spectral Theory of Time Dispersive and Dissipative Systems: Spectral theory of time dispersive and dissipative systems

Authors: Alexander Figotin Jeffrey H. Schenker

Source: Journal of Statistical Physics. 118:199-263

Subject Terms: 34A30, 47DO6, 82CO3, 78A25, 70J10, Applications of operator theory to differential and integral equations, FOS: Physical sciences, spectral theory, Mathematical Physics (math-ph), 01 natural sciences, Applications of operator theory in statistical physics, time dispersive dissipative dielectric medium, time dispersive dissipative systems, Lamb model, Quantum dynamics and nonequilibrium statistical mechanics (general), Maxwell equations, 0101 mathematics, PDEs in connection with optics and electromagnetic theory, conservative extension, Mathematical Physics

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Access URL: http://arxiv.org/pdf/math-ph/0404070
http://arxiv.org/abs/math-ph/0404070
https://arxiv.org/abs/math-ph/0404070
https://arxiv.org/pdf/math-ph/0404070
https://www.math.uci.edu/~afigotin/papers/Figotin%20Schenker%20Spectral%20Theory%20of%20Time%20Dispersive%20and%20Dissipative%20JSP%202005.pdf
http://users.math.msu.edu/users/jeffrey/Reprints/JSPV118P199.pdf
https://core.ac.uk/display/100831837
https://users.math.msu.edu/users/jeffrey/Reprints/JSPV118P199.pdf
https://ui.adsabs.harvard.edu/abs/2005JSP...118..199F/abstract
https://link.springer.com/article/10.1007/s10955-004-8783-7

SOLUTION OF THE MPC PROBLEM IN TERMS OF THE SZ.-NAGY–FOIAŞ DILATION THEORY: Solution of the MPC problem in terms of the Sz.-Nagy--Foiaş dilation theory

Authors: F. Gómez-Cubillo

Source: Infinite Dimensional Analysis, Quantum Probability and Related Topics. 11:73-96

Subject Terms: Groups and semigroups of linear operators, intrinsically random dynamics, 0103 physical sciences, Quantum dynamics and nonequilibrium statistical mechanics (general), Dilations, extensions, compressions of linear operators, 0101 mathematics, Canonical models for contractions and nonselfadjoint linear operators, 01 natural sciences, Applications of operator theory in statistical physics, Sz.-Nagy-Foias dilation theory, unitary quasi-affine transforms of contractions

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Access URL: https://zbmath.org/5316156
https://doi.org/10.1142/s0219025708002987
https://www.worldscientific.com/doi/abs/10.1142/S0219025708002987

Lipschitz continuity of the spectra of the magnetic transition operators on a crystal lattice: Lipschitz continuity of the spectra of the magnetic transition operators on a crystal lattice.

Authors: Motoko Kotani

Source: Journal of Geometry and Physics. 47:323-342

Subject Terms: Statistical mechanics of magnetic materials, Applications of selfadjoint operator algebras to physics, Weyl representation, Crystal lattice, 0101 mathematics, 01 natural sciences, Statistical mechanics of crystals, Applications of operator theory in statistical physics, Magnetic transition operator, Group \(C^{\ast}\)-algebra, Selfadjoint operator theory in quantum theory, including spectral analysis

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Access URL: http://ui.adsabs.harvard.edu/abs/2003JGP....47..323K/abstract
https://www.sciencedirect.com/science/article/pii/S0393044002002267
https://tohoku.pure.elsevier.com/en/publications/lipschitz-continuity-of-the-spectra-of-the-magnetic-transition-op
http://www.sciencedirect.com/science/article/pii/S0393044002002267

Constructive Many-Body Theory: Constructive many-body theory

Authors: Jacques Magnen Joel Feldman Eugene Trubowitz et al.

