Modern quantum mechanics:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boston [u.a.]
Addison-Wesley
2011
|
| Edition: | 2. ed., international ed. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XVIII, 550 S. graph. Darst. |
| ISBN: | 9780321503367 0321503368 |
Staff View
MARC
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| 100 | 1 | |a Sakurai, Jun J. |d 1933-1982 |e Verfasser |0 (DE-588)132909308 |4 aut | |
| 245 | 1 | 0 | |a Modern quantum mechanics |c J. J. Sakurai ; Jim Napolitano |
| 250 | |a 2. ed., international ed. | ||
| 264 | 1 | |a Boston [u.a.] |b Addison-Wesley |c 2011 | |
| 300 | |a XVIII, 550 S. |b graph. Darst. | ||
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Record in the Search Index
| _version_ | 1804136522909220864 |
|---|---|
| adam_text | Contents
Foreword to the First Edition
ix
Preface to the Revised Edition
xi
Preface to the Second Edition
xiii
In
Memoriam
xvii
1 ■
Fundamental Concepts
1
1.1
The Stem-Gerlach Experiment
1
1.2
Kets, Bras,
and Operators
10
1.3
Base
Kets
and Matrix Representations
17
1.4
Measurements,
Observables,
and the Uncertainty Relations
23
1.5
Change of Basis
35
1.6
Position, Momentum, and Translation
40
1.7
Wave Functions in Position and Momentum Space
50
2 ■
Quantum Dynamics
66
2.1
Time
-Е
volution and the
Schrödinger
Equation
66
2.2
The
Schrödinger
Versus the
Heisenberg
Picture
80
2.3
Simple Harmonic Oscillator
89
2.4 Schrödinger s
Wave Equation
97
2.5
Elementary Solutions to
Schrödinger s
Wave Equation
103
2.6
Propagators and Feynman Path Integrals
116
2.7
Potentials and Gauge Transformations
129
3 ■
Theory of Angular Momentum
157
3.1
Rotations and Angular-Momentum Commutation Relations
157
3.2
Spin
j
Systems and Finite Rotations
163
3.3
SO(3), SU(2), and
Euler
Rotations
172
vi
Contents
3.4
Density
Operators
and Pure
Versus
Mixed
Ensembles 178
3
.5
Eigenvalues and Eigenstates of Angular Momentum
191
3.6
Orbital Angular Momentum
199
3.7 Schrödinger s
Equation for Central Potentials
207
3.8
Addition of Angular Momenta
217
3.9
Schwinger s Oscillator Model of Angular Momentum
232
3.10
Spin Correlation Measurements and Bell s Inequality
238
3.11
Tensor Operators
246
4 ■
Symmetry in Quantum Mechanics
262
4.1
Symmetries, Conservation Laws, and Degeneracies
262
4.2
Discrete Symmetries, Parity, or Space Inversion
269
4.3
Lattice Translation as a Discrete Symmetry
280
4.4
The Time-Reversal Discrete Symmetry
284
5 ■
Approximation Methods
303
5.1
Time-Independent Perturbation Theory:
Nondegenerate Case
303
5.2
Time-Independent Perturbation Theory: The Degenerate Case
316
5.3
Hydrogen-Like Atoms: Fine Structure and the
Zeeman
Effect
321
5.4
Variational Methods
332
5.5
Time-Dependent Potentials: The Interaction Picture
336
5.6
Hamiltonians with Extreme Time Dependence
345
5.7
Time-Dependent Perturbation Theory
355
5.8
Applications to Interactions with the Classical Radiation Field
365
5.9
Energy Shift and Decay Width
371
6 ■
Scattering Theory
386
6.1
Scattering as a Time-Dependent Perturbation
386
6.2
The Scattering Amplitude
391
6.3
The Born Approximation
399
6.4
Phase Shifts and Partial Waves
404
6.5
Eikonal Approximation
417
6.6
Low-Energy Scattering and Bound States
423
6.7
Resonance Scattering
430
6.8
Symmetry Considerations in Scattering
433
6.9
Inelastic Electron-Atom Scattering
436
7 ■
Identical Particles
446
7.1
Permutation Symmetry
446
7.2
Syrnmetrization Postulate
450
Contents
vii
7.3
Two-Electron System
452
7.4
The Helium Atom
455
7.5
Multiparticle States
459
7.6
Quantization of the Electromagnetic Field
472
б
■
Relativistic Quantum Mechanics
486
8.1
Paths to Relativistic Quantum Mechanics
486
8.2
The Dirac Equation
494
8.3
Symmetries of the Dirac Equation
501
8.4
Solving with a Central Potential
506
8.5
Relativistic Quantum Field Theory
514
A
■
Electromagnetic Units
519
A.I Coulomb s Law, Charge, and Current
519
A.2 Converting Between Systems
520
В
■
Brief Summary of Elementary Solutions to
Schrödinger s
Wave Equation
523
B.
