The physics of atoms and quanta: introduction to experiments and theory ; with 160 problems and solutions
Gespeichert in:
| Vorheriger Titel: | Haken, Hermann Atomic and quantum physics |
|---|---|
| Hauptverfasser: | , |
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u. a.]
Springer
1993
|
| Ausgabe: | 3., corr. and enl. ed. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XVI, 462 S. Ill., graph. Darst. |
| ISBN: | 3540563121 0387563121 |
Internformat
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| 245 | 1 | 0 | |a The physics of atoms and quanta |b introduction to experiments and theory ; with 160 problems and solutions |c Hermann Haken ; Hans Christoph Wolf |
| 250 | |a 3., corr. and enl. ed. | ||
| 264 | 1 | |a Berlin [u. a.] |b Springer |c 1993 | |
| 300 | |a XVI, 462 S. |b Ill., graph. Darst. | ||
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Datensatz im Suchindex
| _version_ | 1812461393348132864 |
|---|---|
| adam_text |
CONTENTS
LIST OF THE MOST IMPORTANT SYMBOLS USED . XV
1. INTRODUCTION . 1
1.1 CLASSICAL PHYSICS AND QUANTUM MECHANICS . 1
1.2 SHORT HISTORICAL REVIEW. 1
2. THE MASS AND SIZE OF THE ATOM . 5
2.1 WHAT IS AN ATOM? . 5
2.2 DETERMINATION OF THE MASS. 5
2.3 METHODS FOR DETERMINING AVOGADRO'S NUMBER . 7
2.3.1 ELECTROLYSIS . 7
2.3.2 THE GAS CONSTANT AND BOLTZMANN'S CONSTANT . 7
2.3.3 X-RAY DIFFRACTION IN CRYSTALS . 8
2.3.4 DETERMINATION USING RADIOACTIVE DECAY . 9
2.4 DETERMINATION OF THE SIZE OF THE ATOM . 10
2.4.1 APPLICATION OF THE KINETIC THEORY OF GASES . 10
2.4.2 THE INTERACTION CROSS SECTION . 11
2.4.3 EXPERIMENTAL DETERMINATION OF INTERACTION CROSS SECTIONS . 14
2.4.4 DETERMINING THE ATOMIC SIZE FROM THE COVOLUME . 15
2.4.5 ATOMIC SIZES FROM X-RAY DIFFRACTION MEASUREMENTS ON CRYSTALS . 15
2.4.6 CAN INDIVIDUAL ATOMS BE SEEN? . 20
PROBLEMS. 25
3. ISOTOPES. 27
3.1 THE PERIODIC SYSTEM OF THE ELEMENTS. 27
3.2 MASS SPECTROSCOPY . 29
3.2.1 PARABOLA METHOD . 29
3.2.2 IMPROVED MASS SPECTROMETERS . 32
3.2.3 RESULTS OF MASS SPECTROMETRY . 33
3.2.4 MODERN APPLICATIONS OF THE MASS SPECTROMETER . 34
3.2.5 ISOTOPE SEPARATION . 35
PROBLEMS . 36
4. THE NUCLEUS OF THE ATOM . 37
4.1 PASSAGE OF ELECTRONS THROUGH MATTER . 37
4.2 PASSAGE OF ALPHA PARTICLES THROUGH MATTER (RUTHERFORD SCATTERING)
. 39
4.2.1 SOME PROPERTIES OF ALPHA PARTICLES . 39
4.2.2 SCATTERING OF ALPHA PARTICLES BY A FOIL . 39
4.2.3 DERIVATION OF THE RUTHERFORD SCATTERING FORMULA . 41
4.2.4 EXPERIMENTAL RESULTS . 46
4.2.5 WHAT IS MEANT BY NUCLEAR RADIUS? . 47
PROBLEMS . 48
BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/930388062
X
CONTENTS
5. THE PHOTON . 49
