Fundamentals of quantum mechanics:
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| Previous Title: | House, James E. Fundamentals of quantum chemistry |
|---|---|
| Main Author: | |
| Format: | Book |
| Language: | English |
| Published: |
London, United Kingdom ; San Diego, CA, United States ; Cambridge, MA, United States ; Kidlington, Oxford, United Kingdom
Academic Press
[2018]
|
| Edition: | Third edition |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | x, 362 Seiten Illustrationen, Diagramme (überwiegend farbig) |
| ISBN: | 9780128092422 |
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Record in the Search Index
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| adam_text | Titel: Fundamentals of quantum mechanics
Autor: House, James E
Jahr: 2018
CONTENTS
Preface ix
1. Origins of Quantum Theory 1
1.1 Blackbody Radiation 1
1.2 The Line Spectrum of Atomic Hydrogen 4
1.3 Electrons and the Nucleus 6
1.4 The Bohr Model for the Hydrogen Atom 7
1.5 The Photoelectric Effect 14
1.6 Particle-Wave Duality 16
1.7 The Heisenberg Uncertainty Principle 18
Problems 20
2. The Methods of Quantum Mechanics 23
2.1 The Postulates 23
2.2 The Wave Equation 25
2.3 Operators 27
2.4 Eigenvalues 28
2.5 Wave Functions 32
Problems 37
3. Particles in Boxes 39
3.1 The Particle in a One-Dimensional Box 39
3.2 Separation of Variables 45
3.3 The Particle in a Three-Dimensional Box 46
3.4 F-Centers in Crystals 51
3.5 Solvated Electrons 52
Problems 54
4. The Hydrogen Atom 57
4.1 Schrödinger s Solution to the Hydrogen Atom Problem 57
4.2 Interpreting the Solutions 63
4.3 p and d Wave Functions and Orbitals 67
4.4 Orthogonality 69
4.5 Approximate Wave Functions and the Variation Method 72
Problems 76
v
vi Contents
5. Structure and Properties of More Complex Atoms 77
5.1 The Helium Atom 77
5.2 Perturbation Method 80
5.3 Slater Wave Functions 84
5.4 Electron Configurations 86
5.5 Spectroscopic States 90
Literature Cited 98
Problems 98
6. Vibrations and the Harmonie Oscillator 101
6.1 The Vibrating Object 101
6.2 Linear Differential Equations with Constant Coefficients 103
6.3 Back to the Vibrating Object 108
6.4 The Quantum Mechanical Harmonie Oscillator 111
6.5 Series Solutions of Differential Equations 112
6.6 Back to the Harmonie Oscillator 116
6.7 Population of States 128
6.8 Heat Capacity of Metals 129
Literature Cited 134
Problems 134
7. Molecular Rotation and Spectroscopy 137
7.1 Rotational Energies 137
7.2 Quantum Mechanics of Rotation 140
7.3 Heat Capacities of Gases 146
7.4 Energy Levels in Gaseous Atoms and Molecules 149
7.5 Rotational Spectra of Diatomic Molecules 133
Problems 137
8. Bonding and Properties of Diatomic Molecules 159
8.1 An Elementary Look at Covalent Bonds 139
8.2 Some Simple Relationships for Bonds 160
8.3 The LCAO-MO Method 164
8.4 Diatomic Molecules of the Second Period 12°
8.5 Overlap and Exchange Integrals 176
8.6 Heteronuclear Diatomic Molecules 129
8.7 Symmetry of Molecular Orbitals 106
8.8 Orbital Symmetry and Reactivity 1®7
8.9 Term Symbols 109
Literature Cited 191
Problems 192
Contents vii
9. The Hückel Molecular Orbital Method 195
9.1 The Hückel Method 195
9.2 Determinants 199
9.3 Solving Polynomial Equations 204
9.4 Hückel Calculations for Larger Molecules 209
9.5 Calculations Including Heteroatoms 217
9.6 Some Triatomic Inorganic Molecules 219
9.7 Kernels, Repulsion, and Stability 222
9.8 Band Theory of Metals 225
Literature Cited 228
Problems 229
10. Molecular Structure and Symmetry 231
10.1 Valence Bond Description of Molecular Structure 231
10.2 What Symmetry Means 235
10.3 Symmetry Elements 237
10.4 What Point Group Is It? 243
10.5 Group Theory 245
10.6 Symmetry of Molecular Orbitals 251
10.7 Molecular Orbital Diagrams 252
10.8 The Three-Center Bond 259
10.9 Orbital Symmetry and Reactivity 261
Literature Cited 267
Problems 267
11. Molecular Spectroscopy 271
11.1 Visible and Ultraviolet Spectroscopy 271
11.2 Electronic Transitions in Molecules 272
11.3 Photoelectron Spectroscopy 274
11.4 Determining Bond Lengths in Diatomic Molecules 277
11.5 Structure Determination 279
11.6 Types of Bonds Present 282
11.7 Solvatochromism 283
11.8 The Hydrogen Bond 284