1
Free Particles (V
= 0) 523
B.2 Piecewise Constant Potentials in One Dimension
524
B.3 Transmission-Reflection Problems
525
B.4 Simple Harmonic Oscillator
526
B.5 The Central Force Problem [Spherically Symmetrical Potential
V
=
V(r)]
527
B.6 Hydrogen Atom
531
С
■
Proof of the Angular-Momentum Addition Rule Given by
Equation
(3.8.38) 533
Bibliography
535
Index
537
|
| adam_txt |
Contents
Foreword to the First Edition
ix
Preface to the Revised Edition
xi
Preface to the Second Edition
xiii
In
Memoriam
xvii
1 ■
Fundamental Concepts
1
1.1
The Stem-Gerlach Experiment
1
1.2
Kets, Bras,
and Operators
10
1.3
Base
Kets
and Matrix Representations
17
1.4
Measurements,
Observables,
and the Uncertainty Relations
23
1.5
Change of Basis
35
1.6
Position, Momentum, and Translation
40
1.7
Wave Functions in Position and Momentum Space
50
2 ■
Quantum Dynamics
66
2.1
Time
-Е
volution and the
Schrödinger
Equation
66
2.2
The
Schrödinger
Versus the
Heisenberg
Picture
80
2.3
Simple Harmonic Oscillator
89
2.4 Schrödinger's
Wave Equation
97
2.5
Elementary Solutions to
Schrödinger's
Wave Equation
103
2.6
Propagators and Feynman Path Integrals
116
2.7
Potentials and Gauge Transformations
129
3 ■
Theory of Angular Momentum
157
3.1
Rotations and Angular-Momentum Commutation Relations
157
3.2
Spin
j
Systems and Finite Rotations
163
3.3
SO(3), SU(2), and
Euler
Rotations
172
vi
Contents
3.4
Density
Operators
and Pure
Versus
Mixed
Ensembles 178
3
.5
Eigenvalues and Eigenstates of Angular Momentum
191
3.6
Orbital Angular Momentum
199
3.7 Schrödinger's
Equation for Central Potentials
207
3.8
Addition of Angular Momenta
217
3.9
Schwinger's Oscillator Model of Angular Momentum
232
3.10
Spin Correlation Measurements and Bell's Inequality
238
3.11
Tensor Operators
246
4 ■
Symmetry in Quantum Mechanics
262
4.1
Symmetries, Conservation Laws, and Degeneracies
262
4.2
Discrete Symmetries, Parity, or Space Inversion
269
4.3
Lattice Translation as a Discrete Symmetry
280
4.4
The Time-Reversal Discrete Symmetry
284
5 ■
Approximation Methods
303
5.1
Time-Independent Perturbation Theory:
Nondegenerate Case
303
5.2
Time-Independent Perturbation Theory: The Degenerate Case
316
5.3
Hydrogen-Like Atoms: Fine Structure and the
Zeeman
Effect
321
5.4
Variational Methods
332
5.5
Time-Dependent Potentials: The Interaction Picture
336
5.6
Hamiltonians with Extreme Time Dependence
345
5.7
Time-Dependent Perturbation Theory
355
5.8
Applications to Interactions with the Classical Radiation Field
365
5.9
Energy Shift and Decay Width
371
6 ■
Scattering Theory
386
6.1
Scattering as a Time-Dependent Perturbation
386
6.2
The Scattering Amplitude
391
6.3
The Born Approximation
399
6.4
Phase Shifts and Partial Waves
404
6.5
Eikonal Approximation
417
6.6
Low-Energy Scattering and Bound States
423
6.7
Resonance Scattering
430
6.8
Symmetry Considerations in Scattering
433
6.9
Inelastic Electron-Atom Scattering
436
7 ■
Identical Particles
446
7.1
Permutation Symmetry
446
7.2
Syrnmetrization Postulate
450
Contents
vii
7.3
Two-Electron System
452
7.4
The Helium Atom
455
7.5
Multiparticle States
459
7.6
Quantization of the Electromagnetic Field