5.1 WAVE CHARACTER OF LIGHT. 49
5.2 THERMAL RADIATION . 51
5.2.1 SPECTRAL DISTRIBUTION OF BLACK BODY RADIATION . 51
5.2.2 PLANCK'S RADIATION FORMULA. 53
5.2.3 EINSTEIN'S DERIVATION OF PLANCK'S FORMULA . 54
5.3 THE PHOTOELECTRIC EFFECT . 58
5.4 THE COMPTON EFFECT . 60
5.4.1 EXPERIMENTS . 60
5.4.2 DERIVATION OF THE COMPTON SHIFT . 62
PROBLEMS . 64
6. THE ELECTRON . 67
6.1 PRODUCTION OF FREE ELECTRONS . 67
6.2 SIZE OF THE ELECTRON . 67
6.3 THE CHARGE OF THE ELECTRON . 68
6.4 THE SPECIFIC CHARGE
E/M
OF THE ELECTRON . 69
6.5 WAVE CHARACTER OF ELECTRONS AND OTHER PARTICLES . 72
6.6 INTERFEROMETRY WITH ATOMS . 76
PROBLEMS . 77
7. SOME BASIC PROPERTIES OF MATTER WAVES . 79
7.1 WAVE PACKETS . 79
7.2 PROBABILISTIC INTERPRETATION . 83
7.3 THE HEISENBERG UNCERTAINTY RELATION . 85
7.4 THE ENERGY-TIME UNCERTAINTY RELATION. 87
7.5 SOME CONSEQUENCES OF THE UNCERTAINTY RELATIONS FOR BOUND STATES .
88
PROBLEMS . 91
8. BOHR'S MODEL OF THE HYDROGEN ATOM . 93
8.1 BASIC PRINCIPLES OF SPECTROSCOPY . 93
8.2 THE OPTICAL SPECTRUM OF THE HYDROGEN ATOM . 95
8.3 BOHR'S POSTULATES . 98
8.4 SOME QUANTITATIVE CONCLUSIONS . 102
8.5 MOTION OF THE NUCLEUS . 103
8.6 SPECTRA OF HYDROGEN-LIKE ATOMS . 105
8.7 MUONIC ATOMS . 107
8.8 EXCITATION OF QUANTUM JUMPS BY COLLISIONS . 109
8.9 SOMMERFELD'S EXTENSION OF THE BOHR MODEL
AND THE EXPERIMENTAL JUSTIFICATION OF A SECOND QUANTUM NUMBER . 112
8.10 LIFTING OF ORBITAL DEGENERACY BY THE RELATIVISTIC MASS CHANGE . 113
8.11 LIMITS OF THE BOHR-SOMMERFELD THEORY.
THE CORRESPONDENCE PRINCIPLE . 114
8.12 RYDBERG ATOMS . 115
PROBLEMS . 117
9. THE MATHEMATICAL FRAMEWORK OF QUANTUM THEORY . 119
9.1 THE PARTICLE IN A BOX . 119
9.2 THE SCHRDDINGER EQUATION . 123
CONTENTS XI
9.3 THE CONCEPTUAL BASIS OF QUANTUM THEORY. 125
9.3.1 OBSERVATIONS, VALUES OF MEASUREMENTS AND OPERATORS . 125
9.3.2 MOMENTUM MEASUREMENT AND MOMENTUM PROBABILITY. 126
9.3.3 AVERAGE VALUES AND EXPECTATION VALUES . 127
9.3.4 OPERATORS AND EXPECTATION VALUES . 130
9.3.5 EQUATIONS FOR DETERMINING THE WAVEFUNCTION . 131
9.3.6 SIMULTANEOUS OBSERVABILITY AND COMMUTATION RELATIONS . 133
9.4 THE QUANTUM MECHANICAL OSCILLATOR . 136
PROBLEMS. 142
10. QUANTUM MECHANICS OF THE HYDROGEN ATOM . 147
10.1 MOTION IN A CENTRAL FIELD . 147
10.2 ANGULAR MOMENTUM EIGENFUNCTIONS. 149
10.3 THE RADIAL WAVEFUNCTIONS IN A CENTRAL FIELD * . 155
10.4 THE RADIAL WAVEFUNCTIONS OF HYDROGEN . 157
PROBLEMS . 163
11. LIFTING OF THE ORBITAL DEGENERACY IN THE SPECTRA OF ALKALI ATOMS .
165
11.1 SHELL STRUCTURE . 165
11.2 SCREENING . 167
11.3 THE TERM DIAGRAM . 168
11.4 INNER SHELLS . 173
PROBLEMS . 173
12. ORBITAL AND SPIN MAGNETISM. FINE STRUCTURE . 175
