How to be a quantum mechanic:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boca Raton ; London ; New York
CRC Press
2023
|
| Edition: | First edition |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | xvi, 379 Seiten Illustrationen, Diagramme |
| ISBN: | 9781032256030 9781032256023 |
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MARC
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Record in the Search Index
| _version_ | 1804184556305121280 |
|---|---|
| adam_text | CONTENTS 1. Strangest Things 1.1. 1.2. 1.3. 1.4. Planck, Einstein, Compton, de Broglie Neutron Interference Photon Interference Bohr and Hydrogen Problems 2. The Schrôdinger Equation. Bound States 2.1. 2.2. 2.3. 2.4. 2.5. 2.6. 2.7. 2.8. 2.9. The Time-Dependent Schrödinger Equation The Wave Function The Time-Independent Equation. Energy Eigenstates The Infinite Square Well The Finite Square Well The Delta-Function Well Schrödinger in Three Dimensions Two Important Energy Eigenstates Qualitative Properties of Bound Energy Eigenstates Problems 3. Simple Approximations for Bound States 3.1. 3.2. 3.3. 3.4. Dimensions and Scaling Fitting Wavelengths in a Well Guessing the Ground-State Wave Function Useful Integrals Problems 4. Scattering in One Dimension 4.1. 4.2. 4.3. 4.4. 4.5. 4.6. 4.7. Particle Densities and Currents Scattering by a Step A General Rectangular Barrier A Simple Rectangular Barrier Designing with Rectangular Barriers Thin Films and Light Weak Tunneling Problems 1 2 4 7 9 14 17 18 21 23 26 28 34 37 41 44 45 54 55 58 62 67 68 70 71 74 76 80 82 86 87 90 5. Mathematical Formalism 93 5.1. 5.2. 5.3. 5.4. 5.5. 94 98 100 102 104 Vector Spaces. Dirac Notation States as Vectors Operators Successive Operations. Commutators Operators as Matrices vii
5.6. Expectation Values 5.7. More Theorems 5.8. Revised Rules Problems 105 Ιθθ 108 109 6. The Harmonic Oscillator Hl 112 113 119 123 125 6.1. 6.2. 6.3. 6.4. The Classical Oscillator The Quantum Oscillator: Series Solution The Operator Solution States as Vectors, Operators as Matrices Problems 7. Uncertainty Relations. Simultaneous Eigenstates 7.1. 7.2. 7.3. 7.4. 7.5. 7.6. Heisenberg Uncertainty Relations The Schwarz Inequality Proof of Uncertainty Relations Fourier Transforms. Momentum Space Time and Energy When Operators Commute Problems 8. Angular Momentum 8.1. 8.2. 8.3. 8.4. 8.5. 8.6. 8.7. 8.8. Central Forces. Separation of Variables Angular Momentum Commutation Relations The Operator Solution Certainty and Uncertainty States as Vectors,Operators as Matrices (Again) Differential Operators for Orbital Angular Momentum Spherical Harmonics Angular Momentum and the Oscillator Problems 9. Hydrogen. The Isotropic Oscillator 9.1. 9.2. 9.3. 9.4. 9.5. 9.6. The Effective Potential Energy The Hydrogen Bound-State Energies The Hydrogen Eigenfunctions The Isotropic-Oscillator Energies The Oscillator Eigenfunctions Hydrogen and the Oscillator Problems 10. Spin-1/2 Particles 10.1. Spinors. Eigenvalues and Eigenstates 10.2. The Polarization Vector viii 130 131 132 133 135 138 142 144 147 148 150 152 156 157 159 161 163 163 165 166 167 170 174 177 177 180 183 184 187
10.3. 10.4. 10.5. 10.6. 10.7. Magnetic Interactions and Zeeman Splitting Time Dependence and Larmor Precession Time Dependence and Magnetic Resonance Stern-Gerlach Experiments Polarization and Light Problems 11. Hyperfine Splitting. Two Angular Momenta. Isospin 11.1. 11.2. 11.3. 11.4. 11.5. 11.6. Hyperfine Structure of the Hydrogen Ground State The 21-cm Line and Astronomy Coupling Two Spin-1/2 Particles Coupling Any Two Angular Momenta Clebsch-Gordan Coefficients Particle Multiplets and Isospin Problems 12. Cryptography. The EPR Argument.Bell’s Inequality 12.1. Quantum Cryptography 12.2. The EPR Argument 12.3. Bell’s Inequality Problems 13. Time-IndependentPerturbation Theory 13.1. 13.2. 13.3. 13.4. 13.5. 13.6. 13.7. 13.8. 13.9. 13.10. The Nondegenerate Recipes Examples of Nondegenerate Theory The Nondegenerate Derivations The Degenerate Recipe Two Selection Rules. A Useful Relation The Stark Effect in Hydrogen (Strong-Field Case) Hydrogen Fine Structure: Experiment Hydrogen Fine Structure: Theory Atomic Magnetic Moments The Zeeman Effect in Hydrogen (Weak-Field Case) Problems 14. Identical Particles 14.1. 14.2. 14.3. 14.4. 14.5. 14.6. 14.7. Electrons in a Box Electrons in an Atom: the Periodic Table Electrons in an Atom: More Pauli Two-Electron Symmetries The Helium Ground State The Electron-Electron Repulsion Integral Helium Excited States. Exchange Degeneracy ix 189 191 192 196 199 201 204 205 208 209 212 214 216 218 223 224 226 227 231 233 234 236 239 241 243 245 248 250 255 257 259 263 264 267 273 275 276 281 283
