Introduction to quantum mechanics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Chichester [u.a.]
Wiley
2003
|
| Schriftenreihe: | The Manchester physics series
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XVI, 266 S. Ill., graph. Darst. |
| ISBN: | 0470853247 9780470853238 0470853239 |
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| 100 | 1 | |a Phillips, Anthony C. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Introduction to quantum mechanics |c A. C. Phillips |
| 264 | 1 | |a Chichester [u.a.] |b Wiley |c 2003 | |
| 300 | |a XVI, 266 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
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| 490 | 0 | |a The Manchester physics series | |
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Datensatz im Suchindex
| _version_ | 1804138026170843136 |
|---|---|
| adam_text | Contents
Foreword
xi
Editor s preface to the Manchester Physics Series
xiii
Author s preface
xv
1
PLANCK S CONSTANT IN ACTION
1.1
Photons
1
1.2 De Broglie
Waves
4
1.3
Atoms
7
1.4
Measurement
10
The uncertainty principle
11
Measurement and wave-particle duality
13
Measurement and non-locality
16
Problems
1 17
2
THE
SCHRÖDINGER
EQUATION
2.1
Waves
21
Sinusoidal waves
21
Linear superpositions of sinusoidal waves
22
Dispersive and non-dispersive waves
23
2.2
Particle Wave Equations
26
A wave equation for a free particle
27
Wave equation for a particle in a potential energy field
29
Problems
2 31
3
POSITION AND MOMENTUM
3.1
Probability
35
Discrete random variables
35
Continuous random variables
37
3.2
Position Probabilities
38
Two-slit interference
38
The Born interpretation of the wave function
41
viii Contents
3.3
Momentum Probabilities
42
3.4
A Particle in a Box I
44
3.5
Expectation Values
46
Operators
48
Uncertainties
49
3.6
Quantum States
50
Problems
3 52
4
ENERGY AND TIME
4.1
The Hamiltonian Operator
59
4.2
Normal Modes of a String
60
4.3
States of Certain Energy
63
4.4
A Particle in a Box II
66
A one-dimensional box
66
A three-dimensional box
69
4.5
States of Uncertain Energy
71
Basis functions
71
Energy probability amplitudes
73
4.6
Time Dependence
74
Problems
4 77
5
SQUARE WELLS AND BARRIERS
5.1
Bound and Unbound States
83
Bound states
85
Unbound states
88
General implications
93
5.2
Barrier Penetration
94
Stationary state analysis of reflection and transmission
95
Tunnelling through wide barriers
97
Tunnelling electrons
99
Tunnelling protons
100
Problems
5 103
6
THE HARMONIC OSCILLATOR
6.1
The Classical Oscillator
109
6.2
The Quantum Oscillator
110
6.3
Quantum States
112
Stationary states
112
Non-stationary states
116
6.4
Diatomic Molecules
118
6.5
Three-dimensional Oscillators
121
6.6
The Oscillator Eigenvalue Problem
123
The ground state
125
Contents ix
Excited
states 126
Is Eo really the lowest energy?
127
Mathematical properties of the oscillator eigenfunctions
128
Problems
6 128
7
OBSERVABLES
AND OPERATORS
7.1
Essential Properties
136
7.2
Position and Momentum
138
Eigenfunctions for position
138
Eigenfunctions for momentum
139
Delta function normalization
140
7.3
Compatible
Observables
141
7.4
Commutators
142
A particle in one dimension
143
A particle in three dimensions
145
7.5
Constants of Motion
146
Problems
7 148
8
ANGULAR MOMENTUM
8.1
Angular Momentum Basics
155
8.2
Magnetic Moments
158
Classical magnets
158
Quantum magnets
159
Magnetic energies and the Stern-Gerlach experiment
161
8.3
Orbital Angular Momentum
163
Classical orbital angular momentum
163
Quantum orbital angular momentum
164
Angular shape of wave functions
164
Spherical harmonics
169
Linear superposition
171
Problems
8 174
9
THE HYDROGEN ATOM
9.1
Central Potentials
179
Classical mechanics of a particle in a central potential
179
Quantum mechanics of a particle in a central potential
182
9.2
Quantum Mechanics of the Hydrogen Atom
185
Energy levels and eigenfunctions
188
9.3
Sizes and Shapes
191
9.4
Radiative Transitions
194
9.5
The Reduced Mass Effect
196
9.6
Relativistic Effects
198
9.7
The Coulomb Eigenvalue Problem
202
χ
Contents
Problems 9 205
10
IDENTICAL PARTICLES
10.1
Exchange Symmetry
213
10.2
Physical Consequences
215
10.3
Exchange Symmetry with Spin
219
10.4
Bosons and
Fermions
222
Problems
10
224
11
ATOMS
11.1
Atomic Quantum States
229
The central field approximation
230
Corrections to the central field approximation
234
11.2
The Periodic Table
238
11.3
What If?
