Many-Particle Hamiltonians: Spectra and Scattering (Advances in Soviet Mathematics, 5)

ISBN 10: 0821841041 / ISBN 13: 9780821841044

Editore: Amer Mathematical Society, 1991

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Riassunto:

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.

Contenuti: Zh I Abdullaev and S N Lakaev, On the spectral properties of the matrix-valued Friedrichs model; D D Botvich and V A Malyshev, Asymptotic completeness and all that for an infinite number of fermions; A M Mel'nikov and R A Minlos, On the pointlike interaction of three different particles; R A Minlos and E A Zhizhina, Meson states in lattice QCD; A I Mogilner, Hamiltonians in solid-state physics as multiparticle discrete Schrodinger operators; Problems and results.

Dati bibliografici

Titolo: Many-Particle Hamiltonians: Spectra and ...
Casa editrice: Amer Mathematical Society
Data di pubblicazione: 1991
Legatura: hardcover
Condizione: Very Good