14.8. Fermions and Bosons. How to Count.Symmetries Problems 288 291 15. Time-Dependent Perturbations.Planck andEinstein 296 15.1. 15.2. 15.3. 15.4. 15.5. 15.6. 15.7. 15.8. 15.9. 15.10. 297 298 300 302 305 307 308 311 313 314 316 Sudden Changes Time-Dependent Perturbation Theory Magnetic Resonance (Again) Hydrogen in an Electromagnetic Wave Averaging over Polarizations and Frequencies The Boltzmann Factor Planck’s Oscillators Black-Body Radiation Einstein’s A and В Coefficients Decay Lifetimes Problems 16. Scattering 16.1. 16.2. 16.3. 16.4. 16.5. 16.6. 16.7. 16.8. Solid Angle Classical Particle Scattering. Rutherford The Scattering Amplitude The Born Approximation Kinematics Partial-Wave Theory Partial-Wave Examples Scattering of Identical Particles Problems 17. The Dirac Equation 320 321 322 328 334 337 339 344 348 350 17.1. Dirac at Play 17.2. Spin! Problems 356 357 360 362 Sources of Quotes Index 365 367 x
|
| adam_txt |
CONTENTS 1. Strangest Things 1.1. 1.2. 1.3. 1.4. Planck, Einstein, Compton, de Broglie Neutron Interference Photon Interference Bohr and Hydrogen Problems 2. The Schrôdinger Equation. Bound States 2.1. 2.2. 2.3. 2.4. 2.5. 2.6. 2.7. 2.8. 2.9. The Time-Dependent Schrödinger Equation The Wave Function The Time-Independent Equation. Energy Eigenstates The Infinite Square Well The Finite Square Well The Delta-Function Well Schrödinger in Three Dimensions Two Important Energy Eigenstates Qualitative Properties of Bound Energy Eigenstates Problems 3. Simple Approximations for Bound States 3.1. 3.2. 3.3. 3.4. Dimensions and Scaling Fitting Wavelengths in a Well Guessing the Ground-State Wave Function Useful Integrals Problems 4. Scattering in One Dimension 4.1. 4.2. 4.3. 4.4. 4.5. 4.6. 4.7. Particle Densities and Currents Scattering by a Step A General Rectangular Barrier A Simple Rectangular Barrier Designing with Rectangular Barriers Thin Films and Light Weak Tunneling Problems 1 2 4 7 9 14 17 18 21 23 26 28 34 37 41 44 45 54 55 58 62 67 68 70 71 74 76 80 82 86 87 90 5. Mathematical Formalism 93 5.1. 5.2. 5.3. 5.4. 5.5. 94 98 100 102 104 Vector Spaces. Dirac Notation States as Vectors Operators Successive Operations. Commutators Operators as Matrices vii
5.6. Expectation Values 5.7. More Theorems 5.8. Revised Rules Problems 105 Ιθθ 108 109 6. The Harmonic Oscillator Hl 112 113 119 123 125 6.1. 6.2. 6.3. 6.4. The Classical Oscillator The Quantum Oscillator: Series Solution The Operator Solution States as Vectors, Operators as Matrices Problems 7. Uncertainty Relations. Simultaneous Eigenstates 7.1. 7.2. 7.3. 7.4. 7.5. 7.6. Heisenberg Uncertainty Relations The Schwarz Inequality Proof of Uncertainty Relations Fourier Transforms. Momentum Space Time and Energy When Operators Commute Problems 8. Angular Momentum 8.1. 8.2. 8.3. 8.4. 8.5. 8.6. 8.7. 8.8. Central Forces. Separation of Variables Angular Momentum Commutation Relations The Operator Solution Certainty and Uncertainty States as Vectors,Operators as Matrices (Again) Differential Operators for Orbital Angular Momentum Spherical Harmonics Angular Momentum and the Oscillator Problems 9. Hydrogen. The Isotropic Oscillator 9.1. 9.2. 9.3. 9.4. 9.5. 9.6. The Effective Potential Energy The Hydrogen Bound-State Energies The Hydrogen Eigenfunctions The Isotropic-Oscillator Energies The Oscillator Eigenfunctions Hydrogen and the Oscillator Problems 10. Spin-1/2 Particles 10.1. Spinors. Eigenvalues and Eigenstates 10.2. The Polarization Vector viii 130 131 132 133 135 138 142 144 147 148 150 152 156 157 159 161 163 163 165 166 167 170 174 177 177 180 183 184 187
