Verfügbarkeit: Quantum physics | Technische Universität München

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Bibliographische Detailangaben
Beteilige Person:	Gasiorowicz, Stephen 1928- (VerfasserIn)
Format:	Buch
Sprache:	Englisch
Veröffentlicht:	Hoboken, NJ Wiley 2003
Ausgabe:	3. ed., Wiley internat. ed.
Schlagwörter:	Kwantummechanica Quantentheorie Quantum theory Quantenmechanik Quantenphysik Lehrbuch
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010169939&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Umfang:	XVI, 336 S. Ill., graph. Darst.
ISBN:	0471057002 0471429457

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Datensatz im Suchindex

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adam_text	Table of Contents 1. The Emergence of Quantum Physics 1-1 Blackbody Radiation 1 1-2 The Photoelectric Effect 5 1-3 The Compton Effect 7 1 -4 Wave Properties of Matter and Electron Diffraction 10 1-5 The Bohr Atom 15 The Rutherford Planetary Model 15 The Bohr Postulates 15 The Correspondence Principle 20 Problems 21 SUPPLEMENTS ON THE WEB SITE: 1-А Einstein s Approach to Planck s Law W-l 1-B Estimate of Lifetime of a Rutherford Atom W-4 2. Wave Particle Duality, Probability, and the Schrödinger Equation 23 2-1 Radiation as Particles, Electrons as Waves 23 2-2 Plane Waves and Wavepackets 25 *How Wave Packets Move 27 2-3 The Probability Interpretation of the Wave Function 28 2-4 The Schrödinger Equation 30 2-5 The Heisenberg Uncertainty Relations 32 Diffraction of a Photon Beam 32 Inability to Localize Bohr Orbits 33 Interim Summary 34 2-6 More on the Probability Interpretation 34 The Importance of Phases 35 The Probability Current 35 2-7 Expectation Values and the Momentum in Wave Mechanics 36 The Momentum in Wave Mechanics 37 Wave Function in Momentum Space 38 Problems 41 SUPPLEMENTS ON THE WEB SITE: 2-А The Fourier Integral and Delta Functions W-6 2-B A Brief Tutorial on Probability W-ll 3. Eigenvalues, Eigenfunctions, and the Expansion Postulate 44 3-1 The Time-Independent Schrödinger Equation 44 3-2 Eigenvalue Equations 45 3-3 The Eigenvalue Problem for a Particle in a Box 47 3-4 The Expansion Postulate and Its Physical Interpretation 52 The Interpretation of the Expansion Coefficients 53 xi xii Table of Contents 3-5 Momentum Eigenfunctions and the Free Particle 56 Normalization of the Free Particle Wave Function 57 Degeneracy 59 3-6 Parity 60 Problems 63 4. One-Dimensional Potentials 66 4-1 The Potential Step 66 4-2 The Potential Well 69 4-3 The Potential Barrier 71 4-4 An Example of Tunneling 73 4-5 Bound States in a Potential Well 75 4-6 Deltas Function Potentials 81 4-7 The Harmonic Oscillator 85 Problems 90 SUPPLEMENTS ON THE WEB SITE: 4-А The Wentzel-Kramers-Brillouin-Jeffreys Approximation W-14 4-B Tunneling in Nuclear Physics W-16 4-C Periodic Potentials W-I9 The Kronig-Penney Model W-21 5. The General Structure of Wave Mechanics 94 5-1 Eigenfunctions and Eigenvalues 94 The Hamiltonian Operator 94 5-2 Other Observables 96 The Interpretation of the Expansion Coefficients 97 5-3 Vector Spaces and Operators 98 5-4 Degeneracy and Simultaneous Observables 100 5-5 Time Dependence and the Classical Limit 103 Problems 105 SUPPLEMENT ON THE WEB SITE: 5-А Uncertainty Relations W-26 6. Operator Methods in Quantum Mechanics 107 6-1 Rephrasing Wave Mechanics — An Abstract View of Quantum Mechanics 107 Projection Operators 111 6-2 The Energy Spectrum of the Harmonic Oscillator 