12.1 INTRODUCTION AND OVERVIEW . 175
12.2 MAGNETIC MOMENT OF THE ORBITAL MOTION . 176
12.3 PRECESSION AND ORIENTATION IN A MAGNETIC FIELD. 178
12.4 SPIN AND MAGNETIC MOMENT OF THE ELECTRON. 180
12.5 DETERMINATION OF THE GYROMAGNETIC RATIO
BY THE EINSTEIN-DE HAAS METHOD . 182
12.6 DETECTION OF DIRECTIONAL QUANTISATION BY STERN AND GERLACH. 183
12.7 FINE STRUCTURE AND SPIN-ORBIT COUPLING: OVERVIEW . 185
12.8 CALCULATION OF SPIN-ORBIT SPLITTING IN THE BOHR MODEL . 186
12.9 LEVEL SCHEME OF THE ALKALI ATOMS . 190
12.10 FINE STRUCTURE IN THE HYDROGEN ATOM . 191
12.11 THE LAMB SHIFT . 192
PROBLEMS . 196
13. ATOMS IN A MAGNETIC FIELD:
EXPERIMENTS AND THEIR SEMICLASSICAL DESCRIPTION . 199
13.1 DIRECTIONAL QUANTISATION IN A MAGNETIC FIELD . 199
13.2 ELECTRON SPIN RESONANCE. 199
13.3 THE ZEEMAN EFFECT . 202
13.3.1 EXPERIMENTS . 202
13.3.2 EXPLANATION OF THE ZEEMAN EFFECT FROM THE STANDPOINT
OF CLASSICAL ELECTRON THEORY . 204
13.3.3 DESCRIPTION OF THE ORDINARY ZEEMAN EFFECT
BY THE VECTOR MODEL . 206
XII CONTENTS
13.3.4 THE ANOMALOUS ZEEMAN EFFECT . 208
13.3.5 MAGNETIC MOMENTS WITH SPIN-ORBIT COUPLING . 209
13.4 THE PASCHEN-BACK EFFECT . 211
13.5 DOUBLE RESONANCE AND OPTICAL PUMPING . 212
PROBLEMS . 214
14. ATOMS IN A MAGNETIC FIELD: QUANTUM MECHANICAL TREATMENT. 215
14.1 QUANTUM THEORY OF THE ORDINARY ZEEMAN EFFECT . 215
14.2 QUANTUM THEORETICAL TREATMENT OF THE ELECTRON AND PROTON SPINS .
217
14.2.1 SPIN AS ANGULAR MOMENTUM . 217
14.2.2 SPIN OPERATORS, SPIN MATRICES AND SPIN WAVEFUNCTIONS . 218
14.2.3 THE SCHRODINGER EQUATION OF A SPIN IN A MAGNETIC FIELD . 220
14.2.4 DESCRIPTION OF SPIN PRECESSION BY EXPECTATION VALUES . 222
14.3 QUANTUM MECHANICAL TREATMENT OF THE ANOMALOUS ZEEMAN EFFECT
WITH SPIN-ORBIT COUPLING* . 224
14.4 QUANTUM THEORY OF A SPIN IN MUTUALLY PERPENDICULAR
MAGNETIC FIELDS, ONE CONSTANT AND ONE TIME DEPENDENT . 228
14.5 THE BLOCH EQUATIONS . 233
14.6 THE RELATIVISTIC THEORY OF THE ELECTRON. THE DIRAC EQUATION . 235
PROBLEMS . 241
15. ATOMS IN AN ELECTRIC FIELD . 243
15.1 OBSERVATIONS OF THE STARK EFFECT . 243
15.2 QUANTUM THEORY OF THE LINEAR AND QUADRATIC STARK EFFECTS . 245
15.2.1 THE HAMILTONIAN . 245
15.2.2 THE QUADRATIC STARK EFFECT.
PERTURBATION THEORY WITHOUT DEGENERACY* . 246
15.2.3 THE LINEAR STARK EFFECT.
PERTURBATION THEORY IN THE PRESENCE OF DEGENERACY* . 249
15.3 THE INTERACTION OF A TWO-LEVEL ATOM
WITH A COHERENT RADIATION FIELD . 252
15.4 SPIN- AND PHOTON ECHOES . 255
15.5 A GLANCE AT QUANTUM ELECTRODYNAMICS* . 258
15.5.1 FIELD QUANTIZATION . 258
15.5.2 MASS RENORMALIZATION AND LAMB SHIFT . 263
PROBLEMS . 270
16. GENERAL LAWS OF OPTICAL TRANSITIONS . 273