Source: Reviews in Mathematical Physics. :1095-1126

Subject Terms: Renormalization group methods applied to problems in quantum field theory, many-Fermion models at temperature zero, Goldstone bosons, Applications of operator theory in the physical sciences, Symmetry breaking in quantum theory, 0103 physical sciences, particle-number symmetry breaking, renormalization group, 16. Peace & justice, 01 natural sciences, Renormalization group methods in equilibrium statistical mechanics, Applications of operator theory in statistical physics, renormalization

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Access URL: https://zbmath.org/854382
https://doi.org/10.1142/s0129055x94000389
http://ui.adsabs.harvard.edu/abs/1994ASMP...20..293F/abstract

Non-Equilibrium Statistical Mechanics of Anharmonic Chains Coupled to Two Heat Baths at Different Temperatures: Non-equilibrium statistical mechanics of anharmonic chains coupled to two heat baths at different temperatures

Authors: Eckmann, Jean-Pierre Pillet, Claude-Alain Rey-Bellet, Luc

Contributors: Eckmann, Jean-Pierre Pillet, Claude-Alain Rey-Bellet, Luc

Source: Communications in Mathematical Physics, Vol. 201, No 3 (1999) pp. 657-697

Subject Terms: [MATH.MATH-DS] Mathematics [math]/Dynamical Systems [math.DS], FOS: Physical sciences, ddc:500.2, Dynamical Systems (math.DS), 01 natural sciences, nonlinear Hamiltonian system, 0103 physical sciences, FOS: Mathematics, ddc:510, [MATH.MATH-MP] Mathematics [math]/Mathematical Physics [math-ph], Mathematics - Dynamical Systems, 0101 mathematics, Mathematical Physics, Mathematical Physics (math-ph), Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics, [PHYS.MPHY] Physics [physics]/Mathematical Physics [math-ph], Nonlinear Sciences - Chaotic Dynamics, Applications of operator theory in statistical physics, 3. Good health, Classical dynamic and nonequilibrium statistical mechanics (general), [NLIN.NLIN-CD] Nonlinear Sciences [physics]/Chaotic Dynamics [nlin.CD], temperature difference, hypoelliptic differential operators, Chaotic Dynamics (nlin.CD), Other physical applications of random processes, commutator method, 500.2

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Access URL: http://arxiv.org/pdf/chao-dyn/9804001
http://arxiv.org/abs/chao-dyn/9804001
https://hal.science/hal-00005454v1
https://doi.org/10.1007/s002200050572
https://zbmath.org/1334920
https://doi.org/10.1007/s002200050572
https://128.84.21.199/abs/chao-dyn/9804001
https://arxiv.org/abs/chao-dyn/9804001
https://arxiv.org/pdf/chao-dyn/9804001.pdf
https://hal.archives-ouvertes.fr/hal-00005454
https://archive-ouverte.unige.ch/unige:12585
https://www.arxiv-vanity.com/papers/chao-dyn/9804001/
https://link.springer.com/10.1007/s002200050572
https://link.springer.com/article/10.1007/s002200050572
https://core.ac.uk/display/24310386
https://archive-ouverte.unige.ch/unige:12585

Stationary Scattering Theory for a Charged Particles Transport Problem: Stationary scattering theory for a charged particles transport problem

Authors: BUSONI, GIORGIO H. Emamirad

Source: Journal of Statistical Physics. 96:377-401

Subject Terms: charged particle transport problem, scattering operator, Partial differential equations of mathematical physics and other areas of application, Scattering theory of linear operators, stationary scattering theory, smooth perturbation, Transport processes in time-dependent statistical mechanics, wave operators, nonautonomous transport problem, 0101 mathematics, 01 natural sciences, Applications of operator theory in statistical physics

File Description: application/xml

Access URL: https://zbmath.org/1366098
https://doi.org/10.1023/a:1004536803141
https://link.springer.com/article/10.1023/A%3A1004536803141
https://ui.adsabs.harvard.edu/abs/1999JSP....96..377B/abstract
https://hdl.handle.net/2158/341949

An Estimate of Growth Bound of Positive C0-Semigroup on Lp Space and its Applications: An estimate of growth bound of positive \(C_0\)-semigroup on \(L^p\) space and its applications

