The quantum mechanics solver: how to apply quantum theory to modern physics ; with numerous problems and solutions
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2006
|
| Edition: | 2. ed. |
| Series: | École polytechnique
|
| Subjects: | |
| Online Access: | Inhaltstext Inhaltsverzeichnis |
| Physical Description: | XIV, 292 S. graph. Darst. |
| ISBN: | 9783540277217 3540277218 9783540634096 3540634096 |
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| 245 | 1 | 0 | |a The quantum mechanics solver |b how to apply quantum theory to modern physics ; with numerous problems and solutions |c Jean-Louis Basdevant ; Jean Dalibard |
| 250 | |a 2. ed. | ||
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Record in the Search Index
| _version_ | 1804135015436517376 |
|---|---|
| adam_text | Contents
Summary of Quantum Mechanics 1
1 Principles 1
2 General Results 4
3 The Particular Case of a Point Like Particle; Wave Mechanics. 4
4 Angular Momentum and Spin 6
5 Exactly Soluble Problems 7
6 Approximation Methods 9
7 Identical Particles 10
8 Time Evolution of Systems 11
9 Collision Processes 12
Part I Elementary Particles, Nuclei and Atoms
1 Neutrino Oscillations 17
1.1 Mechanism of the Oscillations; Reactor Neutrinos 18
1.2 Oscillations of Three Species; Atmospheric Neutrinos 20
1.3 Solutions 23
1.4 Comments 27
2 Atomic Clocks 29
2.1 The Hyperfine Splitting of the Ground State 29
2.2 The Atomic Fountain 31
2.3 The GPS System 32
2.4 The Drift of Fundamental Constants 32
2.5 Solutions 33
3 Neutron Interferometry 37
3.1 Neutron Interferences 38
3.2 The Gravitational Effect 39
3.3 Rotating a Spin 1/2 by 360 Degrees 40
X Contents
3.4 Solutions 42
4 Spectroscopic Measurement on a Neutron Beam 47
4.1 Ramsey Fringes 47
4.2 Solutions 49
5 Analysis of a Stern—Gerlach Experiment 55
5.1 Preparation of the Neutron Beam 55
5.2 Spin State of the Neutrons 57
5.3 The Stern Gerlach Experiment 57
5.4 Solutions 59
6 Measuring the Electron Magnetic Moment Anomaly 65
6.1 Spin and Momentum Precession of an Electron
in a Magnetic Field 65
6.2 Solutions 66
7 Decay of a Tritium Atom 69
7.1 The Energy Balance in Tritium Decay 69
7.2 Solutions 70
7.3 Comments 71
8 The Spectrum of Positronium 73
8.1 Positronium Orbital States 73
8.2 Hyperfine Splitting 73
8.3 Zeeman Effect in the Ground State 74
8.4 Decay of Positronium 75
8.5 Solutions 77
9 The Hydrogen Atom in Crossed Fields 81
9.1 The Hydrogen Atom in Crossed Electric
and Magnetic Fields 82
9.2 Pauli s Result 82
9.3 Solutions 83
10 Energy Loss of Ions in Matter 87
10.1 Energy Absorbed by One Atom 87
10.2 Energy Loss in Matter 88
10.3 Solutions 90
10.4 Comments 94
Contents XI
Part II Quantum Entanglement and Measurement
11 The EPR Problem and Bell s Inequality 99
11.1 The Electron Spin 99
11.2 Correlations Between the Two Spins 100
11.3 Correlations in the Singlet State 100
11.4 A Simple Hidden Variable Model 101
11.5 Bell s Theorem and Experimental Results 102
11.6 Solutions 103
12 Schrodinger s Cat 109
12.1 The Quasi Classical States
of a Harmonic Oscillator 109
12.2 Construction of a Schrodinger Cat State Ill
12.3 Quantum Superposition Versus Statistical Mixture Ill
12.4 The Fragility of a Quantum Superposition 112
12.5 Solutions 114
12.6 Comments 119
13 Quantum Cryptography 121
13.1 Preliminaries 121
13.2 Correlated Pairs of Spins 122
13.3 The Quantum Cryptography Procedure 125
