Atomic structure theory: lectures on atomic physics
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2007
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| Subjects: | |
| Online Access: | Inhaltstext Inhaltsverzeichnis |
| Physical Description: | XII, 312 S. graph. Darst. |
| ISBN: | 9783540680109 3540680101 |
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| 245 | 1 | 0 | |a Atomic structure theory |b lectures on atomic physics |c Walter R. Johnson |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2007 | |
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| 650 | 4 | |a Structure atomique - Mathématiques | |
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| adam_text |
WALTER R. JOHNSON ATOMIC STRUCTURE THEORY LECTURES ON ATOMIC PHYSICS
WITH 21 FIGURES AND 45 TABLES SPRINGER CONTENTS ANGULAR MOMENTUM 1 1.1
ORBITAL ANGULAR MOMENTUM - SPHERICAL HARMONICS 1 1.1.1 QUANTUM MECHANICS
OF ANGULAR MOMENTUM 2 1.1.2 SPHERICAL COORDINATES - SPHERICAL HARMONICS
4 1.2 SPIN ANGULAR MOMENTUM 8 1.2.1 SPIN 1/2 AND SPINORS 8 1.2.2
INFINITESIMAL ROTATIONS OF VECTOR FIELDS 9 1.2.3 SPIN 1 AND VECTORS 10
1.3 CLEBSCH-GORDAN COEFFICIENTS 12 1.3.1 WIGNER 3J SYMBOLS 16 1.3.2
IRREDUCIBLE TENSOR OPERATORS 17 1.4 GRAPHICAL REPRESENTATION - BASIC
RULES 19 1.5 SPINOR AND VECTOR SPHERICAL HARMONICS 22 1.5.1 SPHERICAL
SPINORS 22 1.5.2 VECTOR SPHERICAL HARMONICS 24 PROBLEMS 26 CENTRAL-FIELD
SCHRODINGER EQUATION 29 2.1 RADIAL SCHRODINGER EQUATION 29 2.2 COULOMB
WAVE FUNCTIONS 31 2.3 NUMERICAL SOLUTION TO THE RADIAL EQUATION 35 2.3.1
ADAMS METHOD (ADAMS) 37 2.3.2 STARTING THE OUTWARD INTEGRATION (OUTSCH)
40 2.3.3 STARTING THE INWARD INTEGRATION (INSCH) 42 2.3.4 EIGENVALUE
PROBLEM (MASTER) 43 2.4 QUADRATURE RULES (RINT) 46 2.5 POTENTIAL MODELS
48 2.5.1 PARAMETRIC POTENTIALS 49 2.5.2 THOMAS-FERMI POTENTIAL 51 2.6
SEPARATION OF VARIABLES FOR DIRAC EQUATION 55 2.7 RADIAL DIRAC EQUATION
FOR A COULOMB FIELD 56 CONTENTS 2.8 NUMERICAL SOLUTION TO DIRAC EQUATION
60 2.8.1 OUTWARD AND INWARD INTEGRATIONS (ADAMS, OUTDIR, INDIR) 61 2.8.2
EIGENVALUE PROBLEM FOR DIRAC EQUATION (MASTER) 64 2.8.3 EXAMPLES USING
PARAMETRIC POTENTIALS 65 PROBLEMS 66 SELF-CONSISTENT FIELDS 71 3.1
TWO-ELECTRON SYSTEMS 71 3.2 HF EQUATIONS FOR CLOSED-SHELL ATOMS 77 3.3
NUMERICAL SOLUTION TO THE HF EQUATIONS 88 3.3.1 STARTING APPROXIMATION
(HART) 88 3.3.2 REFINING THE SOLUTION (NRHF) 90 3.4 ATOMS WITH ONE
VALENCE ELECTRON 93 3.5 DIRAC-FOCK EQUATIONS 97 PROBLEMS 104 ATOMIC
MULTIPLETS 107 4.1 SECOND-QUANTIZATION 107 4.2 6-J SYMBOLS ILL 4.3
TWO-ELECTRON ATOMS 114 4.4 ATOMS WITH ONE OR TWO VALENCE ELECTRONS 118
4.5 PARTICLE-HOLE EXCITED STATES 123 4.6 9-J SYMBOLS 126 4.7 RELATIVITY
AND FINE STRUCTURE 128 4.7.1 HE-LIKE IONS 128 4.7.2 ATOMS WITH TWO
VALENCE ELECTRONS 132 4.7.3 PARTICLE-HOLE STATES 133 PROBLEMS 134
