Concepts of highly excited electronic systems:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Weinheim
Wiley-VCH
2003
|
| Edition: | 1. ed. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Includes bibliographical references ( p. [269]-288) and index |
| Physical Description: | XVI, 299 S. Ill. |
| ISBN: | 3527403353 |
Staff View
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| 100 | 1 | |a Berakdar, Jamal |d 1964- |e Verfasser |0 (DE-588)128384751 |4 aut | |
| 245 | 1 | 0 | |a Concepts of highly excited electronic systems |c Jamal Berakdar |
| 250 | |a 1. ed. | ||
| 264 | 1 | |a Weinheim |b Wiley-VCH |c 2003 | |
| 300 | |a XVI, 299 S. |b Ill. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Includes bibliographical references ( p. [269]-288) and index | ||
| 650 | 4 | |a Coulomb excitation | |
| 650 | 4 | |a Coulomb potential | |
| 650 | 4 | |a Electronic excitation | |
| 650 | 4 | |a Few-body problem | |
| 650 | 4 | |a Two-body problem | |
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Record in the Search Index
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| adam_text | JAMAL BERAKDAR CONCEPTS OF HIGHLY EXCITED ELECTRONIC SYSTEMS WILEY- VCH
WILEY-VCH GMBH & CO. KGAA CONTENTS 1 THE TWO-BODY KEPLER PROBLEM: A
CLASSICAL TREATMENT 1 2 QUANTUM MECHANICS OF TWO-BODY COULOMB SYSTEMS 5
2.1 HISTORICAL BACKGROUND 5 2.2 GROUP THEORETICAL APPROACH TO THE
TWO-BODY PROBLEM 6 2.2.1 THE BOUND SPECTRUM 7 2.2.2 EIGENSTATES OF TWO
CHARGED-PARTICLE SYSTEMS 8 2.3 THE TWO-BODY COULOMB WAVE FUNCTIONS 9
2.3.1 SPHERICAL COORDINATES 10 2.3.2 PARABOLIC COORDINATES 10 2.3.3
ANALYTICAL CONTINUATION OF THE TWO-BODY COULOMB WAVE FUNCTIONS . . 13 3
ONE PARTICLE IN AN ARBITRARY POTENTIAL 17 3.1 THE VARIABLE-PHASE METHOD
.17 3.2 PHASE-AMPLITUDE EQUATIONS FOR NON-LOCAL POTENTIALS 18 3.2.1 THE
LOCAL POTENTIAL CASE 22 3.2.2 NUMERICAL CONSIDERATIONS 22 3.3 THE
SCATTERING AMPLITUDE REPRESENTATION 23 3.4 ILLUSTRATIVE EXAMPLES 26 4
GROUND STATES OF MANY-ELECTRON SYSTEMS 31 4.1 TIME-SCALE SEPARATION 32
4.2 HARTREE-FOCK APPROXIMATION 34 4.2.1 BASIS SET EXPANSION 36 4.3
CONFIGURATION INTERACTION 36 XII CONTENTS 4.4 THE COUPLED CLUSTER METHOD
37 4.5 VARIATIONAL AND DIFFUSION MONTE CARLO TECHNIQUES 38 4.6 DENSITY
FUNCTIONAL THEORY 38 4.6.1 THE HOHENBERG-KOHN THEOREM 39 4.6.2 THE
KOHN-SHAM EQUATIONS 41 4.6.3 THE LOCAL DENSITY APPROXIMATION 43 4.6.4
GRADIENT CORRECTIONS 44 4.6.5 IMPLICIT ORBITAL FUNCTIONALS 45 4.6.6
SELF-INTERACTION CORRECTIONS 45 4.6.7 EXTENSIONS OF DFT 47 5 ELECTRONIC
EXCITATIONS 49 5.1 ELECTRIC DIPOLE TRANSITIONS 49 5.2
SINGLE-PHOTOELECTRON EMISSION 52 5.2.1 ONE-ELECTRON PHOTOEMISSION FROM
UNPOLARIZED TARGETS 52 5.2.2 SINGLE PHOTOEMISSION FROM POLARIZED TARGETS
53 5.3 GENERAL PROPERTIES OF EMITTED DIPOLE RADIATION 55 5.4 SYMMETRY