10.3. 10.4. 10.5. 10.6. 10.7. Magnetic Interactions and Zeeman Splitting Time Dependence and Larmor Precession Time Dependence and Magnetic Resonance Stern-Gerlach Experiments Polarization and Light Problems 11. Hyperfine Splitting. Two Angular Momenta. Isospin 11.1. 11.2. 11.3. 11.4. 11.5. 11.6. Hyperfine Structure of the Hydrogen Ground State The 21-cm Line and Astronomy Coupling Two Spin-1/2 Particles Coupling Any Two Angular Momenta Clebsch-Gordan Coefficients Particle Multiplets and Isospin Problems 12. Cryptography. The EPR Argument.Bell’s Inequality 12.1. Quantum Cryptography 12.2. The EPR Argument 12.3. Bell’s Inequality Problems 13. Time-IndependentPerturbation Theory 13.1. 13.2. 13.3. 13.4. 13.5. 13.6. 13.7. 13.8. 13.9. 13.10. The Nondegenerate Recipes Examples of Nondegenerate Theory The Nondegenerate Derivations The Degenerate Recipe Two Selection Rules. A Useful Relation The Stark Effect in Hydrogen (Strong-Field Case) Hydrogen Fine Structure: Experiment Hydrogen Fine Structure: Theory Atomic Magnetic Moments The Zeeman Effect in Hydrogen (Weak-Field Case) Problems 14. Identical Particles 14.1. 14.2. 14.3. 14.4. 14.5. 14.6. 14.7. Electrons in a Box Electrons in an Atom: the Periodic Table Electrons in an Atom: More Pauli Two-Electron Symmetries The Helium Ground State The Electron-Electron Repulsion Integral Helium Excited States. Exchange Degeneracy ix 189 191 192 196 199 201 204 205 208 209 212 214 216 218 223 224 226 227 231 233 234 236 239 241 243 245 248 250 255 257 259 263 264 267 273 275 276 281 283
14.8. Fermions and Bosons. How to Count.Symmetries Problems 288 291 15. Time-Dependent Perturbations.Planck andEinstein 296 15.1. 15.2. 15.3. 15.4. 15.5. 15.6. 15.7. 15.8. 15.9. 15.10. 297 298 300 302 305 307 308 311 313 314 316 Sudden Changes Time-Dependent Perturbation Theory Magnetic Resonance (Again) Hydrogen in an Electromagnetic Wave Averaging over Polarizations and Frequencies The Boltzmann Factor Planck’s Oscillators Black-Body Radiation Einstein’s A and В Coefficients Decay Lifetimes Problems 16. Scattering 16.1. 16.2. 16.3. 16.4. 16.5. 16.6. 16.7. 16.8. Solid Angle Classical Particle Scattering. Rutherford The Scattering Amplitude The Born Approximation Kinematics Partial-Wave Theory Partial-Wave Examples Scattering of Identical Particles Problems 17. The Dirac Equation 320 321 322 328 334 337 339 344 348 350 17.1. Dirac at Play 17.2. Spin! Problems 356 357 360 362 Sources of Quotes Index 365 367 x |
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| author | Wohl, Charles G. ca. 20./21. Jh |
| author_GND | (DE-588)1276355238 |
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| author_sort | Wohl, Charles G. ca. 20./21. Jh |
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| building | Verbundindex |
| bvnumber | BV048550612 |
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| ctrlnum | (OCoLC)1349560966 (DE-599)BVBBV048550612 |
| discipline | Physik |
| discipline_str_mv | Physik |
| edition | First edition |
| format | Book |
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| illustrated | Illustrated |
| index_date | 2024-07-03T20:57:11Z |
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| institution | BVB |
| isbn | 9781032256030 9781032256023 |
| language | English |
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| physical | xvi, 379 Seiten Illustrationen, Diagramme |
| publishDate | 2023 |
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| publisher | CRC Press |
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| spelling | Wohl, Charles G. ca. 20./21. Jh. Verfasser (DE-588)1276355238 aut How to be a quantum mechanic Charles G. Wohl First edition Boca Raton ; London ; New York CRC Press 2023 xvi, 379 Seiten Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier Quantenmechanik (DE-588)4047989-4 gnd rswk-swf Quantenmechanik (DE-588)4047989-4 s DE-604 Erscheint auch als Online-Ausgabe 978-1-003-28418-5 Digitalisierung UB Bayreuth - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=033926999&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Wohl, Charles G. ca. 20./21. Jh How to be a quantum mechanic Quantenmechanik (DE-588)4047989-4 gnd |
| subject_GND | (DE-588)4047989-4 |
| title | How to be a quantum mechanic |
| title_auth | How to be a quantum mechanic |
| title_exact_search | How to be a quantum mechanic |
| title_exact_search_txtP | How to be a quantum mechanic |
| title_full | How to be a quantum mechanic Charles G. Wohl |
| title_fullStr | How to be a quantum mechanic Charles G. Wohl |
| title_full_unstemmed | How to be a quantum mechanic Charles G. Wohl |
| title_short | How to be a quantum mechanic |
| title_sort | how to be a quantum mechanic |
| topic | Quantenmechanik (DE-588)4047989-4 gnd |
| topic_facet | Quantenmechanik |
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