13.4 Solutions 126
14 Direct Observation of Field Quantization 131
14.1 Quantization of a Mode of the Electromagnetic Field 131
14.2 The Coupling of the Field with an Atom 133
14.3 Interaction of the Atom with
an Empty Cavity 134
14.4 Interaction of an Atom
with a Quasi Classical State 135
14.5 Large Numbers of Photons: Damping
and Revivals 136
14.6 Solutions 137
14.7 Comments 144
15 Ideal Quantum Measurement 147
15.1 Preliminaries: a von Neumann Detector 147
15.2 Phase States of the Harmonic Oscillator 148
15.3 The Interaction between the System
and the Detector 149
15.4 An Ideal Measurement 149
15.5 Solutions 150
XII Contents
15.6 Comments 153
16 The Quantum Eraser 155
16.1 Magnetic Resonance 155
16.2 Ramsey Fringes 156
16.3 Detection of the Neutron Spin State 158
16.4 A Quantum Eraser 159
16.5 Solutions 160
16.6 Comments 166
17 A Quantum Thermometer 169
17.1 The Penning Trap in Classical Mechanics 169
17.2 The Penning Trap in Quantum Mechanics 170
17.3 Coupling of the Cyclotron and Axial Motions 172
17.4 A Quantum Thermometer 173
17.5 Solutions 174
Part III Complex Systems
18 Exact Results for the Three Body Problem 185
18.1 The Two Body Problem 185
18.2 The Variational Method 186
18.3 Relating the Three Body and Two Body Sectors 186
18.4 The Three Body Harmonic Oscillator 187
18.5 From Mesons to Baryons in the Quark Model 187
18.6 Solutions 188
19 Properties of a Bose—Einstein Condensate 193
19.1 Particle in a Harmonic Trap 193
19.2 Interactions Between Two Confined Particles 194
19.3 Energy of a Bose Einstein Condensate 195
19.4 Condensates with Repulsive Interactions 195
19.5 Condensates with Attractive Interactions 196
19.6 Solutions 197
19.7 Comments 202
20 Magnetic Excitons 203
20.1 The Molecule CsFeBr3 203
20.2 Spin Spin Interactions in a Chain of Molecules 204
20.3 Energy Levels of the Chain 204
20.4 Vibrations of the Chain: Excitons 206
20.5 Solutions 208
Contents XIII
21 A Quantum Box 215
21.1 Results on the One Dimensional
Harmonic Oscillator 216
21.2 The Quantum Box 217
21.3 Quantum Box in a Magnetic Field 218
21.4 Experimental Verification 219
21.5 Anisotropy of a Quantum Box 220
21.6 Solutions 221
21.7 Comments 229
22 Colored Molecular Ions 231
22.1 Hydrocarbon Ions 231
22.2 Nitrogenous Ions 232
22.3 Solutions 233
22.4 Comments 235
23 Hyperflne Structure in Electron Spin Resonance 237
23.1 Hyperfine Interaction with One Nucleus 238
23.2 Hyperfine Structure with Several Nuclei 238
23.3 Experimental Results 239
23.4 Solutions 240
24 Probing Matter with Positive Muons 245
24.1 Muonium in Vacuum 246
24.2 Muonium in Silicon 247
24.3 Solutions 249
25 Quantum Reflection of Atoms from a Surface 255
25.1 The Hydrogen Atom Liquid Helium Interaction 255
25.2 Excitations on the Surface of Liquid Helium 257
25.3 Quantum Interaction Between H and Liquid He 258
25.4 The Sticking Probability 258
25.5 Solutions 259
25.6 Comments 265
26 Laser Cooling and Trapping 267
26.1 Optical Bloch Equations for an Atom at Rest 267
26.2 The Radiation Pressure Force 268
26.3 Doppler Cooling 269
26.4 The Dipole Force 270
26.5 Solutions 270
26.6 Comments 276
XIV Contents
27 Bloch Oscillations 277
27.1 Unitary Transformation on a Quantum System 277
27.2 Band Structure in a Periodic Potential 277
27.3 The Phenomenon of Bloch Oscillations 278
27.4 Solutions 281
27.5 Comments 285
Author Index 287
Subject Index 289