241
Problems
11
246
Hints to selected problems
249
Further reading
262
Index
263
Physical constants and conversion factors
Inside Back Cover
|
| adam_txt |
Contents
Foreword
xi
Editor's preface to the Manchester Physics Series
xiii
Author's preface
xv
1
PLANCK'S CONSTANT IN ACTION
1.1
Photons
1
1.2 De Broglie
Waves
4
1.3
Atoms
7
1.4
Measurement
10
The uncertainty principle
11
Measurement and wave-particle duality
13
Measurement and non-locality
16
Problems
1 17
2
THE
SCHRÖDINGER
EQUATION
2.1
Waves
21
Sinusoidal waves
21
Linear superpositions of sinusoidal waves
22
Dispersive and non-dispersive waves
23
2.2
Particle Wave Equations
26
A wave equation for a free particle
27
Wave equation for a particle in a potential energy field
29
Problems
2 31
3
POSITION AND MOMENTUM
3.1
Probability
35
Discrete random variables
35
Continuous random variables
37
3.2
Position Probabilities
38
Two-slit interference
38
The Born interpretation of the wave function
41
viii Contents
3.3
Momentum Probabilities
42
3.4
A Particle in a Box I
44
3.5
Expectation Values
46
Operators
48
Uncertainties
49
3.6
Quantum States
50
Problems
3 52
4
ENERGY AND TIME
4.1
The Hamiltonian Operator
59
4.2
Normal Modes of a String
60
4.3
States of Certain Energy
63
4.4
A Particle in a Box II
66
A one-dimensional box
66
A three-dimensional box
69
4.5
States of Uncertain Energy
71
Basis functions
71
Energy probability amplitudes
73
4.6
Time Dependence
74
Problems
4 77
5
SQUARE WELLS AND BARRIERS
5.1
Bound and Unbound States
83
Bound states
85
Unbound states
88
General implications
93
5.2
Barrier Penetration
94
Stationary state analysis of reflection and transmission
95
Tunnelling through wide barriers
97
Tunnelling electrons
99
Tunnelling protons
100
Problems
5 103
6
THE HARMONIC OSCILLATOR
6.1
The Classical Oscillator
109
6.2
The Quantum Oscillator
110
6.3
Quantum States
112
Stationary states
112
Non-stationary states
116
6.4
Diatomic Molecules
118
6.5
Three-dimensional Oscillators
121
6.6
The Oscillator Eigenvalue Problem
123
The ground state
125
Contents ix
Excited
states 126
Is Eo really the lowest energy?
127
Mathematical properties of the oscillator eigenfunctions
128
Problems
6 128
7
OBSERVABLES
AND OPERATORS
7.1
Essential Properties
136
7.2
Position and Momentum
138
Eigenfunctions for position
138
Eigenfunctions for momentum
139
Delta function normalization
140
7.3
Compatible
Observables
141
7.4
Commutators
142
A particle in one dimension
143
A particle in three dimensions
145
7.5
Constants of Motion
146
Problems
7 148
8
ANGULAR MOMENTUM
8.1
Angular Momentum Basics
155
8.2
Magnetic Moments
158
Classical magnets
158
Quantum magnets
159
Magnetic energies and the Stern-Gerlach experiment
161
8.3
Orbital Angular Momentum
163
Classical orbital angular momentum
163
Quantum orbital angular momentum
164
Angular shape of wave functions
164
Spherical harmonics
169
Linear superposition
171
Problems
8 174
9
THE HYDROGEN ATOM
9.1
Central Potentials
179
Classical mechanics of a particle in a central potential
179
Quantum mechanics of a particle in a central potential
182
9.2
Quantum Mechanics of the Hydrogen Atom
185
Energy levels and eigenfunctions
188
9.3
Sizes and Shapes
191
9.4
Radiative Transitions
194
9.5
The Reduced Mass Effect
196
9.6
Relativistic Effects
198
9.7
The Coulomb Eigenvalue Problem
202
χ
Contents
Problems 9 205
10
IDENTICAL PARTICLES
10.1
Exchange Symmetry
213
10.2
Physical Consequences
215
10.3
Exchange Symmetry with Spin
219
10.4
Bosons and
Fermions
222
Problems
10
224
11
ATOMS
11.1
Atomic Quantum States
229
The central field approximation
230
Corrections to the central field approximation
234
11.2
The Periodic Table
238
11.3
What If?
241
Problems
11
246
Hints to selected problems
249
Further reading
262
Index
263
Physical constants and conversion factors
Inside Back Cover |
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| illustrated | Illustrated |
| index_date | 2024-07-02T22:05:35Z |
| indexdate | 2024-07-09T21:21:38Z |
| institution | BVB |
| isbn | 0470853247 9780470853238 0470853239 |
| language | English |
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| spelling | Phillips, Anthony C. Verfasser aut Introduction to quantum mechanics A. C. Phillips Chichester [u.a.] Wiley 2003 XVI, 266 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier The Manchester physics series Kwantummechanica gtt Quantentheorie Quantum theory Quantenmechanik (DE-588)4047989-4 gnd rswk-swf Quantenmechanik (DE-588)4047989-4 s DE-604 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016744286&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Phillips, Anthony C. Introduction to quantum mechanics Kwantummechanica gtt Quantentheorie Quantum theory Quantenmechanik (DE-588)4047989-4 gnd |
| subject_GND | (DE-588)4047989-4 |
| title | Introduction to quantum mechanics |
| title_auth | Introduction to quantum mechanics |
| title_exact_search | Introduction to quantum mechanics |
| title_exact_search_txtP | Introduction to quantum mechanics |
| title_full | Introduction to quantum mechanics A. C. Phillips |
| title_fullStr | Introduction to quantum mechanics A. C. Phillips |
| title_full_unstemmed | Introduction to quantum mechanics A. C. Phillips |
| title_short | Introduction to quantum mechanics |
| title_sort | introduction to quantum mechanics |
| topic | Kwantummechanica gtt Quantentheorie Quantum theory Quantenmechanik (DE-588)4047989-4 gnd |
| topic_facet | Kwantummechanica Quantentheorie Quantum theory Quantenmechanik |
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