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Many-body Schrodinger equation: (Record no. 433380)

MARC details
000 -LEADER
fixed length control field 02815 a2200265 4500
003 - CONTROL NUMBER IDENTIFIER
control field ISI Library, Kolkata
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20240430114613.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 240430b |||||||| |||| 00| 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9789819937035
040 ## - CATALOGING SOURCE
Original cataloging agency ISI Library
Language of cataloging English
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Edition number 23
Classification number 530.124
Item number Is85
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Isozaki, Hiroshi
245 10 - TITLE STATEMENT
Title Many-body Schrodinger equation:
Remainder of title scattering theory and eigenfunction expansions/
Statement of responsibility, etc Hiroshi isozaki
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc Singapore:
Name of publisher, distributor, etc Springer Nature,
Date of publication, distribution, etc 2023
300 ## - PHYSICAL DESCRIPTION
Extent xvii, 399 pages,
Dimensions 24 cm.
490 0# - SERIES STATEMENT
Series statement Mathematical Physics Studies
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc Includes bibliography and index
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Self-adjoint operators and spectra -- Two-body problem -- Asymptotic completeness for many-body systems -- resolvent of multi-particle system -- Three-body problem and the Eigenfunction expansion -- Supplement
520 ## - SUMMARY, ETC.
Summary, etc Spectral properties for Schrödinger operators are a major concern in quantum mechanics both in physics and in mathematics. For the few-particle systems, we now have sufficient knowledge for two-body systems, although much less is known about N-body systems. The asymptotic completeness of time-dependent wave operators was proved in the 1980s and was a landmark in the study of the N-body problem. However, many problems are left open for the stationary N-particle equation. Due to the recent rapid development of computer power, it is now possible to compute the three-body scattering problem numerically, in which the stationary formulation of scattering is used. This means that the stationary theory for N-body Schrödinger operators remains an important problem of quantum mechanics. It is stressed here that for the three-body problem, we have a satisfactory stationary theory. This book is devoted to the mathematical aspects of the N-body problem from both the time-dependent and stationary viewpoints. The main themes are:<br/>(1) The Mourre theory for the resolvent of self-adjoint operators<br/>(2) Two-body Schrödinger operators—Time-dependent approach and stationary approach<br/>(3) Time-dependent approach to N-body Schrödinger operators<br/>(4) Eigenfunction expansion theory for three-body Schrödinger operators<br/>Compared with existing books for the many-body problem, the salient feature of this book consists in the stationary scattering theory (4). The eigenfunction expansion theorem is the physical basis of Schrödinger operators. Recently, it proved to be the basis of inverse problems of quantum scattering. This book provides necessary background information to understand the physical and mathematical basis of Schrödinger operators and standard knowledge for future development. <br/>
650 #4 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Physics
650 #4 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Schrodinger Equation
650 #4 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Schrodinger Operator
650 #4 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Eigenfunction Expansion
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type Books
Source of classification or shelving scheme Dewey Decimal Classification
Holdings
Lost status Not for loan Home library Current library Date acquired Source of acquisition Cost, normal purchase price Full call number Accession Number Koha item type
    ISI Library, Kolkata ISI Library, Kolkata 07/03/2024 424 9822.93 530.124 Is85 138627 Books
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