112 6-3 From Operators Back to the Schrödinger Equation 114 6-4 The Time Dependence of Operators 116 Problems 117 7. Angular Momentum 120 7-1 The Angular Momentum Commutation Relations 121 7-2 Raising and Lowering Operators for Angular Momentum 122 7-3 Representation of l,m) States in Spherical Coordinates 124 7-4 Comments on the Expansion Theorem 128 Problems 129 Table of Contents xiii SUPPLEMENTS ON THE WEB SITE: 7-А Rotational Invariance W-28 Invariance Under Rotations About the z-Axis W-28 7-B Angular Momentum in Spherical Coordinates W-30 8. The Schrödinger Equation in Three Dimensions and the Hydrogen Atom 131 8-1 The Central Potential 132 8-2 The Hydrogen Atom 133 8-3 The Energy Spectrum 133 The Degeneracy of the Spectrum 135 8-4 The Free Particle 140 8-5 Particle in an Infinite Spherical Well 143 Problems SUPPLEMENTS ON THE WEB SITE: 8-А A Useful Theorem W-35 8-B The Square Well, Continuum Solutions W-38 The Plane Wave Spherical Harmonics W-41 9. Matrix Representation of Operators 146 9-1 Matrices in Quantum Mechanics 146 9-2 Matrix Representations of Angular Momentum Operators 150 9-3 General Relations in Matrix Mechanics 151 Problems 156 10. Spin 158 10-1 Eigenstates of Spin 1/2 158 10-2 The Intrinsic Magnetic Moment of Spin 1/2 Particles 162 10-3 Paramagnetic Resonance 164 10-4 Addition of Two Spins 166 10-5 The Addition of Spin 1/2 and Orbital Angular Momentum 171 General Rules for Addition of Angular Momenta 171 Problems 172 SUPPLEMENTS ON THE WEB SITE: 10-A The Addition of Spin 1/2 and Orbital Angular Momentum (Details) W-43 General Rules f or Addition of Anguhr Momenta, and Implications for Identical Particles W-44 10-B The Levi-Civita Symbol and Maxwell s Equations W-47 11. Time-Independent Perturbation Theory 174 11-1 Energy Shifts and Perturbed Eigenstates 174 11-2 Degenerate Perturbation Theory 177 11-3 The Stark Effect 180 The Stark Effect for л = 2 States 182 Some Final Comments 184 Problems 185 xiv Table of Contents 12. The Real Hydrogen Atom 188 12-1 Relativistic Kinetic Energy Effects 188 12-2 Spin-Orbit Coupling 188 12-3 The Anomalous Zeeman Effect 191 12-4 Hyperfine Structure 194 12-5 Comments on Reduced Mass Effects 196 Problems 197 13. Many Particle Systems 199 13-1 The Two-Particle System 199 13-2 Identical Particles 201 The Exchange Operator 201 13-3 The Pauli Principle 202 N Fermions in a Potential Well 203 When Is Antisymmetrization Necessary? 204 13-4 The Exclusion Principle and the Two-Particle Problem 206 A Digression on Parity 206 13-5 The Exclusion Principle and Noninteracting Particles 207 13-6 Applications 211 Degeneracy Pressure and Bulk Modulus 211 Astrophysical Application 211 Problems 213 SUPPLEMENT ON THE WEB SITE: 13-А Conservation of Total Momentum W-49 14. About Atoms and Molecules 215 14-1 The Helium Atom without Electron-Electron Repulsion 215 Effects of the Exclusion Principle 217 14-2 Effects of Electron-Electron Repulsion 218 14-3 Exclusion Principle and Exchange Interaction 220 Autoionization 223 14-4 The Ritz Variational Principle 224 The Ground-State Energy of Helium 225 14-5 The Atom with Z Electrons 226 14-6 The Simplest Molecule H 228 Molecular Orbitals 229 14-7 Molecular Spectra 231 The Role of the Pauli Principle in Molecular Spectra 232 Problems 233 SUPPLEMENTS ON THE WEB SITE: 14-A The Hartree Approximation W-51 14-B The Bmlding-Up Principle W-55 Spectroscopie Description of Ground States W-58 14-C A Brief Discussion of Molecules