Multipole theory in electromagnetism: classical, quantum, and symmetry aspects, with applications
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Oxford
Oxford Univ. Press
2005
|
| Series: | The international series of monographs on physics
128 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Includes bibliographical references and index |
| Physical Description: | xii, 235 p. graph. Darst. 24 cm |
| ISBN: | 0198567278 |
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Record in the Search Index
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| adam_text | MULTIPOLE THEORY IN ELECTROMAGNETISM CLASSICAL, QUANTUM, AND SYMMETRY
ASPECTS, WITH APPLICATIONS R. E. RAAB *. L. DE LANGE SCHOOL OF CHEMICAL
AND PHYSICAL SCIENCES, UNIVERSITY OF NATAL, PIETERMARITZBURG, SOUTH
AFRICA CLARENDON PRESS-OXFORD 2005 CONTENTS CLASSICAL MULTIPOLE THEORY 1
1.1 MULTIPOLE EXPANSION FOR THE POTENTIAL OF A FINITE STATIC CHARGE
DISTRIBUTION 1 1.2 DEPENDENCE OF ELECTRIC MULTIPOLE MOMENTS ON ORIGIN 5
1.3 PERMANENT AND INDUCED MULTIPOLE MOMENTS 6 1.4 FORCE AND TORQUE IN AN
EXTERNAL ELECTROSTATIC FIELD 7 1.5 POTENTIAL ENERGY OF A CHARGE
DISTRIBUTION IN AN ELECTROSTATIC FIELD 8 1.6 MULTIPOLE EXPANSION FOR THE
VECTOR POTENTIAL OF A FINITE DISTRIBUTION OF STEADY CURRENT 10 1.7
DEPENDENCE OF MAGNETIC MULTIPOLE MOMENTS ON ORIGIN 12 1.8 FORCE AND
TORQUE IN AN EXTERNAL MAGNETOSTATIC FIELD 13 1.9 POTENTIAL ENERGY OF A
CURRENT DISTRIBUTION IN A MAGNETOSTATIC FIELD 14 1.10 MULTIPOLE
EXPANSIONS FOR THE DYNAMIC SCALAR AND VECTOR POTENTIALS 15 1.11 THE FAR-
AND NEAR-ZONE LIMITS 17 1.12 MACROSCOPIC MEDIA 18 1.13 MAXWELL S
MACROSCOPIC EQUATIONS: MULTIPOLE FORMS FOR D AND H 23 1.14 DISCUSSION 25
1.15 PRIMITIVE MOMENTS VERSUS TRACELESS MOMENTS 27 1.15.1 A CHARGE
DISTRIBUTION 27 1.15.2 MACROSCOPIC MEDIA 28 REFERENCES 29 QUANTUM THEORY
OF MULTIPOLE MOMENTS AND POLARIZABILITIES 32 2.1 SEMI-CLASSICAL QUANTUM
MECHANICS 32 2.2 ELECTROSTATIC PERTURBATION 33 2.3 BUCKINGHAM S
DERIVATION OF ELECTROSTATIC MULTIPOLE MOMENTS 37 2.4 MAGNETOSTATIC
PERTURBATION 38 2.5 TIME-DEPENDENT FIELDS: STANDARD GAUGE 40 2.6
TIME-DEPENDENT FIELDS: THE BARRON-GRAY GAUGE 45 2.7 POLARIZABILITIES FOR
HARMONIC PLANE WAVE FIELDS 47 2.8 ABSORPTION OF RADIATION 50 2.9
ADDITIONAL STATIC MAGNETIC POLARIZABILITIES 51 2.10 SYMMETRIES 52 IX X
CONTENTS 2.11 MACROSCOPIC MULTIPOLE MOMENT AND POLARIZABILITY DENSITIES
53 2.12 PHENOMENOLOGY OF THE WAVE-MATTER INTERACTION 54 REFERENCES 56
SPACE AND TIME PROPERTIES 59 3.1 COORDINATE TRANSFORMATIONS 59 3.2