Authors: Zong-Ben Xu Jigen Peng

Source: Integral Equations and Operator Theory. 46:489-500

Subject Terms: Boundary value problems on infinite intervals for ordinary differential equations, essential supremum, One-parameter semigroups and linear evolution equations, exponential stability, Applications of operator theory in chemistry and life sciences, asymptotic behaviour, neutron transport equation, 01 natural sciences, Applications of operator theory in statistical physics, Population dynamics (general), Nuclear reactor theory, neutron transport, 0103 physical sciences, positive \(C_0\)-semigroup, linear system, 0101 mathematics, growth bound

File Description: application/xml

Access URL: https://link.springer.com/article/10.1007/s00020-001-1150-z

Spectral analysis for a class of integral‐difference operators:known facts, new results, and open problems: Spectral analysis for a class of integral-difference operators: known facts, new results, and open problems

Authors: Yuri B. Melnikov

Source: Discrete Dynamics in Nature and Society, Vol 2004, Iss 1, Pp 221-249 (2004)

Subject Terms: QA1-939, Spectrum, resolvent, 0101 mathematics, Integro-differential operators, 01 natural sciences, Mathematics, Applications of operator theory in statistical physics, spectral analysis, Time-dependent statistical mechanics (dynamic and nonequilibrium), integral-difference operators, nonequilibrium statistical mechanics

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Access URL: http://downloads.hindawi.com/journals/ddns/2004/978693.pdf
https://zbmath.org/2148592
https://doi.org/10.1155/s1026022604401022
https://doaj.org/article/da8ebb9235964a7dbe91379af0b12dde
http://downloads.hindawi.com/journals/ddns/2004/978693.pdf
https://downloads.hindawi.com/journals/ddns/2004/978693.pdf
https://www.hindawi.com/journals/ddns/2004/978693/
https://www.maths.tcd.ie/EMIS/journals/HOA/DDNS/2004/1221.pdf
http://emis.maths.adelaide.edu.au/journals/HOA/DDNS/Volume2004_1/249.pdf
https://www.emis.de/journals/HOA/DDNS/Volume2004_1/249.pdf

Operator monotones, the reduction criterion and the relative entropy

Authors: P. Papadopoulos S. Virmani Martin B. Plenio

Source: Journal of Physics A: Mathematical and General. 33:L193-L197

Subject Terms: Quantum Physics, entanglement measures, 0103 physical sciences, quantum relative entropy, FOS: Physical sciences, Quantum equilibrium statistical mechanics (general), Quantum Physics (quant-ph), 01 natural sciences, Applications of operator theory in statistical physics, quantum conditional entropy

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Access URL: http://arxiv.org/pdf/quant-ph/0002075
http://arxiv.org/abs/quant-ph/0002075
https://arxiv.org/abs/quant-ph/0002075
https://arxiv.org/pdf/quant-ph/0002075v2

The spectrum of the Liouville–von Neumann operator in the Hilbert–Schmidt space: The spectrum of the Liouville-von Neumann operator in the Hilbert-Schmidt space

Authors: Antoniou, Ioannis Shkarin, S. Suchanecki, Zdzislaw et al.

Contributors: Antoniou, Ioannis Shkarin, S. Suchanecki, Zdzislaw et al.

Source: Journal of Mathematical Physics. 40:4106-4118

Subject Terms: absolutely continuous spectrum, singular continuous spectrum, Liouvillian, Quantum dynamics and nonequilibrium statistical mechanics (general), Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.), Spectrum, resolvent, 0101 mathematics, 01 natural sciences, Applications of operator theory in statistical physics, point spectrum, Hamiltonian

File Description: application/xml

Access URL: https://zbmath.org/1365988
https://doi.org/10.1063/1.532948
https://aip.scitation.org/doi/full/10.1063/1.532948
http://scitation.aip.org/content/aip/journal/jmp/40/8/10.1063/1.532948
https://pure.qub.ac.uk/en/publications/the-spectrum-of-the-liouville-von-neumann-operator-in-the-hilbert
https://researchportal.vub.be/en/publications/the-spectrum-of-the-liouville-von-neumann-operator-in-the-hilbert
https://ui.adsabs.harvard.edu/abs/1999JMP....40.4106A/abstract
https://biblio.vub.ac.be/vubir/the-spectrum-of-the-liouvillevon-neumann-operator-in-the-hilbertschmidt-space(45e07619-78b7-49b7-880b-e0846e4eeb9e).html
https://hdl.handle.net/20.500.14017/45e07619-78b7-49b7-880b-e0846e4eeb9e

