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 |