PROPERTIES OF MANY-BODY PHOTOEXCITATIONS 58 5.4.1 PROPENSITY RULES FOR
THE DICHROISM IN MULTIPLE PHOTOIONIZATION .... 62 5.5 RESONANT
PHOTOEXCITAIONS PROCESSES 65 5.5.1 SINGLE CHANNEL 65 5.5.2 MULTI-CHANNEL
RESONANT PHOTOEXCITATIONS 68 5.6 FEW-BODY RESONANCES 71 5.6.1
REGULARITIES AND CLASSIFICATIONS OF DOUBLY EXCITED STATES 72 5.6.2
COMPLEX ROTATION METHOD 76 6 TWO-ELECTRONS SYSTEMS AT THE COMPLETE
FRAGMENTATION THRESHOLD: WANNIER THEORY 79 6.1 CLASSICAL MECHANICS OF
TWO EXCITED ELECTRONS AT THE DOUBLE ESCAPE THRESHOLD . 80 6.1.1 WANNIER
THRESHOLD LAW: A CLASSICAL APPROACH 85 6.1.2 REMARKS ON THE CLASSICAL
TREATMENT OF TWO ELECTRONS AT THRESHOLD ... 86 CONTENTS XIII 7 QUANTUM
MECHANICS OF MANY-ELECTRON SYSTEMS AT THE DOUBLE ESCAPE THRESHOLD 89 7.1
GENERALITIES OF MANY-ELECTRON THRESHOLD ESCAPE 89 7.1.1 CROSS SECTION
DEPENDENCE ON THE NUMBER OF ESCAPING PARTICLES .... 89 7.1.2 STRUCTURE
OF THE TOTAL POTENTIAL SURFACE FOR N ELECTRON SYSTEMS .... 91 7.1.3
QUANTUM MECHANICS OF TV ELECTRONS AT LOW KINETIC ENERGIES 94 7.1.4
QUANTAL CALCULATIONS OF THE UNIVERSAL THRESHOLD BEHAVIOUR 98 7.1.5
INCORPORATION OF SYMMETRY AND SPIN IN MANY-PARTICLE WAVE FUNCTIONS. 99 8
HIGHLY EXCITED STATES OF MANY-BODY SYSTEMS 101 8.1 GENERAL REMARKS ON
THE STRUCTURE OF THE N PARTICLE SCHROEDINGER EQUATION ... 101 8.1.1 THE
FOCK EXPANSION 101 8.1.2 THE KATO CUSP CONDITIONS 103 8.1.3 BOUNDARY
CONDITIONS FOR THE IV-BODY PROBLEM 104 9 THE THREE-BODY COULOMB SYSTEM
107 9.1 APPROPRIATE COORDINATE SYSTEMS 109 9.1.1 SEPARATION OF INTERNAL
AND EXTERNAL COORDINATES 110 9.1.2 SPHERICAL POLAR COORDINATES 110 9.1.3
HYPERSPHERICAL COORDINATES 110 9.1.4 RELATIVE COORDINATES ILL 9.1.5
ELLIPTIC COORDINATES 112 9.2 COORDINATE SYSTEMS FOR CONTINUUM PROBLEMS
112 9.2.1 JACOBI COORDINATES 113 9.2.2 PARABOLIC COORDINATES 115 9.2.3
PARABOLIC-RELATIVE COORDINATES 116 9.2.4 PARABOLIC-HYPERSPHERICAL
COORDINATES 117 9.3 APPROXIMATE THREE-BODY STATES AND THE
PARABOLIC-RELATIVE COORDINATES 118 9.4 ASYMPTOTIC PROPERTIES OF THE
THREE-BODY WAVE EQUATION 122 9.5 DYNAMICAL SCREENING IN FEW-BODY SYSTEMS
129 9.5.1 TWO ELECTRONS IN THE FIELD OF A POSITIVE ION 131 9.5.2
DYNAMICAL SCREENING VIA COMPLEX EFFECTIVE WAVE VECTORS 134 9.5.3
THRESHOLD BEHAVIOUR 135 XIV CONTENTS 9.5.4 KATO CUSP CONDITIONS 139
9.5.5 COMPATIBILITY WITH THE FOCK EXPANSION 141 9.6
PARABOLIC-HYPERSPHERICAL APPROACH 141 9.6.1 PARABOLIC-HYPERSPHERICAL
SCHROEDINGER EQUATION 142 9.7 PARABOLIC-HYPERSPHERICAL ADIABATIC
EXPANSION 146 9.8 THREE-BODY WAVE FUNCTIONS WITH MIXED BOUNDARY
CONDITIONS 148 9.8.1 ASYMPTOTIC STATES OF TWO BOUND ELECTRONS 152 9.9
PARTIAL-WAVE DECOMPOSITION OF THREE-BODY WAVE FUNCTIONS 153 9.9.1
EXPANSION OF COULOMB WAVE FUNCTIONS IN SPHERICAL HARMONICS .... 154
9.9.2 PARTIAL WAVE EXPANSION OF APPROXIMATE THREE-BODY WAVE FUNCTIONS .
. 155 9.9.3 THREE-BODY S STATES 160 9.9.4 PARTIAL-WAVE EXPANSION OF