16.1 SYMMETRIES AND SELECTION RULES . 273
16.1.1 OPTICAL MATRIX ELEMENTS. 273
16.1.2 EXAMPLES OF THE SYMMETRY BEHAVIOUR OF WAVEFUNCTIONS . 273
16.1.3 SELECTION RULES . 278
16.1.4 SELECTION RULES AND MULTIPOLE RADIATION* . 281
16.2 LINEWIDTHS AND LINESHAPES. 284
17. MANY-ELECTRON ATOMS. 289
17.1 THE SPECTRUM OF THE HELIUM ATOM . 289
17.2 ELECTRON REPULSION AND THE PAULI PRINCIPLE . 291
CONTENTS XLLL
17.3 ANGULAR MOMENTUM COUPLING. 292
17.3.1 COUPLING MECHANISM. 292
17.3.2 LS COUPLING (RUSSELL-SAUNDERS COUPLING) . 292
17.3.3 JJ COUPLING . 296
17.4 MAGNETIC MOMENTS OF MANY-ELECTRON ATOMS . 298
17.5 MULTIPLE EXCITATIONS. 298
PROBLEMS. 299
18. X-RAY SPECTRA, INTERNAL SHELLS . 301
18.1 INTRODUCTORY REMARKS . 301
18.2 X-RADIATION FROM OUTER SHELLS . 301
18.3 X-RAY BREMSSTRAHLUNG SPECTRA. 302
18.4 EMISSION LINE SPECTRA: CHARACTERISTIC RADIATION . 304
18.5 FINE STRUCTURE OF THE X-RAY SPECTRA. 306
18.6 ABSORPTION SPECTRA . 308
18.7 THE AUGER EFFECT . 310
18.8 PHOTOELECTRON SPECTROSCOPY (XPS), ESCA . 312
PROBLEMS . 313
19. STRUCTURE OF THE PERIODIC SYSTEM. GROUND STATES OF THE ELEMENTS. 315
19.1 PERIODIC SYSTEM AND SHELL STRUCTURE . 315
19.2 GROUND STATES OF ATOMS . 322
19.3 EXCITED STATES AND COMPLETE TERM SCHEME . 324
19.4 THE MANY-ELECTRON PROBLEM. HARTREE-FOCK METHOD* . 325
19.4.1 THE TWO-ELECTRON PROBLEM . 325
19.4.2 MANY ELECTRONS WITHOUT MUTUAL INTERACTIONS. 330
19.4.3 COULOMB INTERACTION OF ELECTRONS.
HARTREE AND HARTREE-FOCK METHODS . 331
PROBLEMS . 334
20. NUCLEAR SPIN, HYPERFINE STRUCTURE. 337
20.1 INFLUENCE OF THE ATOMIC NUCLEUS ON ATOMIC SPECTRA . 337
20.2 SPINS AND MAGNETIC MOMENTS OF ATOMIC NUCLEI . 338
20.3 THE HYPERFINE INTERACTION . 340
20.4 HYPERFINE STRUCTURE IN THE GROUND STATES OF THE HYDROGEN
AND SODIUM ATOMS . 344
20.5 HYPERFINE STRUCTURE IN AN EXTERNAL MAGNETIC FIELD,
ELECTRON SPIN RESONANCE. 346
20.6 DIRECT MEASUREMENTS OF NUCLEAR SPINS AND MAGNETIC MOMENTS,
NUCLEAR MAGNETIC RESONANCE . 350
20.7 APPLICATIONS OF NUCLEAR MAGNETIC RESONANCE. 354
20.8 THE NUCLEAR ELECTRIC QUADRUPOLE MOMENT . 359
PROBLEMS . 361
21. THE LASER . 363
21.1 SOME BASIC CONCEPTS FOR THE LASER . 363
21.2 RATE EQUATIONS AND LASING CONDITIONS . 366
21.3 AMPLITUDE AND PHASE OF LASER LIGHT . 369
PROBLEMS . 372
XIV
CONTENTS
22. MODERN METHODS OF OPTICAL SPECTROSCOPY . 375
22.1 CLASSICAL METHODS . 375
22.2 QUANTUM BEATS. 376
22.3 DOPPLER-FREE SATURATION SPECTROSCOPY. 378
22.4 DOPPLER-FREE TWO-PHOTON ABSORPTION. 380
22.5 LEVEL-CROSSING SPECTROSCOPY AND THE HANLE EFFECT . 382
22.6 LASER COOLING OF ATOMS . 384
23. FUNDAMENTALS OF THE QUANTUM THEORY OF CHEMICAL BONDING . 389
23.1 INTRODUCTORY REMARKS . 389