|
| adam_txt |
Contents
Summary of Quantum Mechanics 1
1 Principles 1
2 General Results 4
3 The Particular Case of a Point Like Particle; Wave Mechanics. 4
4 Angular Momentum and Spin 6
5 Exactly Soluble Problems 7
6 Approximation Methods 9
7 Identical Particles 10
8 Time Evolution of Systems 11
9 Collision Processes 12
Part I Elementary Particles, Nuclei and Atoms
1 Neutrino Oscillations 17
1.1 Mechanism of the Oscillations; Reactor Neutrinos 18
1.2 Oscillations of Three Species; Atmospheric Neutrinos 20
1.3 Solutions 23
1.4 Comments 27
2 Atomic Clocks 29
2.1 The Hyperfine Splitting of the Ground State 29
2.2 The Atomic Fountain 31
2.3 The GPS System 32
2.4 The Drift of Fundamental Constants 32
2.5 Solutions 33
3 Neutron Interferometry 37
3.1 Neutron Interferences 38
3.2 The Gravitational Effect 39
3.3 Rotating a Spin 1/2 by 360 Degrees 40
X Contents
3.4 Solutions 42
4 Spectroscopic Measurement on a Neutron Beam 47
4.1 Ramsey Fringes 47
4.2 Solutions 49
5 Analysis of a Stern—Gerlach Experiment 55
5.1 Preparation of the Neutron Beam 55
5.2 Spin State of the Neutrons 57
5.3 The Stern Gerlach Experiment 57
5.4 Solutions 59
6 Measuring the Electron Magnetic Moment Anomaly 65
6.1 Spin and Momentum Precession of an Electron
in a Magnetic Field 65
6.2 Solutions 66
7 Decay of a Tritium Atom 69
7.1 The Energy Balance in Tritium Decay 69
7.2 Solutions 70
7.3 Comments 71
8 The Spectrum of Positronium 73
8.1 Positronium Orbital States 73
8.2 Hyperfine Splitting 73
8.3 Zeeman Effect in the Ground State 74
8.4 Decay of Positronium 75
8.5 Solutions 77
9 The Hydrogen Atom in Crossed Fields 81
9.1 The Hydrogen Atom in Crossed Electric
and Magnetic Fields 82
9.2 Pauli's Result 82
9.3 Solutions 83
10 Energy Loss of Ions in Matter 87
10.1 Energy Absorbed by One Atom 87
10.2 Energy Loss in Matter 88
10.3 Solutions 90
10.4 Comments 94
Contents XI
Part II Quantum Entanglement and Measurement
11 The EPR Problem and Bell's Inequality 99
11.1 The Electron Spin 99
11.2 Correlations Between the Two Spins 100
11.3 Correlations in the Singlet State 100
11.4 A Simple Hidden Variable Model 101
11.5 Bell's Theorem and Experimental Results 102
11.6 Solutions 103
12 Schrodinger's Cat 109
12.1 The Quasi Classical States
of a Harmonic Oscillator 109
12.2 Construction of a Schrodinger Cat State Ill
12.3 Quantum Superposition Versus Statistical Mixture Ill
12.4 The Fragility of a Quantum Superposition 112
12.5 Solutions 114
12.6 Comments 119
13 Quantum Cryptography 121
13.1 Preliminaries 121
13.2 Correlated Pairs of Spins 122
13.3 The Quantum Cryptography Procedure 125
13.4 Solutions 126
14 Direct Observation of Field Quantization 131
14.1 Quantization of a Mode of the Electromagnetic Field 131
14.2 The Coupling of the Field with an Atom 133
14.3 Interaction of the Atom with
an "Empty" Cavity 134
14.4 Interaction of an Atom
with a Quasi Classical State 135
14.5 Large Numbers of Photons: Damping
and Revivals 136
14.6 Solutions 137
14.7 Comments 144
15 Ideal Quantum Measurement 147
15.1 Preliminaries: a von Neumann Detector 147
15.2 Phase States of the Harmonic Oscillator 148
15.3 The Interaction between the System
and the Detector 149
15.4 An "Ideal" Measurement 149
15.5 Solutions 150
XII Contents
15.6 Comments 153
16 The Quantum Eraser 155
16.1 Magnetic Resonance 155
16.2 Ramsey Fringes 156
16.3 Detection of the Neutron Spin State 158