TWO-CENTER COULOMB FUNCTIONS 161 10 CORRELATED CONTINUUM STATES OF
N-BODY SYSTEMS 169 10.1 THE INTERACTING ELECTRON GAS 170 10.2 EXCITED
STATES OF TV INTERACTING ELECTRONS 172 10.2.1 FORMAL DEVELOPMENT 173
10.2.2 NORMALIZING THE IV-BODY WAVE FUNCTIONS 179 10.2.3 THE TWO-BODY
CUSP CONDITIONS 180 11 GREEN S FUNCTION APPROACH AT ZERO TEMPERATURES
183 11.1 DEFINITIONS AND GENERAL REMARKS ON THE GREEN S FUNCTIONS 184
11.1.1 THE TRANSITION (T) OPERATOR 187 11.1.2 THE M0LLER AND THE
SCATTERING (S) OPERATORS 188 11.1.3 TRANSITION PROBABILITIES AND CROSS
SECTIONS 190 11.2 THE COULOMB PROBLEM IN MOMENTUM SPACE 191 11.3 THE
COULOMB TWO-BODY GREEN S FUNCTIONS 195 11.4 THE OFF-SHELL T-MATRIX 199
11.4.1 THE ON-SHELL LIMIT OF THE COULOMB T MATRIX ELEMENTS 200 12
OPERATOR APPROACH TO FINITE MANY-BODY SYSTEMS 205 12.1 FADDEEV APPROACH
TO THE THREE-BODY PROBLEM 206 CONTENTS XV 12.1.1 THE LOVELACE OPERATOR,
LOVELACE EQUATIONS AND AGS EQUATIONS . . . . 207 12.2 REDUCTION SCHEME
OF THE GREEN S OPERATOR OF ./V-PARTICLE SYSTEMS 210 12.3 THERMODYNAMICS
OF INTERACTING IV-PARTICLE SYSTEMS 217 12.4 INCREMENTAL PRODUCT
EXPANSION OF THE MANY-BODY GREEN S FUNCTION 218 12.4.1 EXPANSION OF THE
GREEN S OPERATOR OF UNCORRELATED CLUSTERS 219 12.4.2 GREEN S OPERATOR
EXPANSION OF CORRELATED FINITE SYSTEMS 221 12.4.3 REMARKS ON THE
APPLICABILITY TO COULOMB POTENTIALS 225 12.5 PATH-INTEGRAL MONTE-CARLO
METHOD 227 13 FINITE CORRELATED SYSTEMS IN A MULTI-CENTER POTENTIAL 231
13.1 SINGLE-PARTICLE SCATTERING FROM A MULTI-CENTER POTENTIAL 231 13.1.1
SCATTERING-PATH FORMALISM 231 13.1.2 SCATTERING OF CORRELATED COMPOUNDS
FROM MULTI-CENTER POTENTIALS . . . 233 14 EXCITATIONS IN EXTENDED
ELECTRONIC SYSTEMS 239 14.1 TIME-DEPENDENT SINGLE-PARTICLE GREEN S
FUNCTIONS 239 14.2 GREEN S FUNCTION APPROACH TO EXCITATIONS IN EXTENDED
ELECTRONIC SYSTEMS . . . 242 14.2.1 SINGLE-PARTICLE GREEN S FUNCTIONS
FOR EXTENDED SYSTEMS 242 14.2.2 THE SELF-ENERGY CONCEPT 246 14.2.3 HEDIN
EQUATIONS AND THE GW APPROXIMATION 247 14.3 TWO-BODY GREEN S FUNCTIONS
249 14.3.1 THE POLARIZATION PROPAGATOR 251 14.3.2 PARTICLE-PARTICLE AND
HOLE-HOLE PROPAGATORS 251 14.3.3 SINGLE AND MANY-PARTICLE PHOTOELECTRON
CURRENTS 254 A APPENDICES 257 A. 1 TENSOR OPERATORS 257 A.L.L
WIGNER-ECKART THEOREM 258 A. 1.2 TENSOR PRODUCTS OF SPHERICAL TENSORS
259 A.2 TIME ORDERING AND PERTURBATION EXPANSION 259 A.3 ADIABATIC
SWITCHING OF INTERACTIONS 261 A.4 FINITE-TEMPERATURE EQUILIBRIUM
(MATSUBARA) GREEN S FUNCTION 263 XVI CONTENTS A.5 NON-EQUILIBRIUM
GREEN S FUNCTION: THE KELDYSH FORMALISM 265 BIBLIOGRAPHY 269 INDEX 289
|
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| author | Berakdar, Jamal 1964- |
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| dewey-ones | 530 - Physics |
