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The Resource Linear infinite-particle operators, V.A. Malyshev, R.A. Minlos

Linear infinite-particle operators, V.A. Malyshev, R.A. Minlos

Label
Linear infinite-particle operators
Title
Linear infinite-particle operators
Statement of responsibility
V.A. Malyshev, R.A. Minlos
Creator
Contributor
Subject
Language
  • eng
  • rus
  • eng
Member of
Cataloging source
DLC
http://library.link/vocab/creatorName
Malyshev, V. A.
Dewey number
530.1/33
Illustrations
illustrations
Index
no index present
Language note
Translation of : Lineĭnye operatory v beskonechnochastichnykh sistemakh
LC call number
  • QC20.7.O65
  • QA3
LC item number
  • M35 1995
  • .T7 v.143
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/relatedWorkOrContributorName
Minlos, R. A.
Series statement
Translations of mathematical monographs
Series volume
volume 143
http://library.link/vocab/subjectName
  • Linear operators
  • Functional analysis
  • Markov processes
  • Statistical physics
  • Quantum field theory
  • Mathematical physics
  • Functional analysis
  • Linear operators
  • Markov processes
  • Mathematical physics
  • Quantum field theory
  • Statistical physics
  • Lineaire operatoren
  • Markov-processen
  • Opérateurs linéaires
  • Analyse fonctionnelle
  • Markov, processus de
  • Physique statistique
Label
Linear infinite-particle operators, V.A. Malyshev, R.A. Minlos
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 295-298)
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Expansion of Heisenberg dynamics
  • 5.
  • Euclidean approach
  • 6.
  • Corpuscular picture (quasiparticles and scattering theory for infinite quantum systems)
  • Ch. 1.
  • Construction of a Nonequilibrium Dynamics
  • 1.
  • The dynamics of an infinite one-dimensional classical gas of interacting solid rods
  • 2.
  • Introduction. What This Book is About
  • A quick review of C*-algebras
  • 3.
  • Fock spaces and second-quantization operators
  • 4.
  • The CAR algebra and its free dynamics. Dynamics of a system of interacting fermions. Analog of Robinson's theorem
  • 5.
  • Linear dynamics for fermion and boson systems
  • 6.
  • Random dynamics (stochastic Langevin equations)
  • 7.
  • Ch. 0.
  • Marginally closed Markov chains with local interaction
  • Ch. 2.
  • Construction of an Equilibrium Dynamics
  • 1.
  • Ground and temperature states
  • 2.
  • Ground state for an infinite system of harmonic oscillators
  • 3.
  • A free quasistate
  • 4.
  • Extended Introduction
  • Fock representation for the dynamics of free systems
  • 5.
  • The Euclidean approach
  • 6.
  • Euclidean fields for temperature states. The modular operator
  • Ch. 3.
  • Spectral Analysis of the Euclidean Field Transfer Matrix
  • 1.
  • Cluster expansion of the transfer matrix
  • 2.
  • 2.
  • Cluster operators. Definition and basic properties
  • 3.
  • Invariant k-particle subspaces of a cluster operator
  • 4.
  • Some examples
  • 5.
  • Spectral analysis of the transfer matrix for a fermion field
  • 6.
  • Continuous-time models
  • 7.
  • Basic examples of physical systems
  • Spectral analysis of k-particle cluster operators
  • 8.
  • Asymptotic decay of the correlation functions for Gibbs fields
  • Ch. 4.
  • Asymptotic Completeness for Interacting Fermion Systems
  • 1.
  • Fermi systems with bounded interaction
  • 2.
  • Asymptotic completeness for interactions with vacuum polarization (linked cluster theorem)
  • 3.
  • 3.
  • Fermi gas interacting weakly with a particle
  • 4.
  • Weak-interaction limit for a quantum Schrodinger particle interacting with Fermi gas
  • Ch. 5.
  • The Method of Bethe-Salpeter Kernels (Dyson's Equation)
  • 1.
  • The Dyson equation and the Bethe-Salpeter kernel method for the Ising field
