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Hardcover ISBN: | 978-0-8218-4104-4 |
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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 |
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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 |
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Book DetailsAdvances in Soviet MathematicsVolume: 5; 1991; 194 ppMSC: 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.
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Table of Contents
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Articles
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Zh. Abdullaev and S. Lakaev — On the spectral properties of the matrix-valued Friedrichs model
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D. Botvich and V. Malyshev — Asymptotic completeness and all that for an infinite number of fermions
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A. Mel′ikov and R. Minlos — On the pointlike interaction of three different particles
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R. Minlos and E. Zhizhina — Meson states in lattice QCD
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A. Mogilner — Hamiltonians in solid-state physics as multiparticle discrete Schrödinger operators: Problems and results
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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