VECTORS 60 3.3 CARTESIAN TENSORS 62 3.4 TIME REVERSAL 65 3.5 THE SPACE
AND TIME NATURE OF VARIOUS TENSORS 67 3.6 SYMMETRY AND PROPERTY TENSORS
70 3.7 ORIGIN DEPENDENCE OF POLARIZABILITY TENSORS 75 3.8 A PICTORIAL
DETERMINATION OF SYMMETRY CONDITIONS 79 3.9 DISCUSSION 82 REFERENCES 82
LINEAR CONSTITUTIVE RELATIONS FROM MULTIPOLE THEORY 84 4.1 CONSTITUTIVE
RELATIONS 84 4.2 ORIGIN INDEPENDENCE 86 4.3 SYMMETRIES 86 4.4 THE POST
CONSTRAINT 90 4.5 COMPARISON WITH DIRECT MULTIPOLE RESULTS 92 4.5.1
ELECTRIC DIPOLE ORDER 92 4.5.2 ELECTRIC QUADRUPOLE-MAGNETIC DIPOLE ORDER
93 4.5.3 ELECTRIC OCTOPOLE-MAGNETIC QUADRUPOLE ORDER 94 4.6 DISCUSSION
95 REFERENCES 98 TRANSMISSION AND SCATTERING EFFECTS: DIRECT MULTIPOLE
RESULTS 100 5.1 THE WAVE EQUATION 100 5.2 INTRINSIC FARADAY ROTATION IN
A FERROMAGNETIC CRYSTAL 103 5.3 NATURAL OPTICAL ACTIVITY 106 5.4
TIME-ODD LINEAR BIREFRINGENCE IN MAGNETIC CUBICS 110 5.5 OPTICAL
PROPERTIES IN THE JONES CALCULUS 111 5.6 GYROTROPIC BIREFRINGENCE 112
5.7 LINEAR BIREFRINGENCE IN NON-MAGNETIC CUBIC CRYSTALS (LORENTZ
BIREFRINGENCE) 115 5.8 INTRINSIC FARADAY ROTATION IN MAGNETIC CUBICS 118
5.9 THE KERR EFFECT IN AN IDEAL GAS 120 5.10 FORWARD SCATTERING THEORY
OF THE KERR EFFECT 124 5.11 BIREFRINGENCE INDUCED IN A GAS BY AN
ELECTRIC FIELD GRADIENT: FORWARD SCATTERING THEORY 127 5.11.1 FORWARD
SCATTERING BY A MOLECULE 128 CONTENTS XI 5.11.2 INDUCED MOMENTS 129
5.11.3 FORWARD SCATTERING BY A LAMINA 130 5.11.4 THE ELECTROSTATIC FIELD
131 5.11.5 RADIATED FIELD FOR LINEARLY POLARIZED LIGHT 132 5.11.6
FIELD-GRADIENT-INDUCED BIREFRINGENCE 133 5.11.7 COMPARISON BETWEEN
THEORY AND EXPERIMENT 135 5.12 BIREFRINGENCE INDUCED IN A GAS BY AN
ELECTRIC FIELD GRADIENT: WAVE THEORY 136 5.13 DISCUSSION 140 REFERENCES
141 6 REFLECTION EFFECTS: DIRECT MULTIPOLE RESULTS 145 6.1 REFLECTION
AND THE REFLECTION MATRIX 145 6.2 THE PRINCIPLE OF RECIPROCITY 147 6.3
EQUATIONS OF CONTINUITY 150 6.4 MATCHING CONDITIONS IN MULTIPOLE THEORY
153 6.5 THE REFLECTION MATRIX FOR NON-MAGNETIC UNIAXIAL AND CUBIC
CRYSTALS 156 6.6 SOLUTIONS OF THE WAVE EQUATION 162 6.7 REFLECTION
COEFFICIENTS 165 6.8 TESTS OF TRANSLATIONAL AND TIME-REVERSAL INVARIANCE
168 6.9 DISCUSSION 169 REFERENCES 170 7 TRANSFORMATIONS OF THE RESPONSE
FIELDS AND THE CONSTITUTIVE TENSOR 172 7.1 GAUGE TRANSFORMATIONS OF THE
4-VECTOR POTENTIAL 172 7.2 GAUGE TRANSFORMATIONS OF RESPONSE FIELDS
173 7.3 FARADAY TRANSFORMATIONS 174 7.4 TRANSFORMATIONS OF LINEAR
CONSTITUTIVE RELATIONS IN MULTIPOLE THEORY 174 REFERENCES 177 8
APPLICATIONS OF THE GAUGE AND FARADAY TRANSFORMATIONS 178 8.1 ELECTRIC