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| id | DE-604.BV017468416 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T19:18:22Z |
| institution | BVB |
| isbn | 3527403353 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010522814 |
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| owner_facet | DE-703 DE-11 |
| physical | XVI, 299 S. Ill. |
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| publisher | Wiley-VCH |
| record_format | marc |
| spelling | Berakdar, Jamal 1964- Verfasser (DE-588)128384751 aut Concepts of highly excited electronic systems Jamal Berakdar 1. ed. Weinheim Wiley-VCH 2003 XVI, 299 S. Ill. txt rdacontent n rdamedia nc rdacarrier Includes bibliographical references ( p. [269]-288) and index Coulomb excitation Coulomb potential Electronic excitation Few-body problem Two-body problem Angeregter Zustand (DE-588)4142423-2 gnd rswk-swf Elektronengas (DE-588)4151870-6 gnd rswk-swf Green-Funktion (DE-588)4158123-4 gnd rswk-swf Wenigteilchensystem (DE-588)4129976-0 gnd rswk-swf Elektronengas (DE-588)4151870-6 s Wenigteilchensystem (DE-588)4129976-0 s Angeregter Zustand (DE-588)4142423-2 s Green-Funktion (DE-588)4158123-4 s DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010522814&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Berakdar, Jamal 1964- Concepts of highly excited electronic systems Coulomb excitation Coulomb potential Electronic excitation Few-body problem Two-body problem Angeregter Zustand (DE-588)4142423-2 gnd Elektronengas (DE-588)4151870-6 gnd Green-Funktion (DE-588)4158123-4 gnd Wenigteilchensystem (DE-588)4129976-0 gnd |
| subject_GND | (DE-588)4142423-2 (DE-588)4151870-6 (DE-588)4158123-4 (DE-588)4129976-0 |
| title | Concepts of highly excited electronic systems |
| title_auth | Concepts of highly excited electronic systems |
| title_exact_search | Concepts of highly excited electronic systems |
| title_full | Concepts of highly excited electronic systems Jamal Berakdar |
| title_fullStr | Concepts of highly excited electronic systems Jamal Berakdar |
| title_full_unstemmed | Concepts of highly excited electronic systems Jamal Berakdar |
| title_short | Concepts of highly excited electronic systems |
| title_sort | concepts of highly excited electronic systems |
| topic | Coulomb excitation Coulomb potential Electronic excitation Few-body problem Two-body problem Angeregter Zustand (DE-588)4142423-2 gnd Elektronengas (DE-588)4151870-6 gnd Green-Funktion (DE-588)4158123-4 gnd Wenigteilchensystem (DE-588)4129976-0 gnd |
| topic_facet | Coulomb excitation Coulomb potential Electronic excitation Few-body problem Two-body problem Angeregter Zustand Elektronengas Green-Funktion Wenigteilchensystem |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010522814&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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