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

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The instance Linear infinite-particle operators, V.A. Malyshev, R.A. Minlos represents a material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.

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Label

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

Statement of responsibility

V.A. Malyshev, R.A. Minlos

Instantiates

• Linear infinite-particle operators

Publication

• Providence, RI, American Mathematical Society, ©1995

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

Record ID

.b130468484

System control number

(OCoLC)31434380