DIPOLE ORDER 178 8.2 ELECTRIC QUADRUPOLE-MAGNETIC DIPOLE ORDER,
NON-MAGNETIC MEDIUM 180 8.3 ELECTRIC QUADRUPOLE-MAGNETIC DIPOLE ORDER,
MAGNETIC MEDIUM 183 8.4 DISCUSSION 186 REFERENCES 189 9 TRANSMISSION AND
REFLECTION EFFECTS: TRANSFORMED MULTIPOLE RESULTS 191 9.1 THE WAVE
EQUATION AND TRANSMISSION 191 XLL CONTENTS 9.2 REFLECTION FROM
NON-MAGNETIC UNIAXIAL AND CUBIC CRYSTALS 192 9.3 EXPLICIT RESULTS FOR
NON-MAGNETIC UNIAXIAL CRYSTALS 195 9.4 EXPLICIT RESULTS FOR NON-MAGNETIC
CUBIC CRYSTALS 197 9.5 TESTS OF TRANSLATIONAL AND TIME-REVERSAL
INVARIANCE 198 9.6 REFLECTION FROM ANTIFERROMAGNETIC **2*3: FIRST
CONFIGURATION 199 9.7 REFLECTION FROM ANTIFERROMAGNETIC **2*3: SECOND
CONFIGURATION 202 9.8 COMPARISON WITH EXPERIMENT FOR **2*3 205 9.9
UNIQUENESS OF FIELDS 206 9.10 SUMMARY 206 REFERENCES 210 A
TRANSFORMATIONS INVOLVING J 211 * MAGNETOSTATIC FIELD 213 *
MAGNETOSTATIC FORCE 214 D MAGNETOSTATIC TORQUE 215 E INTEGRAL
TRANSFORMATIONS 216 F ORIGIN DEPENDENCE OF A POLARIZABILITY TENSOR 218 G
INVARIANCE OF TRANSFORMED TENSORS 220 GLOSSARY OF SYMBOLS 221 INDEX 229
|
| adam_txt |
MULTIPOLE THEORY IN ELECTROMAGNETISM CLASSICAL, QUANTUM, AND SYMMETRY
ASPECTS, WITH APPLICATIONS R. E. RAAB *. L. DE LANGE SCHOOL OF CHEMICAL
AND PHYSICAL SCIENCES, UNIVERSITY OF NATAL, PIETERMARITZBURG, SOUTH
AFRICA CLARENDON PRESS-OXFORD 2005 CONTENTS CLASSICAL MULTIPOLE THEORY 1
1.1 MULTIPOLE EXPANSION FOR THE POTENTIAL OF A FINITE STATIC CHARGE
DISTRIBUTION 1 1.2 DEPENDENCE OF ELECTRIC MULTIPOLE MOMENTS ON ORIGIN 5
1.3 PERMANENT AND INDUCED MULTIPOLE MOMENTS 6 1.4 FORCE AND TORQUE IN AN
EXTERNAL ELECTROSTATIC FIELD 7 1.5 POTENTIAL ENERGY OF A CHARGE
DISTRIBUTION IN AN ELECTROSTATIC FIELD 8 1.6 MULTIPOLE EXPANSION FOR THE
VECTOR POTENTIAL OF A FINITE DISTRIBUTION OF STEADY CURRENT 10 1.7
DEPENDENCE OF MAGNETIC MULTIPOLE MOMENTS ON ORIGIN 12 1.8 FORCE AND
TORQUE IN AN EXTERNAL MAGNETOSTATIC FIELD 13 1.9 POTENTIAL ENERGY OF A
CURRENT DISTRIBUTION IN A MAGNETOSTATIC FIELD 14 1.10 MULTIPOLE
EXPANSIONS FOR THE DYNAMIC SCALAR AND VECTOR POTENTIALS 15 1.11 THE FAR-
AND NEAR-ZONE LIMITS 17 1.12 MACROSCOPIC MEDIA 18 1.13 MAXWELL'S
MACROSCOPIC EQUATIONS: MULTIPOLE FORMS FOR D AND H 23 1.14 DISCUSSION 25
1.15 PRIMITIVE MOMENTS VERSUS TRACELESS MOMENTS 27 1.15.1 A CHARGE
DISTRIBUTION 27 1.15.2 MACROSCOPIC MEDIA 28 REFERENCES 29 QUANTUM THEORY
OF MULTIPOLE MOMENTS AND POLARIZABILITIES 32 2.1 SEMI-CLASSICAL QUANTUM
MECHANICS 32 2.2 ELECTROSTATIC PERTURBATION 33 2.3 BUCKINGHAM'S
DERIVATION OF ELECTROSTATIC MULTIPOLE MOMENTS 37 2.4 MAGNETOSTATIC