11.9 Effects of Hydrogen Bonding on Spectra 290
Literature Cited 294
Problems 295
12. Spectroscopy of Metal Complexes 297
12.1 The Effect of Ligands on d Orbitals 297
12.2 Bands in Electronic Spectra of Complexes 301
viii Contents
12.3 Interpreting Electronic Spectra of Complexes 304
12.4 Charge Transfer Absorption 309
12.5 Back Donation 310
Literature Cited 314
Problems 314
13. Barrier Penetration 315
13.1 The Phenomenon of Barrier Penetration 315
13.2 The Wave Equations 316
13.3 Alpha Decay 321
13.4 Tunneling and Superconductivity 324
13.5 The Scanning Tunneling Microscope 328
13.6 Spin Tunneling 329
13.7 Tunneling in Ammonia Inversion 331
Literature Cited 332
Problems 333
14.Comments on Computational Methods 335
14.1 The Fundamental Problem 335
14.2 The Basis Set 336
14.3 The Extended Hückel Method 337
14.4 The Hartree-Fock Self-Consistent Field Approach 339
14.5 Density Functional Theory 344
14.6 Epilogue 345
Literature Cited 346
Problem 346
References for Further Reading
Answers to Selected Problems
Index
349
351
355
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| any_adam_object | 1 |
| author | House, James E. 1936- |
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| author_facet | House, James E. 1936- |
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| bvnumber | BV044460861 |
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| discipline | Chemie / Pharmazie Physik |
| edition | Third edition |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-07-10T07:53:35Z |
| institution | BVB |
| isbn | 9780128092422 |
| language | English |
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| spelling | House, James E. 1936- Verfasser (DE-588)1081633735 aut Fundamentals of quantum mechanics J.E. House (Illinois Wesleyan University and Illinois State University) Third edition London, United Kingdom ; San Diego, CA, United States ; Cambridge, MA, United States ; Kidlington, Oxford, United Kingdom Academic Press [2018] © 2018 x, 362 Seiten Illustrationen, Diagramme (überwiegend farbig) txt rdacontent n rdamedia nc rdacarrier QUANTENTHEORIE LEHRBÜCHER (DOKUMENTENTYP) QUANTUM THEORY THÉORIE QUANTIQUE TEXTBOOKS (DOCUMENT TYPE) MANUELS POUR L'ENSEIGNEMENT (TYPE DE DOCUMENT) Quantum theory Quantum theory fast Quantentheorie Quantenmechanik (DE-588)4047989-4 gnd rswk-swf Quantenmechanik (DE-588)4047989-4 s DE-604 Vorangegangen ist House, James E. Fundamentals of quantum chemistry 2. ed. Amsterdam [u.a.]: Elsevier, 2004 (DE-604)BV019741853 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029861539&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | House, James E. 1936- Fundamentals of quantum mechanics QUANTENTHEORIE LEHRBÜCHER (DOKUMENTENTYP) QUANTUM THEORY THÉORIE QUANTIQUE TEXTBOOKS (DOCUMENT TYPE) MANUELS POUR L'ENSEIGNEMENT (TYPE DE DOCUMENT) Quantum theory Quantum theory fast Quantentheorie Quantenmechanik (DE-588)4047989-4 gnd |
| subject_GND | (DE-588)4047989-4 |
| title | Fundamentals of quantum mechanics |
| title_auth | Fundamentals of quantum mechanics |
| title_exact_search | Fundamentals of quantum mechanics |
| title_full | Fundamentals of quantum mechanics J.E. House (Illinois Wesleyan University and Illinois State University) |
| title_fullStr | Fundamentals of quantum mechanics J.E. House (Illinois Wesleyan University and Illinois State University) |
| title_full_unstemmed | Fundamentals of quantum mechanics J.E. House (Illinois Wesleyan University and Illinois State University) |
| title_old | House, James E. Fundamentals of quantum chemistry |
| title_short | Fundamentals of quantum mechanics |
| title_sort | fundamentals of quantum mechanics |
| topic | QUANTENTHEORIE LEHRBÜCHER (DOKUMENTENTYP) QUANTUM THEORY THÉORIE QUANTIQUE TEXTBOOKS (DOCUMENT TYPE) MANUELS POUR L'ENSEIGNEMENT (TYPE DE DOCUMENT) Quantum theory Quantum theory fast Quantentheorie Quantenmechanik (DE-588)4047989-4 gnd |
| topic_facet | QUANTENTHEORIE LEHRBÜCHER (DOKUMENTENTYP) QUANTUM THEORY THÉORIE QUANTIQUE TEXTBOOKS (DOCUMENT TYPE) MANUELS POUR L'ENSEIGNEMENT (TYPE DE DOCUMENT) Quantum theory Quantentheorie Quantenmechanik |
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