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Reduced Density Matrices: Coulson’s Challenge de A.J. Coleman

Reduced Density Matrices: Coulson’s Challenge: Lecture Notes in Chemistry, cartea 72

Autor A.J. Coleman, V. I. Yukalov
en Limba Engleză Paperback – 14 apr 2000
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.
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Specificații

ISBN-13: 9783540671480
ISBN-10: 354067148X
Pagini: 300
Ilustrații: XII, 282 p.
Dimensiuni: 155 x 235 x 16 mm
Greutate: 0.42 kg
Ediția:2000
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Lecture Notes in Chemistry

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

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.

Textul de pe ultima copertă

The authors demonstrate that the essential information about order, 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.