HYPERFINE INTERACTION & ISOTOPE SHIFT 137 5.1 HYPERFINE STRUCTURE 137
5.2 ATOMS WITH ONE VALENCE ELECTRON 142 5.2.1 PAULI APPROXIMATION 144
5.3 ISOTOPE SHIFT 146 5.3.1 NORMAL AND SPECIFIC MASS SHIFTS 148 5.4
CALCULATIONS OF THE SMS 149 5.4.1 ANGULAR DECOMPOSITION 149 5.4.2
APPLICATION TO ONE-ELECTRON ATOMS 151 5.5 FIELD SHIFT 152 PROBLEMS 155
CONTENTS XI RADIATIVE TRANSITIONS 157 6.1 REVIEW OF CLASSICAL
ELECTROMAGNETISM 157 6.1.1 ELECTROMAGNETIC POTENTIALS 157 6.1.2
ELECTROMAGNETIC PLANE WAVES 159 6.2 QUANTIZED ELECTROMAGNETIC FIELD 160
6.2.1 EIGENSTATES OF MI 161 6.2.2 INTERACTION HAMILTONIAN 162 6.2.3
TIME-DEPENDENT PERTURBATION THEORY 163 6.2.4 TRANSITION MATRIX ELEMENTS
164 6.2.5 GAUGE INVARIANCE 168 6.2.6 ELECTRIC-DIPOLE TRANSITIONS 169
6.2.7 MAGNETIC-DIPOLE AND ELECTRIC-QUADRUPOLE TRANSITIONS . . 175 6.2.8
NONRELATIVISTIC MANY-BODY AMPLITUDES 182 6.3 THEORY OF MULTIPOLE
TRANSITIONS 185 PROBLEMS 192 INTRODUCTION TO MBPT 195 7.1 CLOSED-SHELL
ATOMS 197 7.1.1 ANGULAR MOMENTUM REDUCTION 199 7.1.2 EXAMPLE:
SECOND-ORDER ENERGY IN HELIUM 202 7.2 B-SPLINE BASIS SETS 203 7.2.1
HARTREE-FOCK EQUATION AND B-SPLINES 206 7.2.2 B-SPLINE BASIS FOR THE
DIRAC EQUATION 207 7.2.3 APPLICATION: HELIUM CORRELATION ENERGY 208 7.3
ATOMS WITH ONE VALENCE ELECTRON 209 7.3.1 SECOND-ORDER ENERGY 210 7.3.2
ANGULAR MOMENTUM DECOMPOSITION 211 7.3.3 QUASI-PARTICLE EQUATION AND
BRUECKNER ORBITALS 212 7.3.4 MONOVALENT NEGATIVE IONS 214 7.4
RELATIVISTIC CALCULATIONS 216 7.4.1 BREIT INTERACTION 217 7.4.2 ANGULAR
REDUCTION OF THE BREIT INTERACTION 218 7.4.3 COULOMB-BREIT MANY-ELECTRON
HAMILTONIAN 221 7.4.4 CLOSED-SHELL ENERGIES 221 7.4.5 ONE VALENCE
ELECTRON 223 7.5 CI CALCULATIONS 224 7.5.1 RELATIVISTIC CI CALCULATIONS,
226 7.6 MBPT FOR DIVALENT ATOMS AND IONS 227 7.6.1 TWO-PARTICLE MODEL
SPACES 227 7.6.2 FIRST-ORDER PERTURBATION THEORY 230 7.7 SECOND-ORDER
PERTURBATION THEORY 231 7.7.1 ANGULAR MOMENTUM REDUCTION 233 PROBLEMS
234 XII CONTENTS 8 MBPT FOR MATRIX ELEMENTS 237 8.1 SECOND-ORDER
CORRECTIONS 237 8.1.1 ANGULAR REDUCTION 239 8.2 RANDOM-PHASE
APPROXIMATION 240 8.2.1 GAUGE INDEPENDENCE OF THE RPA 242 8.2.2 THE RPA
FOR HYPERFINE CONSTANTS 243 8.3 THIRD-ORDER MATRIX ELEMENTS 244 8.4
MATRIX ELEMENTS OF TWO-PARTICLE OPERATORS 247 8.4.1 TWO-PARTICLE
OPERATORS: CLOSED-SHELL ATOMS 248 8.4.2 TWO-PARTICLE OPERATORS: ONE
VALENCE ELECTRON ATOMS . . 248 8.5 CI CALCULATIONS FOR TWO-ELECTRON
ATOMS 251 8.5.1 EL TRANSITIONS IN HE 252 8.6 SECOND-ORDER MATRIX
ELEMENTS IN DIVALENT ATOMS 253 8.7 SUMMARY REMARKS 257 PROBLEMS 258
SOLUTIONS 261 REFERENCES , 303 INDEX 307 |
| adam_txt |
WALTER R. JOHNSON ATOMIC STRUCTURE THEORY LECTURES ON ATOMIC PHYSICS
WITH 21 FIGURES AND 45 TABLES SPRINGER CONTENTS ANGULAR MOMENTUM 1 1.1