PERTURBATION 38 2.5 TIME-DEPENDENT FIELDS: STANDARD GAUGE 40 2.6
TIME-DEPENDENT FIELDS: THE BARRON-GRAY GAUGE 45 2.7 POLARIZABILITIES FOR
HARMONIC PLANE WAVE FIELDS 47 2.8 ABSORPTION OF RADIATION 50 2.9
ADDITIONAL STATIC MAGNETIC POLARIZABILITIES 51 2.10 SYMMETRIES 52 IX X
CONTENTS 2.11 MACROSCOPIC MULTIPOLE MOMENT AND POLARIZABILITY DENSITIES
53 2.12 PHENOMENOLOGY OF THE WAVE-MATTER INTERACTION 54 REFERENCES 56
SPACE AND TIME PROPERTIES 59 3.1 COORDINATE TRANSFORMATIONS 59 3.2
VECTORS 60 3.3 CARTESIAN TENSORS 62 3.4 TIME REVERSAL 65 3.5 THE SPACE
AND TIME NATURE OF VARIOUS TENSORS 67 3.6 SYMMETRY AND PROPERTY TENSORS
70 3.7 ORIGIN DEPENDENCE OF POLARIZABILITY TENSORS 75 3.8 A PICTORIAL
DETERMINATION OF SYMMETRY CONDITIONS 79 3.9 DISCUSSION 82 REFERENCES 82
LINEAR CONSTITUTIVE RELATIONS FROM MULTIPOLE THEORY 84 4.1 CONSTITUTIVE
RELATIONS 84 4.2 ORIGIN INDEPENDENCE 86 4.3 SYMMETRIES 86 4.4 THE "POST
CONSTRAINT" 90 4.5 COMPARISON WITH DIRECT MULTIPOLE RESULTS 92 4.5.1
ELECTRIC DIPOLE ORDER 92 4.5.2 ELECTRIC QUADRUPOLE-MAGNETIC DIPOLE ORDER
93 4.5.3 ELECTRIC OCTOPOLE-MAGNETIC QUADRUPOLE ORDER 94 4.6 DISCUSSION
95 REFERENCES 98 TRANSMISSION AND SCATTERING EFFECTS: DIRECT MULTIPOLE
RESULTS 100 5.1 THE WAVE EQUATION 100 5.2 INTRINSIC FARADAY ROTATION IN
A FERROMAGNETIC CRYSTAL 103 5.3 NATURAL OPTICAL ACTIVITY 106 5.4
TIME-ODD LINEAR BIREFRINGENCE IN MAGNETIC CUBICS 110 5.5 OPTICAL
PROPERTIES IN THE JONES CALCULUS 111 5.6 GYROTROPIC BIREFRINGENCE 112
5.7 LINEAR BIREFRINGENCE IN NON-MAGNETIC CUBIC CRYSTALS (LORENTZ
BIREFRINGENCE) 115 5.8 INTRINSIC FARADAY ROTATION IN MAGNETIC CUBICS 118
5.9 THE KERR EFFECT IN AN IDEAL GAS 120 5.10 FORWARD SCATTERING THEORY
OF THE KERR EFFECT 124 5.11 BIREFRINGENCE INDUCED IN A GAS BY AN
ELECTRIC FIELD GRADIENT: FORWARD SCATTERING THEORY 127 5.11.1 FORWARD
SCATTERING BY A MOLECULE 128 CONTENTS XI 5.11.2 INDUCED MOMENTS 129
5.11.3 FORWARD SCATTERING BY A LAMINA 130 5.11.4 THE ELECTROSTATIC FIELD
131 5.11.5 RADIATED FIELD FOR LINEARLY POLARIZED LIGHT 132 5.11.6
FIELD-GRADIENT-INDUCED BIREFRINGENCE 133 5.11.7 COMPARISON BETWEEN
THEORY AND EXPERIMENT 135 5.12 BIREFRINGENCE INDUCED IN A GAS BY AN
ELECTRIC FIELD GRADIENT: WAVE THEORY 136 5.13 DISCUSSION 140 REFERENCES
141 6 REFLECTION EFFECTS: DIRECT MULTIPOLE RESULTS 145 6.1 REFLECTION
AND THE REFLECTION MATRIX 145 6.2 THE PRINCIPLE OF RECIPROCITY 147 6.3
EQUATIONS OF CONTINUITY 150 6.4 MATCHING CONDITIONS IN MULTIPOLE THEORY
153 6.5 THE REFLECTION MATRIX FOR NON-MAGNETIC UNIAXIAL AND CUBIC
