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Many-Particle Hamiltonians: Spectra and Scattering
 
Edited by: R. A. Minlos
Many-Particle Hamiltonians: Spectra and Scattering
Hardcover ISBN:  978-0-8218-4104-4
Product Code:  ADVSOV/5
List Price: $108.00
MAA Member Price: $97.20
AMS Member Price: $86.40
eBook ISBN:  978-1-4704-4552-2
Product Code:  ADVSOV/5.E
List Price: $101.00
MAA Member Price: $90.90
AMS Member Price: $80.80
Hardcover ISBN:  978-0-8218-4104-4
eBook: ISBN:  978-1-4704-4552-2
Product Code:  ADVSOV/5.B
List Price: $209.00 $158.50
MAA Member Price: $188.10 $142.65
AMS Member Price: $167.20 $126.80
Many-Particle Hamiltonians: Spectra and Scattering
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Many-Particle Hamiltonians: Spectra and Scattering
Edited by: R. A. Minlos
Hardcover ISBN:  978-0-8218-4104-4
Product Code:  ADVSOV/5
List Price: $108.00
MAA Member Price: $97.20
AMS Member Price: $86.40
eBook ISBN:  978-1-4704-4552-2
Product Code:  ADVSOV/5.E
List Price: $101.00
MAA Member Price: $90.90
AMS Member Price: $80.80
Hardcover ISBN:  978-0-8218-4104-4
eBook ISBN:  978-1-4704-4552-2
Product Code:  ADVSOV/5.B
List Price: $209.00 $158.50
MAA Member Price: $188.10 $142.65
AMS Member Price: $167.20 $126.80
  • Book Details
     
     
    Advances in Soviet Mathematics
    Volume: 51991; 194 pp
    MSC: Primary 47; 81; 82; Secondary 34;

    This collection deals with several different topics related to the construction and spectral analysis of Hamiltonians of various systems arising in mathematical physics. Included are a study of the disposition and character of resonances for certain operators, with applications to solid body physics; a survey of work in the perturbation of Hamiltonians in fermion systems; an examination of the construction of the Hamiltonian for three different pointwise interacting quantum particles; and a study of the lower branches of the Hamiltonian of the lattice model for chromodynamics. The final paper presents an extensive survey of problems related to the spectrum of finite-particle lattice Hamiltonians, which arise in quantum field theory and in models in the theory of solid bodies. The book provides an introduction of sorts to a series of new methods and problems in mathematical physics.

  • Table of Contents
     
     
    • Articles
    • Zh. Abdullaev and S. Lakaev — On the spectral properties of the matrix-valued Friedrichs model
    • D. Botvich and V. Malyshev — Asymptotic completeness and all that for an infinite number of fermions
    • A. Mel′ikov and R. Minlos — On the pointlike interaction of three different particles
    • R. Minlos and E. Zhizhina — Meson states in lattice QCD
    • A. Mogilner — Hamiltonians in solid-state physics as multiparticle discrete Schrödinger operators: Problems and results
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 51991; 194 pp
MSC: Primary 47; 81; 82; Secondary 34;

This collection deals with several different topics related to the construction and spectral analysis of Hamiltonians of various systems arising in mathematical physics. Included are a study of the disposition and character of resonances for certain operators, with applications to solid body physics; a survey of work in the perturbation of Hamiltonians in fermion systems; an examination of the construction of the Hamiltonian for three different pointwise interacting quantum particles; and a study of the lower branches of the Hamiltonian of the lattice model for chromodynamics. The final paper presents an extensive survey of problems related to the spectrum of finite-particle lattice Hamiltonians, which arise in quantum field theory and in models in the theory of solid bodies. The book provides an introduction of sorts to a series of new methods and problems in mathematical physics.

  • Articles
  • Zh. Abdullaev and S. Lakaev — On the spectral properties of the matrix-valued Friedrichs model
  • D. Botvich and V. Malyshev — Asymptotic completeness and all that for an infinite number of fermions
  • A. Mel′ikov and R. Minlos — On the pointlike interaction of three different particles
  • R. Minlos and E. Zhizhina — Meson states in lattice QCD
  • A. Mogilner — Hamiltonians in solid-state physics as multiparticle discrete Schrödinger operators: Problems and results
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.