  • 2.
  • One-particle spectrum of the transfer matrix for a Gibbs field with unbounded spin. Description of the model and results
  • 3.
  • Infinite systems and the thermodynamic limit
  • Cluster expansion of the covariance operators
  • 4.
  • Dyson's equation for the covariance operators
  • 5.
  • Analytic structure of the Green functions
  • Guide to the Literature
  • References
  • 4.
Control code
31434380
Dimensions
26 cm.
Extent
viii, 298 pages
Isbn
9780821802830
Lccn
94042578
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
(OCoLC)31434380
Label
Linear infinite-particle operators, V.A. Malyshev, R.A. Minlos
Publication
Bibliography note
Includes bibliographical references (pages 295-298)
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Expansion of Heisenberg dynamics
  • 5.
  • Euclidean approach
  • 6.
  • Corpuscular picture (quasiparticles and scattering theory for infinite quantum systems)
  • Ch. 1.
  • Construction of a Nonequilibrium Dynamics
  • 1.
  • The dynamics of an infinite one-dimensional classical gas of interacting solid rods
  • 2.
  • Introduction. What This Book is About
  • A quick review of C*-algebras
  • 3.
  • Fock spaces and second-quantization operators
  • 4.
  • The CAR algebra and its free dynamics. Dynamics of a system of interacting fermions. Analog of Robinson's theorem
  • 5.
  • Linear dynamics for fermion and boson systems
  • 6.
  • Random dynamics (stochastic Langevin equations)
  • 7.
  • Ch. 0.
  • Marginally closed Markov chains with local interaction
  • Ch. 2.
  • Construction of an Equilibrium Dynamics
  • 1.
  • Ground and temperature states
  • 2.
  • Ground state for an infinite system of harmonic oscillators
  • 3.
  • A free quasistate
  • 4.
  • Extended Introduction
  • Fock representation for the dynamics of free systems
  • 5.
  • The Euclidean approach
  • 6.
  • Euclidean fields for temperature states. The modular operator
  • Ch. 3.
  • Spectral Analysis of the Euclidean Field Transfer Matrix
  • 1.
  • Cluster expansion of the transfer matrix
  • 2.
  • 2.
  • Cluster operators. Definition and basic properties
  • 3.
  • Invariant k-particle subspaces of a cluster operator
  • 4.
  • Some examples
  • 5.
  • Spectral analysis of the transfer matrix for a fermion field
  • 6.
  • Continuous-time models
  • 7.
  • Basic examples of physical systems
  • Spectral analysis of k-particle cluster operators
  • 8.
  • Asymptotic decay of the correlation functions for Gibbs fields
  • Ch. 4.
  • Asymptotic Completeness for Interacting Fermion Systems
  • 1.
  • Fermi systems with bounded interaction
  • 2.
  • Asymptotic completeness for interactions with vacuum polarization (linked cluster theorem)
  • 3.
  • 3.
  • Fermi gas interacting weakly with a particle
  • 4.
  • Weak-interaction limit for a quantum Schrodinger particle interacting with Fermi gas
  • Ch. 5.
  • The Method of Bethe-Salpeter Kernels (Dyson's Equation)
  • 1.
  • The Dyson equation and the Bethe-Salpeter kernel method for the Ising field
  • 2.
  • One-particle spectrum of the transfer matrix for a Gibbs field with unbounded spin. Description of the model and results
  • 3.
  • Infinite systems and the thermodynamic limit
  • Cluster expansion of the covariance operators
  • 4.
  • Dyson's equation for the covariance operators
  • 5.
  • Analytic structure of the Green functions
  • Guide to the Literature
  • References
  • 4.
Control code
31434380
Dimensions
26 cm.
Extent
viii, 298 pages
Isbn
9780821802830
Lccn
94042578
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
(OCoLC)31434380

Library Locations

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      38.944377 -92.326537
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