Quantum physics:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Hoboken, NJ
Wiley
2003
|
| Edition: | 3. ed., Wiley internat. ed. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XVI, 336 S. Ill., graph. Darst. |
| ISBN: | 0471057002 0471429457 |
Staff View
MARC
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| 100 | 1 | |a Gasiorowicz, Stephen |d 1928- |e Verfasser |0 (DE-588)108410226 |4 aut | |
| 245 | 1 | 0 | |a Quantum physics |c Stephen Gasiorowicz |
| 250 | |a 3. ed., Wiley internat. ed. | ||
| 264 | 1 | |a Hoboken, NJ |b Wiley |c 2003 | |
| 300 | |a XVI, 336 S. |b Ill., graph. Darst. | ||
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Record in the Search Index
| _version_ | 1804129781530230784 |
|---|---|
| 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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| author | Gasiorowicz, Stephen 1928- |
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| author_facet | Gasiorowicz, Stephen 1928- |
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| discipline | Physik |
| edition | 3. ed., Wiley internat. ed. |
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| genre_facet | Lehrbuch |
| id | DE-604.BV016446837 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T19:10:36Z |
| institution | BVB |
| isbn | 0471057002 0471429457 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010169939 |
| oclc_num | 51763992 |
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| physical | XVI, 336 S. Ill., graph. Darst. |
| publishDate | 2003 |
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| publisher | Wiley |
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| spelling | Gasiorowicz, Stephen 1928- Verfasser (DE-588)108410226 aut Quantum physics Stephen Gasiorowicz 3. ed., Wiley internat. ed. Hoboken, NJ Wiley 2003 XVI, 336 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Kwantummechanica gtt Quantentheorie Quantum theory Quantenmechanik (DE-588)4047989-4 gnd rswk-swf Quantenphysik (DE-588)4266670-3 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Quantenphysik (DE-588)4266670-3 s DE-604 Quantenmechanik (DE-588)4047989-4 s Digitalisierung UB Regensburg application/pdf 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 Inhaltsverzeichnis |
| 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 |
| url | 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 |
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