A characterization of the Schechter essential spectrum on Banach spaces and applications

Authors: Aref Jeribi

Source: Journal of Mathematical Analysis and Applications. 271:343-358

Subject Terms: essential spectrum, Applied Mathematics, Transport processes in time-dependent statistical mechanics, Schechter essential spectrum, Spectrum, resolvent, 0101 mathematics, Integro-differential operators, transport operator, 01 natural sciences, Applications of operator theory in statistical physics, Analysis

File Description: application/xml

Access URL: https://www.sciencedirect.com/science/article/abs/pii/S0022247X02001154
https://www.sciencedirect.com/science/article/pii/S0022247X02001154

The Integrated Density of States for Some Random Operators with Nonsign Definite Potentials: The integrated density of states for some random operators with nonsign definite potentials

Authors: Peter D. Hislop Frédéric Klopp

Source: Journal of Functional Analysis. 195:12-47

Subject Terms: integrated density of states, Wegner estimate, Random operators and equations (aspects of stochastic analysis), monotonic variation, 01 natural sciences, Applications of operator theory in statistical physics, localization, Anderson-type random potentials, PDEs with randomness, stochastic partial differential equations, Classical equilibrium statistical mechanics (general), 0101 mathematics, Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics, Schrödinger operators, Random linear operators, Analysis

File Description: application/xml

Access URL: https://zbmath.org/1888340
https://doi.org/10.1006/jfan.2002.3947
https://www.sciencedirect.com/science/article/pii/S0022123602939479
https://core.ac.uk/display/82206932

Approximating spectral invariants of Harper operators on graphs II: Approximating spectral invariants of Harper operators on graphs

Authors: Varghese, M. Schick, T. Yates, S. et al.

Contributors: Varghese, M. Schick, T. Yates, S. et al.

Source: Proceedings of the American Mathematical Society. 131:1917-1923

Subject Terms: High Energy Physics - Theory, algebraic number theory, discrete magnetic Laplacians, von Neumann algebras, maximal ideals, integrated density of states, Spectral problems, spectral geometry, scattering theory on manifolds, FOS: Physical sciences, approximation theorems, 01 natural sciences, Fuglede–Kadison determinant, Mathematics - Spectral Theory, FOS: Mathematics, Difference operators, Quantum equilibrium statistical mechanics (general), Spectrum, resolvent, 0101 mathematics, discrete magnetic Laplacian (DML), Spectral Theory (math.SP), graphs, 58G25(Primary) 39A12 (Secondary), Linear difference operators, Applications of operator theory in statistical physics, Functional Analysis (math.FA), Harper operator, Mathematics - Functional Analysis, Banach spaces, High Energy Physics - Theory (hep-th), amenable groups, Ideals and subalgebras, rational weight functions, Discrete version of topics in analysis, Analysis, 58J22, 46L85, 39A12 (Primary) 46L60 (Secondary)

File Description: application/xml

Access URL: https://www.ams.org/proc/2003-131-06/S0002-9939-02-06739-4/S0002-9939-02-06739-4.pdf
http://arxiv.org/abs/math/0006138
http://arxiv.org/abs/math/0201127
https://zbmath.org/1763769
https://doi.org/10.1006/jfan.2001.3841
https://arxiv.org/abs/math/0201127
https://arxiv.org/pdf/math/0006138.pdf
https://ui.adsabs.harvard.edu/abs/2000math......6138M/abstract
https://core.ac.uk/display/12729564
https://www.sciencedirect.com/science/article/pii/S0022123601938418
https://www.ams.org/journals/proc/2003-131-06/S0002-9939-02-06739-4/home.html
https://www.ams.org/proc/2003-131-06/S0002-9939-02-06739-4/S0002-9939-02-06739-4.pdf
https://www.jstor.org/stable/info/1194371
https://resolver.sub.uni-goettingen.de/purl?gro-2/4479