23.2 THE HYDROGEN-MOLECULE ION H
2+ . 389
23.3 THE TUNNEL EFFECT . 395
23.4 THE HYDROGEN MOLECULE H2 . 397
23.5 COVALENT-IONIC RESONANCE . 404
23.6 THE HUND-MULLIKEN-BLOCH THEORY OF BONDING IN HYDROGEN . 405
23.7 HYBRIDISATION . 406
23.8 THE N ELECTRONS OF BENZENE, C6H6 . 408
PROBLEMS . 410
APPENDIX . 411
A. THE DIRAC DELTA FUNCTION AND THE NORMALISATION
OF THE WAVEFUNCTION OF A FREE PARTICLE IN UNBOUNDED SPACE . 411
B. SOME PROPERTIES OF THE HAMILTONIAN OPERATOR, ITS EIGENFUNCTIONS
AND ITS EIGENVALUES . 415
C. DERIVATION OF HEISENBERG'S UNCERTAINTY RELATION . 416
SOLUTIONS TO THE PROBLEMS . 419
BIBLIOGRAPHY OF SUPPLEMENTARY AND SPECIALISED LITERATURE. 449
SUBJECT INDEX . 453
FUNDAMENTAL CONSTANTS OF ATOMIC PHYSICS (INSIDE FRONT COVER)
ENERGY CONVERSION TABLE (INSIDE BACK COVER) |
| any_adam_object | 1 |
| author | Haken, Hermann 1927-2024 Wolf, Hans Christoph 1929-2020 |
| author_GND | (DE-588)118824414 (DE-588)115780807 |
| author_facet | Haken, Hermann 1927-2024 Wolf, Hans Christoph 1929-2020 |
| author_role | aut aut |
| author_sort | Haken, Hermann 1927-2024 |
| author_variant | h h hh h c w hc hcw |
| building | Verbundindex |
| bvnumber | BV024784811 |
| classification_rvk | UM 2000 |
| ctrlnum | (OCoLC)722518510 (DE-599)BVBBV024784811 |
| discipline | Physik |
| edition | 3., corr. and enl. ed. |
| format | Book |
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| genre | 1\p (DE-588)4123623-3 Lehrbuch gnd-content |
| genre_facet | Lehrbuch |
| id | DE-604.BV024784811 |
| illustrated | Illustrated |
| indexdate | 2024-10-09T18:17:58Z |
| institution | BVB |
| isbn | 3540563121 0387563121 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-019466818 |
| oclc_num | 722518510 |
| open_access_boolean | |
| owner | DE-11 DE-188 |
| owner_facet | DE-11 DE-188 |
| physical | XVI, 462 S. Ill., graph. Darst. |
| publishDate | 1993 |
| publishDateSearch | 1993 |
| publishDateSort | 1993 |
| publisher | Springer |
| record_format | marc |
| spelling | Haken, Hermann 1927-2024 Verfasser (DE-588)118824414 aut Atom- und Quantenphysik The physics of atoms and quanta introduction to experiments and theory ; with 160 problems and solutions Hermann Haken ; Hans Christoph Wolf 3., corr. and enl. ed. Berlin [u. a.] Springer 1993 XVI, 462 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Quantenphysik (DE-588)4266670-3 gnd rswk-swf Atomphysik (DE-588)4003423-9 gnd rswk-swf Quantenmechanik (DE-588)4047989-4 gnd rswk-swf Quantentheorie (DE-588)4047992-4 gnd rswk-swf 1\p (DE-588)4123623-3 Lehrbuch gnd-content Atomphysik (DE-588)4003423-9 s Quantentheorie (DE-588)4047992-4 s DE-604 