ENGLISH

Quantum mechanics for Hamiltonians defined as quadratic forms

By Barry Simon

Book information

Publisher
Princeton Univ Pr
Year
1971
ISBN
9780691080901, 0691080909
LCC
QC174.5 .S56
Open Library ID
OL21623595M
Language
english
Format
DJVU
Filesize
1 MB (1474770 bytes)
Series
Princeton Series in Physics
Pages
260\260
Library
Kolxo3
DPI
300
Time added
2009-07-20 03:45:11

Description

It is our purpose in this monograph to present a complete, rigorous mathematical treatment of two body quantum mechanics for a wider class of potentials than is normally treated in the literature. At the same time, we will review the theory of the "usual" Kato classes, although no attempt has been made to make this review exhaustive or complete. The scope of what we present is best delineated by stating the limits of this work: we take for granted the standard Hilbert space formalism, and our main goal is to prove forward dispersion relations from first principles. For example we do not assume the Lippman-Schwinger equation but prove it within the framework of time-dependent scattering theory.

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