ORBITAL ANGULAR MOMENTUM - SPHERICAL HARMONICS 1 1.1.1 QUANTUM MECHANICS
OF ANGULAR MOMENTUM 2 1.1.2 SPHERICAL COORDINATES - SPHERICAL HARMONICS
4 1.2 SPIN ANGULAR MOMENTUM 8 1.2.1 SPIN 1/2 AND SPINORS 8 1.2.2
INFINITESIMAL ROTATIONS OF VECTOR FIELDS 9 1.2.3 SPIN 1 AND VECTORS 10
1.3 CLEBSCH-GORDAN COEFFICIENTS 12 1.3.1 WIGNER 3J SYMBOLS 16 1.3.2
IRREDUCIBLE TENSOR OPERATORS 17 1.4 GRAPHICAL REPRESENTATION - BASIC
RULES 19 1.5 SPINOR AND VECTOR SPHERICAL HARMONICS 22 1.5.1 SPHERICAL
SPINORS 22 1.5.2 VECTOR SPHERICAL HARMONICS 24 PROBLEMS 26 CENTRAL-FIELD
SCHRODINGER EQUATION 29 2.1 RADIAL SCHRODINGER EQUATION 29 2.2 COULOMB
WAVE FUNCTIONS 31 2.3 NUMERICAL SOLUTION TO THE RADIAL EQUATION 35 2.3.1
ADAMS METHOD (ADAMS) 37 2.3.2 STARTING THE OUTWARD INTEGRATION (OUTSCH)
40 2.3.3 STARTING THE INWARD INTEGRATION (INSCH) 42 2.3.4 EIGENVALUE
PROBLEM (MASTER) 43 2.4 QUADRATURE RULES (RINT) 46 2.5 POTENTIAL MODELS
48 2.5.1 PARAMETRIC POTENTIALS 49 2.5.2 THOMAS-FERMI POTENTIAL 51 2.6
SEPARATION OF VARIABLES FOR DIRAC EQUATION 55 2.7 RADIAL DIRAC EQUATION
FOR A COULOMB FIELD 56 CONTENTS 2.8 NUMERICAL SOLUTION TO DIRAC EQUATION
60 2.8.1 OUTWARD AND INWARD INTEGRATIONS (ADAMS, OUTDIR, INDIR) 61 2.8.2
EIGENVALUE PROBLEM FOR DIRAC EQUATION (MASTER) 64 2.8.3 EXAMPLES USING
PARAMETRIC POTENTIALS 65 PROBLEMS 66 SELF-CONSISTENT FIELDS 71 3.1
TWO-ELECTRON SYSTEMS 71 3.2 HF EQUATIONS FOR CLOSED-SHELL ATOMS 77 3.3
NUMERICAL SOLUTION TO THE HF EQUATIONS 88 3.3.1 STARTING APPROXIMATION
(HART) 88 3.3.2 REFINING THE SOLUTION (NRHF) 90 3.4 ATOMS WITH ONE
VALENCE ELECTRON 93 3.5 DIRAC-FOCK EQUATIONS 97 PROBLEMS 104 ATOMIC
MULTIPLETS 107 4.1 SECOND-QUANTIZATION 107 4.2 6-J SYMBOLS ILL 4.3
TWO-ELECTRON ATOMS 114 4.4 ATOMS WITH ONE OR TWO VALENCE ELECTRONS 118
4.5 PARTICLE-HOLE EXCITED STATES 123 4.6 9-J SYMBOLS 126 4.7 RELATIVITY
AND FINE STRUCTURE 128 4.7.1 HE-LIKE IONS 128 4.7.2 ATOMS WITH TWO
VALENCE ELECTRONS 132 4.7.3 PARTICLE-HOLE STATES 133 PROBLEMS 134
HYPERFINE INTERACTION & ISOTOPE SHIFT 137 5.1 HYPERFINE STRUCTURE 137
5.2 ATOMS WITH ONE VALENCE ELECTRON 142 5.2.1 PAULI APPROXIMATION 144
5.3 ISOTOPE SHIFT 146 5.3.1 NORMAL AND SPECIFIC MASS SHIFTS 148 5.4
CALCULATIONS OF THE SMS 149 5.4.1 ANGULAR DECOMPOSITION 149 5.4.2
APPLICATION TO ONE-ELECTRON ATOMS 151 5.5 FIELD SHIFT 152 PROBLEMS 155
CONTENTS XI RADIATIVE TRANSITIONS 157 6.1 REVIEW OF CLASSICAL
ELECTROMAGNETISM 157 6.1.1 ELECTROMAGNETIC POTENTIALS 157 6.1.2
ELECTROMAGNETIC PLANE WAVES 159 6.2 QUANTIZED ELECTROMAGNETIC FIELD 160
6.2.1 EIGENSTATES OF MI 161 6.2.2 INTERACTION HAMILTONIAN 162 6.2.3
TIME-DEPENDENT PERTURBATION THEORY 163 6.2.4 TRANSITION MATRIX ELEMENTS
164 6.2.5 GAUGE INVARIANCE 168 6.2.6 ELECTRIC-DIPOLE TRANSITIONS 169
6.2.7 MAGNETIC-DIPOLE AND ELECTRIC-QUADRUPOLE TRANSITIONS . . 175 6.2.8