Quantenmechanik (DE-588)4047989-4 s 2\p DE-604 Quantenphysik (DE-588)4266670-3 s 3\p DE-604 Wolf, Hans Christoph 1929-2020 Verfasser (DE-588)115780807 aut Früher u.d.T. Haken, Hermann Atomic and quantum physics (DE-604)BV023806496 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019466818&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Haken, Hermann 1927-2024 Wolf, Hans Christoph 1929-2020 The physics of atoms and quanta introduction to experiments and theory ; with 160 problems and solutions Quantenphysik (DE-588)4266670-3 gnd Atomphysik (DE-588)4003423-9 gnd Quantenmechanik (DE-588)4047989-4 gnd Quantentheorie (DE-588)4047992-4 gnd |
| subject_GND | (DE-588)4266670-3 (DE-588)4003423-9 (DE-588)4047989-4 (DE-588)4047992-4 (DE-588)4123623-3 |
| title | The physics of atoms and quanta introduction to experiments and theory ; with 160 problems and solutions |
| title_alt | Atom- und Quantenphysik |
| title_auth | The physics of atoms and quanta introduction to experiments and theory ; with 160 problems and solutions |
| title_exact_search | The physics of atoms and quanta introduction to experiments and theory ; with 160 problems and solutions |
| title_full | The physics of atoms and quanta introduction to experiments and theory ; with 160 problems and solutions Hermann Haken ; Hans Christoph Wolf |
| title_fullStr | The physics of atoms and quanta introduction to experiments and theory ; with 160 problems and solutions Hermann Haken ; Hans Christoph Wolf |
| title_full_unstemmed | The physics of atoms and quanta introduction to experiments and theory ; with 160 problems and solutions Hermann Haken ; Hans Christoph Wolf |
| title_old | Haken, Hermann Atomic and quantum physics |
| title_short | The physics of atoms and quanta |
| title_sort | the physics of atoms and quanta introduction to experiments and theory with 160 problems and solutions |
| title_sub | introduction to experiments and theory ; with 160 problems and solutions |
| topic | Quantenphysik (DE-588)4266670-3 gnd Atomphysik (DE-588)4003423-9 gnd Quantenmechanik (DE-588)4047989-4 gnd Quantentheorie (DE-588)4047992-4 gnd |
| topic_facet | Quantenphysik Atomphysik Quantenmechanik Quantentheorie Lehrbuch |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019466818&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT hakenhermann atomundquantenphysik AT wolfhanschristoph atomundquantenphysik AT hakenhermann thephysicsofatomsandquantaintroductiontoexperimentsandtheorywith160problemsandsolutions AT wolfhanschristoph thephysicsofatomsandquantaintroductiontoexperimentsandtheorywith160problemsandsolutions |