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eBay item number:336098727391
Last updated on 15 Aug, 2025 05:14:20 AESTView all revisionsView all revisions

Item specifics

Condition
Very good: A book that does not look new and has been read but is in excellent condition. No obvious ...
Release Year
2000
Book Title
Reduced Density Matrices: Coulson’s Challenge (Lecture Notes...
ISBN
9783540671480

About this product

Product Identifiers

Publisher
Springer Berlin / Heidelberg
ISBN-10
354067148X
ISBN-13
9783540671480
eBay Product ID (ePID)
19038710972

Product Key Features

Number of Pages
Xii, 282 Pages
Language
English
Publication Name
Reduced Density Matrices : Coulson's Challenge
Subject
Chemistry / Physical & Theoretical, Matrices, System Theory, Applied
Publication Year
2000
Type
Textbook
Subject Area
Mathematics, Science
Author
V. I. Yukalov, A. J. Coleman
Series
Lecture Notes in Chemistry Ser.
Format
Trade Paperback

Dimensions

Item Weight
33.2 Oz
Item Length
9.3 in
Item Width
6.1 in

Additional Product Features

Intended Audience
Scholarly & Professional
LCCN
00-028022
Dewey Edition
21
Series Volume Number
72
Number of Volumes
1 vol.
Illustrated
Yes
Dewey Decimal
530.12/2
Table Of Content
1 Basic properties.- 1.1 Reduced Density Matrices.- 1.2 N-representability.- 1.3 Norbs, Nags and Least Squares.- 1.4 Fock Space.- 1.5 Reduced Density Matrices on Fock Space.- 1.6 Unitary Invariance.- 1.7 Notes.- 1.8 Exercises.- 2 N-Representability.- 2.1 The p-rank of a State.- 2.2 Convexity.- 2.3 Ensemble N-representability.- 2.4 A Family of Convex Surfaces.- 2.5 Parameterizing.- 2.6 The Total Energy.- 2.7 The One-matrix.- 2.8 Notes.- 2.9 Exercises.- 2.10 Appendix -- Figures for Chapter 2.- 3 Correlation.- 3.1 Sasaki's Formula.- 3.2 Bounds on for fermions.- 3.3 Necessary Conditions.- 3.4 A Universal Fermion Model.- 3.5 Strong Orthogonality.- 3.6 Unitary Decomposition.- 3.7 Reduced Hamiltonian Orbitals.- 3.8 Intracules, extracules and Statistics.- 3.9 Notes for Chapter 3.- 3.10 Exercises for Chapter 3.- 3.11 Appendix -- The Pfaffian.- 4 Generalized AGP.- 4.1 Canonical form for g(12).- 4.2 Properties of GAGP.- 4.3 Extreme AGP.- 4.4 Scope of GAGP.- 4.5 Error Control.- 4.6 The GAGP Energy.- 4.7 Critical values of E.- 4.8 Hartree-Fock-Bogolubov Equations.- 4.9 Notes.- 4.10 Exercises.- 5 Boson Systems.- 5.1 Yang's Paper.- 5.2 Order Indices.- 5.3 Green's Functions and Propagators.- 5.4 Bose Condensation.- 5.5 Mesoscopic Condensation.- 5.6 Bose Liquid.- 5.7 Collective Excitations.- 5.8 Notes.- 6 Fermion Systems.- 6.1 The Superconducting Transition.- 6.2 Heterophase Superconductor.- 6.3 Notes.- 6.4 Figures.- 7 Coulson's Challenge.- 7.1 The Reduced Hamiltonian.- 7.2 Pairon Distribution function.- 7.3 Facing the Challenge!.- 7.4 Notes.
Synopsis
The authors demonstrate that the essential information about order in, and energy levels of physical systems is encapsulated in the second order reduced density matrix. They have discovered an algorithm to obtain a reasonable accurate expression for the 2-matrix of an N-particle state to make nearly all properties of matter which are of interest to chemists and physicists accessible.
LC Classification Number
QD450-801

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