NONRELATIVISTIC MANY-BODY AMPLITUDES 182 6.3 THEORY OF MULTIPOLE
TRANSITIONS 185 PROBLEMS 192 INTRODUCTION TO MBPT 195 7.1 CLOSED-SHELL
ATOMS 197 7.1.1 ANGULAR MOMENTUM REDUCTION 199 7.1.2 EXAMPLE:
SECOND-ORDER ENERGY IN HELIUM 202 7.2 B-SPLINE BASIS SETS 203 7.2.1
HARTREE-FOCK EQUATION AND B-SPLINES 206 7.2.2 B-SPLINE BASIS FOR THE
DIRAC EQUATION 207 7.2.3 APPLICATION: HELIUM CORRELATION ENERGY 208 7.3
ATOMS WITH ONE VALENCE ELECTRON 209 7.3.1 SECOND-ORDER ENERGY 210 7.3.2
ANGULAR MOMENTUM DECOMPOSITION 211 7.3.3 QUASI-PARTICLE EQUATION AND
BRUECKNER ORBITALS 212 7.3.4 MONOVALENT NEGATIVE IONS 214 7.4
RELATIVISTIC CALCULATIONS 216 7.4.1 BREIT INTERACTION 217 7.4.2 ANGULAR
REDUCTION OF THE BREIT INTERACTION 218 7.4.3 COULOMB-BREIT MANY-ELECTRON
HAMILTONIAN 221 7.4.4 CLOSED-SHELL ENERGIES 221 7.4.5 ONE VALENCE
ELECTRON 223 7.5 CI CALCULATIONS 224 7.5.1 RELATIVISTIC CI CALCULATIONS,
226 7.6 MBPT FOR DIVALENT ATOMS AND IONS 227 7.6.1 TWO-PARTICLE MODEL
SPACES 227 7.6.2 FIRST-ORDER PERTURBATION THEORY 230 7.7 SECOND-ORDER
PERTURBATION THEORY 231 7.7.1 ANGULAR MOMENTUM REDUCTION 233 PROBLEMS
234 XII CONTENTS 8 MBPT FOR MATRIX ELEMENTS 237 8.1 SECOND-ORDER
CORRECTIONS 237 8.1.1 ANGULAR REDUCTION 239 8.2 RANDOM-PHASE
APPROXIMATION 240 8.2.1 GAUGE INDEPENDENCE OF THE RPA 242 8.2.2 THE RPA
FOR HYPERFINE CONSTANTS 243 8.3 THIRD-ORDER MATRIX ELEMENTS 244 8.4
MATRIX ELEMENTS OF TWO-PARTICLE OPERATORS 247 8.4.1 TWO-PARTICLE
OPERATORS: CLOSED-SHELL ATOMS 248 8.4.2 TWO-PARTICLE OPERATORS: ONE
VALENCE ELECTRON ATOMS . . 248 8.5 CI CALCULATIONS FOR TWO-ELECTRON
ATOMS 251 8.5.1 EL TRANSITIONS IN HE 252 8.6 SECOND-ORDER MATRIX
ELEMENTS IN DIVALENT ATOMS 253 8.7 SUMMARY REMARKS 257 PROBLEMS 258
SOLUTIONS 261 REFERENCES , 303 INDEX 307 |
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| author | Johnson, Walter R. |
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| author_sort | Johnson, Walter R. |
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| callnumber-subject | QC - Physics |
| classification_rvk | UM 2000 VE 5600 |
| ctrlnum | (OCoLC)77541319 (DE-599)BVBBV022354070 |
| dewey-full | 539.14 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 539 - Modern physics |
| dewey-raw | 539.14 |
| dewey-search | 539.14 |
| dewey-sort | 3539.14 |
| dewey-tens | 530 - Physics |
| discipline | Chemie / Pharmazie Physik |
| discipline_str_mv | Chemie / Pharmazie Physik |
| format | Book |
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| id | DE-604.BV022354070 |
| illustrated | Illustrated |
| index_date | 2024-07-02T17:00:50Z |
| indexdate | 2024-07-20T09:13:48Z |
| institution | BVB |
| isbn | 9783540680109 3540680101 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-015563512 |
| oclc_num | 77541319 |
| open_access_boolean | |