472
б
■
Relativistic Quantum Mechanics
486
8.1
Paths to Relativistic Quantum Mechanics
486
8.2
The Dirac Equation
494
8.3
Symmetries of the Dirac Equation
501
8.4
Solving with a Central Potential
506
8.5
Relativistic Quantum Field Theory
514
A
■
Electromagnetic Units
519
A.I Coulomb's Law, Charge, and Current
519
A.2 Converting Between Systems
520
В
■
Brief Summary of Elementary Solutions to
Schrödinger's
Wave Equation
523
B.
1
Free Particles (V
= 0) 523
B.2 Piecewise Constant Potentials in One Dimension
524
B.3 Transmission-Reflection Problems
525
B.4 Simple Harmonic Oscillator
526
B.5 The Central Force Problem [Spherically Symmetrical Potential
V
=
V(r)]
527
B.6 Hydrogen Atom
531
С
■
Proof of the Angular-Momentum Addition Rule Given by
Equation
(3.8.38) 533
Bibliography
535
Index
537 |
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| any_adam_object_boolean | 1 |
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| author_facet | Sakurai, Jun J. 1933-1982 Napolitano, Jim 1955- |
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| author_sort | Sakurai, Jun J. 1933-1982 |
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| classification_tum | PHY 020 |
| ctrlnum | (OCoLC)633964183 (DE-599)BVBBV022445281 |
| discipline | Physik |
| discipline_str_mv | Physik |
| edition | 2. ed., international ed. |
| format | Book |
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| illustrated | Illustrated |
| index_date | 2024-07-02T17:34:12Z |
| indexdate | 2024-07-09T20:57:45Z |
| institution | BVB |
| isbn | 9780321503367 0321503368 |
| language | English |
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| spelling | Sakurai, Jun J. 1933-1982 Verfasser (DE-588)132909308 aut Modern quantum mechanics J. J. Sakurai ; Jim Napolitano 2. ed., international ed. Boston [u.a.] Addison-Wesley 2011 XVIII, 550 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Quantenmechanik (DE-588)4047989-4 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Quantenmechanik (DE-588)4047989-4 s DE-604 Napolitano, Jim 1955- Verfasser (DE-588)1017946507 aut Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015653274&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Sakurai, Jun J. 1933-1982 Napolitano, Jim 1955- Modern quantum mechanics Quantenmechanik (DE-588)4047989-4 gnd |
| subject_GND | (DE-588)4047989-4 (DE-588)4123623-3 |
| title | Modern quantum mechanics |
| title_auth | Modern quantum mechanics |
| title_exact_search | Modern quantum mechanics |
| title_exact_search_txtP | Modern quantum mechanics |
| title_full | Modern quantum mechanics J. J. Sakurai ; Jim Napolitano |
| title_fullStr | Modern quantum mechanics J. J. Sakurai ; Jim Napolitano |
| title_full_unstemmed | Modern quantum mechanics J. J. Sakurai ; Jim Napolitano |
| title_short | Modern quantum mechanics |
| title_sort | modern quantum mechanics |
| topic | Quantenmechanik (DE-588)4047989-4 gnd |
| topic_facet | Quantenmechanik Lehrbuch |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015653274&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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