CRYSTALS 156 6.6 SOLUTIONS OF THE WAVE EQUATION 162 6.7 REFLECTION
COEFFICIENTS 165 6.8 TESTS OF TRANSLATIONAL AND TIME-REVERSAL INVARIANCE
168 6.9 DISCUSSION 169 REFERENCES 170 7 TRANSFORMATIONS OF THE RESPONSE
FIELDS AND THE CONSTITUTIVE TENSOR 172 7.1 GAUGE TRANSFORMATIONS OF THE
4-VECTOR POTENTIAL 172 7.2 "GAUGE TRANSFORMATIONS" OF RESPONSE FIELDS
173 7.3 FARADAY TRANSFORMATIONS 174 7.4 TRANSFORMATIONS OF LINEAR
CONSTITUTIVE RELATIONS IN MULTIPOLE THEORY 174 REFERENCES 177 8
APPLICATIONS OF THE GAUGE AND FARADAY TRANSFORMATIONS 178 8.1 ELECTRIC
DIPOLE ORDER 178 8.2 ELECTRIC QUADRUPOLE-MAGNETIC DIPOLE ORDER,
NON-MAGNETIC MEDIUM 180 8.3 ELECTRIC QUADRUPOLE-MAGNETIC DIPOLE ORDER,
MAGNETIC MEDIUM 183 8.4 DISCUSSION 186 REFERENCES 189 9 TRANSMISSION AND
REFLECTION EFFECTS: TRANSFORMED MULTIPOLE RESULTS 191 9.1 THE WAVE
EQUATION AND TRANSMISSION 191 XLL CONTENTS 9.2 REFLECTION FROM
NON-MAGNETIC UNIAXIAL AND CUBIC CRYSTALS 192 9.3 EXPLICIT RESULTS FOR
NON-MAGNETIC UNIAXIAL CRYSTALS 195 9.4 EXPLICIT RESULTS FOR NON-MAGNETIC
CUBIC CRYSTALS 197 9.5 TESTS OF TRANSLATIONAL AND TIME-REVERSAL
INVARIANCE 198 9.6 REFLECTION FROM ANTIFERROMAGNETIC **2*3: FIRST
CONFIGURATION 199 9.7 REFLECTION FROM ANTIFERROMAGNETIC **2*3: SECOND
CONFIGURATION 202 9.8 COMPARISON WITH EXPERIMENT FOR **2*3 205 9.9
UNIQUENESS OF FIELDS 206 9.10 SUMMARY 206 REFERENCES 210 A
TRANSFORMATIONS INVOLVING J 211 * MAGNETOSTATIC FIELD 213 *
MAGNETOSTATIC FORCE 214 D MAGNETOSTATIC TORQUE 215 E INTEGRAL
TRANSFORMATIONS 216 F ORIGIN DEPENDENCE OF A POLARIZABILITY TENSOR 218 G
INVARIANCE OF TRANSFORMED TENSORS 220 GLOSSARY OF SYMBOLS 221 INDEX 229 |
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| id | DE-604.BV021527599 |
| illustrated | Illustrated |
| index_date | 2024-07-02T14:24:22Z |
| indexdate | 2024-07-09T20:37:52Z |
| institution | BVB |
| isbn | 0198567278 |
| language | English |
| lccn | 2005297163 |
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| publisher | Oxford Univ. Press |
| record_format | marc |
| series | The international series of monographs on physics |
| series2 | The international series of monographs on physics Oxford science publications |
| spelling | Raab, R. E. Verfasser aut Multipole theory in electromagnetism classical, quantum, and symmetry aspects, with applications R.E. Raab ; O.L. de Lange Oxford Oxford Univ. Press 2005 xii, 235 p. graph. Darst. 