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| owner_facet | DE-20 DE-634 DE-19 DE-BY-UBM |
| physical | XII, 312 S. graph. Darst. |
| publishDate | 2007 |
| publishDateSearch | 2007 |
| publishDateSort | 2007 |
| publisher | Springer |
| record_format | marc |
| spelling | Johnson, Walter R. Verfasser aut Atomic structure theory lectures on atomic physics Walter R. Johnson Berlin [u.a.] Springer 2007 XII, 312 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Structure atomique - Mathématiques Mathematik Atomic structure Mathematics Wellenfunktion (DE-588)4189547-2 gnd rswk-swf Atomzustand (DE-588)4263452-0 gnd rswk-swf Atombau (DE-588)4068920-7 gnd rswk-swf Numerisches Verfahren (DE-588)4128130-5 gnd rswk-swf Atombau (DE-588)4068920-7 s Wellenfunktion (DE-588)4189547-2 s DE-604 Atomzustand (DE-588)4263452-0 s Numerisches Verfahren (DE-588)4128130-5 s text/html http://deposit.dnb.de/cgi-bin/dokserv?id=2887406&prov=M&dok_var=1&dok_ext=htm Inhaltstext HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015563512&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Johnson, Walter R. Atomic structure theory lectures on atomic physics Structure atomique - Mathématiques Mathematik Atomic structure Mathematics Wellenfunktion (DE-588)4189547-2 gnd Atomzustand (DE-588)4263452-0 gnd Atombau (DE-588)4068920-7 gnd Numerisches Verfahren (DE-588)4128130-5 gnd |
| subject_GND | (DE-588)4189547-2 (DE-588)4263452-0 (DE-588)4068920-7 (DE-588)4128130-5 |
| title | Atomic structure theory lectures on atomic physics |
| title_auth | Atomic structure theory lectures on atomic physics |
| title_exact_search | Atomic structure theory lectures on atomic physics |
| title_exact_search_txtP | Atomic structure theory lectures on atomic physics |
| title_full | Atomic structure theory lectures on atomic physics Walter R. Johnson |
| title_fullStr | Atomic structure theory lectures on atomic physics Walter R. Johnson |
| title_full_unstemmed | Atomic structure theory lectures on atomic physics Walter R. Johnson |
| title_short | Atomic structure theory |
| title_sort | atomic structure theory lectures on atomic physics |
| title_sub | lectures on atomic physics |
| topic | Structure atomique - Mathématiques Mathematik Atomic structure Mathematics Wellenfunktion (DE-588)4189547-2 gnd Atomzustand (DE-588)4263452-0 gnd Atombau (DE-588)4068920-7 gnd Numerisches Verfahren (DE-588)4128130-5 gnd |
| topic_facet | Structure atomique - Mathématiques Mathematik Atomic structure Mathematics Wellenfunktion Atomzustand Atombau Numerisches Verfahren |
| url | http://deposit.dnb.de/cgi-bin/dokserv?id=2887406&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015563512&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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