Statistical Physics of Information in Open Many-Body Systems

Authors: Weinstein, Zack

Subject Terms: Condensed matter physics, Quantum physics, Statistical physics, Physics, computational observables, measurement-altered criticality, operator growth, quantum entanglement, random circuits, strong-to-weak spontaneous symmetry breaking

File Description: application/pdf

Access URL: https://escholarship.org/uc/item/7gp04810
https://escholarship.org/content/qt7gp04810/qt7gp04810.pdf

Optimal spectral theory of the linear Boltzmann equation

Authors: Mustapha Mokhtar-Kharroubi

Source: Journal of Functional Analysis. 226:21-47

Subject Terms: Compactness, One-parameter semigroups and linear evolution equations, Applications of operator theory to differential and integral equations, spectral theory, 01 natural sciences, Applications of operator theory in statistical physics, Nuclear reactor theory, neutron transport, neutron transport semigroup, compactness, 0101 mathematics, Integro-differential operators, Spectral theory, Neutron transport semigroup, Analysis

File Description: application/xml

Access URL: https://zbmath.org/2207230
https://doi.org/10.1016/j.jfa.2005.02.014
https://www.sciencedirect.com/science/article/pii/S0022123605001941
https://core.ac.uk/display/82457033

Internal Lifshitz tails for Schrödinger operators with random potentials: Internal Lifshitz tails for Schrödinger operators with random potentials.

Authors: Frédéric Klopp

Source: Journal of Mathematical Physics. 43:2948-2958

Subject Terms: Linear difference operators, 0101 mathematics, Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics, Random linear operators, 01 natural sciences, Applications of operator theory in statistical physics, Selfadjoint operator theory in quantum theory, including spectral analysis

File Description: application/xml

Access URL: https://ui.adsabs.harvard.edu/abs/2002JMP....43.2948K/abstract
https://aip.scitation.org/doi/10.1063/1.1470706

MATHEMATICAL PROPERTIES OF INELASTIC SCATTERING MODELS IN LINEAR KINETIC THEORY: Mathematical properties of inelastic scattering models in linear kinetic theory

Authors: Jacek Banasiak

Source: Mathematical Models and Methods in Applied Sciences. 10:163-186

Subject Terms: linear Boltzmann-Maxwell, Rarefied gas flows, Boltzmann equation in fluid mechanics, drift-diffusion approximation, collision operators, One-parameter semigroups and linear evolution equations, Kinetic theory of gases in time-dependent statistical mechanics, Numerical methods of time-dependent statistical mechanics, solvability of the Cauchy problem, inelastic scattering, 0101 mathematics, 01 natural sciences, Applications of operator theory in statistical physics

File Description: application/xml

Access URL: https://zbmath.org/1882701
https://doi.org/10.1142/s0218202500000112
https://www.worldscientific.com/doi/10.1142/S0218202500000112

Integrated Density of States for Ergodic Random Schrödinger Operators on Manifolds: Integrated density of states for ergodic random Schrödinger operators on manifolds

Authors: Peyerimhoff, N. Veselić, I.

Source: Geometriae dedicata, 2002, Vol.91(1), pp.117-135 [Peer Reviewed Journal]

Subject Terms: 82B44, 58J35, 47B80, integrated density of states, FOS: Physical sciences, Heat and other parabolic equation methods for PDEs on manifolds, Mathematical Physics (math-ph), random Schrödinger operators, 16. Peace & justice, Riemannian manifolds with compact quotient, Applications of operator theory in statistical physics, Mathematics - Spectral Theory, amenable groups, FOS: Mathematics, Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics, Random linear operators, Spectral Theory (math.SP), Mathematical Physics, ergodic theorem

File Description: application/xml; application/pdf

Access URL: http://dro.dur.ac.uk/18937/1/18937.pdf
http://arxiv.org/abs/math-ph/0210047
https://zbmath.org/1786841
https://doi.org/10.1023/a:1016222913877
http://dro.dur.ac.uk/18937/
https://link.springer.com/article/10.1023/A:1016222913877
http://ui.adsabs.harvard.edu/abs/2002math.ph..10047P/abstract
https://dro.dur.ac.uk/18937/
https://arxiv.org/pdf/math-ph/0210047.pdf
https://arxiv.org/pdf/math-ph/0210047