24 cm txt rdacontent n rdamedia nc rdacarrier The international series of monographs on physics 128 Oxford science publications Includes bibliographical references and index Electromagnetic theory Electromagnetic waves Scattering Elektromagnetismus (DE-588)4014306-5 gnd rswk-swf Multipol (DE-588)4170737-0 gnd rswk-swf Elektromagnetismus (DE-588)4014306-5 s Multipol (DE-588)4170737-0 s b DE-604 De Lange, O. L. Verfasser aut The international series of monographs on physics 128 (DE-604)BV000106406 128 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014743998&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Raab, R. E. De Lange, O. L. Multipole theory in electromagnetism classical, quantum, and symmetry aspects, with applications The international series of monographs on physics Electromagnetic theory Electromagnetic waves Scattering Elektromagnetismus (DE-588)4014306-5 gnd Multipol (DE-588)4170737-0 gnd |
| subject_GND | (DE-588)4014306-5 (DE-588)4170737-0 |
| title | Multipole theory in electromagnetism classical, quantum, and symmetry aspects, with applications |
| title_auth | Multipole theory in electromagnetism classical, quantum, and symmetry aspects, with applications |
| title_exact_search | Multipole theory in electromagnetism classical, quantum, and symmetry aspects, with applications |
| title_exact_search_txtP | Multipole theory in electromagnetism classical, quantum, and symmetry aspects, with applications |
| title_full | Multipole theory in electromagnetism classical, quantum, and symmetry aspects, with applications R.E. Raab ; O.L. de Lange |
| title_fullStr | Multipole theory in electromagnetism classical, quantum, and symmetry aspects, with applications R.E. Raab ; O.L. de Lange |
| title_full_unstemmed | Multipole theory in electromagnetism classical, quantum, and symmetry aspects, with applications R.E. Raab ; O.L. de Lange |
| title_short | Multipole theory in electromagnetism |
| title_sort | multipole theory in electromagnetism classical quantum and symmetry aspects with applications |
| title_sub | classical, quantum, and symmetry aspects, with applications |
| topic | Electromagnetic theory Electromagnetic waves Scattering Elektromagnetismus (DE-588)4014306-5 gnd Multipol (DE-588)4170737-0 gnd |
| topic_facet | Electromagnetic theory Electromagnetic waves Scattering Elektromagnetismus Multipol |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014743998&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000106406 |
| work_keys_str_mv | AT raabre multipoletheoryinelectromagnetismclassicalquantumandsymmetryaspectswithapplications AT delangeol multipoletheoryinelectromagnetismclassicalquantumandsymmetryaspectswithapplications |