W-64 The H2 Molecule W-64 The Valence Bond Method W-66 The Importance of Unpaired Valence Electrons W-67 Table of Contents xv 15. Time-Dependent Perturbation Theory 236 15-1 Formalism 236 15-2 Harmonic Time-Variation of the Potential 238 15-3 Phase Space 241 Problems 244 SUPPLEMENTS ON THE WEB SITE: 15-A Lifetimes, Linewidths, and Resonances W-69 15-B The Interaction Picture W-73 16. The Interaction of Charged Particles with the Electromagnetic Field 246 16-1 Classical Electrodynamics 246 16-2 The Schrödinger Equation for an Electron in Interaction with Electromagnetic Field 249 16-3 The Constant Magnetic Field 250 Classical Limit 252 16-4 Landau Levels 253 16-5 The Integral Quantum Hall Effect 255 16-6 An Additional Comment on Gauge Invariance 257 Problems 258 SUPPLEMENTS ON THE WEB SITE: 16-A The Aharov-Bohm Effect W-75 16-B A Little about Bessel Functions W-80 17. Radiative Decays 260 17-1 Transition Rate 260 17-2 Calculation of the Matrix Element 262 17-3 Angular Integration and Selection Rules 263 17-4 The 2p-> Is Transition 267 Problems 269 SUPPLEMENT ON THE WEB SITE: 17- A Spin and Intensity Rules W-81 18. Selected Topics on Radiation 270 18-1 Lasers 270 Conditions for the Operation of a Laser 271 Optical Pumping 271 The Cavity 272 18-2 The Cooling of Atoms 273 18-3 The Two-Level System 275 18-4 The Three-Level System 278 18-5 Observation of Quantum Jumps 279 18-6 The Mössbauer Effect 282 SUPPLEMENTS ON THE WEB SITE: 18-A Quantizing the Electromagnetic Field without Frills W-83 18-B Details of the Three-Level System W-86 Dark States W-89 Electromagnetically Induced Transparency W-89 xvi Table of Contents 19. Collision Theory 287 19-1 Collision Cross Section 287 Elastic and Inelastic Scattering 291 19-2 Scattering at Low Energies 294 The Breit-Wigner Formula 297 5- Wave Scattering for Square Well 298 Connection between Scattering Amplitude and Binding Energy 299 Spin-Dependent Scattering 300 19-3 The Born Approximation 302 19-4 Scattering of Identical Particles 305 Scattering by Atoms on a Lattice 307 19-5 An Inelastic Process: The Photoelectric Effect 308 Problems 312 20. Entanglement and Its Implications 316 20-1 The Two-Slit Experiment and Which-way Information 318 20-2 The Quantum Eraser 320 20-3 Entanglement and EPR 322 20-4 Quantum Measurements 325 Decoherence and the Schrödinger Cat 327 SUPPLEMENTS ON THE WEB SITE: 20-A Which-way Measurements and the Quantum Eraser W-91 20-B The Creation of GHZ States W-95 20-C The Density Operator W-98 Pure State W-98 Mixed State W-100 Physical Constants 329 References 330 Index 333
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spellingShingle	Gasiorowicz, Stephen 1928- Quantum physics Kwantummechanica gtt Quantentheorie Quantum theory Quantenmechanik (DE-588)4047989-4 gnd Quantenphysik (DE-588)4266670-3 gnd
subject_GND	(DE-588)4047989-4 (DE-588)4266670-3 (DE-588)4123623-3
title	Quantum physics
title_auth	Quantum physics
title_exact_search	Quantum physics
title_full	Quantum physics Stephen Gasiorowicz
title_fullStr	Quantum physics Stephen Gasiorowicz
title_full_unstemmed	Quantum physics Stephen Gasiorowicz
title_short	Quantum physics
title_sort	quantum physics
topic	Kwantummechanica gtt Quantentheorie Quantum theory Quantenmechanik (DE-588)4047989-4 gnd Quantenphysik (DE-588)4266670-3 gnd
topic_facet	Kwantummechanica Quantentheorie Quantum theory Quantenmechanik Quantenphysik Lehrbuch
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