16.4 A Quantum Eraser 159
16.5 Solutions 160
16.6 Comments 166
17 A Quantum Thermometer 169
17.1 The Penning Trap in Classical Mechanics 169
17.2 The Penning Trap in Quantum Mechanics 170
17.3 Coupling of the Cyclotron and Axial Motions 172
17.4 A Quantum Thermometer 173
17.5 Solutions 174
Part III Complex Systems
18 Exact Results for the Three Body Problem 185
18.1 The Two Body Problem 185
18.2 The Variational Method 186
18.3 Relating the Three Body and Two Body Sectors 186
18.4 The Three Body Harmonic Oscillator 187
18.5 From Mesons to Baryons in the Quark Model 187
18.6 Solutions 188
19 Properties of a Bose—Einstein Condensate 193
19.1 Particle in a Harmonic Trap 193
19.2 Interactions Between Two Confined Particles 194
19.3 Energy of a Bose Einstein Condensate 195
19.4 Condensates with Repulsive Interactions 195
19.5 Condensates with Attractive Interactions 196
19.6 Solutions 197
19.7 Comments 202
20 Magnetic Excitons 203
20.1 The Molecule CsFeBr3 203
20.2 Spin Spin Interactions in a Chain of Molecules 204
20.3 Energy Levels of the Chain 204
20.4 Vibrations of the Chain: Excitons 206
20.5 Solutions 208
Contents XIII
21 A Quantum Box 215
21.1 Results on the One Dimensional
Harmonic Oscillator 216
21.2 The Quantum Box 217
21.3 Quantum Box in a Magnetic Field 218
21.4 Experimental Verification 219
21.5 Anisotropy of a Quantum Box 220
21.6 Solutions 221
21.7 Comments 229
22 Colored Molecular Ions 231
22.1 Hydrocarbon Ions 231
22.2 Nitrogenous Ions 232
22.3 Solutions 233
22.4 Comments 235
23 Hyperflne Structure in Electron Spin Resonance 237
23.1 Hyperfine Interaction with One Nucleus 238
23.2 Hyperfine Structure with Several Nuclei 238
23.3 Experimental Results 239
23.4 Solutions 240
24 Probing Matter with Positive Muons 245
24.1 Muonium in Vacuum 246
24.2 Muonium in Silicon 247
24.3 Solutions 249
25 Quantum Reflection of Atoms from a Surface 255
25.1 The Hydrogen Atom Liquid Helium Interaction 255
25.2 Excitations on the Surface of Liquid Helium 257
25.3 Quantum Interaction Between H and Liquid He 258
25.4 The Sticking Probability 258
25.5 Solutions 259
25.6 Comments 265
26 Laser Cooling and Trapping 267
26.1 Optical Bloch Equations for an Atom at Rest 267
26.2 The Radiation Pressure Force 268
26.3 Doppler Cooling 269
26.4 The Dipole Force 270
26.5 Solutions 270
26.6 Comments 276
XIV Contents
27 Bloch Oscillations 277
27.1 Unitary Transformation on a Quantum System 277
27.2 Band Structure in a Periodic Potential 277
27.3 The Phenomenon of Bloch Oscillations 278
27.4 Solutions 281
27.5 Comments 285
Author Index 287
Subject Index 289 |
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| author | Basdevant, Jean-Louis 1939- Dalibard, Jean 1958- |
| author_GND | (DE-588)133559130 (DE-588)121510824 |
| author_facet | Basdevant, Jean-Louis 1939- Dalibard, Jean 1958- |
| author_role | aut aut |
| author_sort | Basdevant, Jean-Louis 1939- |
| author_variant | j l b jlb j d jd |
| building | Verbundindex |
| bvnumber | BV021247803 |
| classification_rvk | UK 1000 UK 1050 |
| classification_tum | PHY 020f |
| ctrlnum | (OCoLC)181471512 (DE-599)BVBBV021247803 |
| discipline | Physik |
| discipline_str_mv | Physik |
| edition | 2. ed. |
| format | Book |
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| id | DE-604.BV021247803 |
| illustrated | Illustrated |
| index_date | 2024-07-02T13:38:37Z |
| indexdate | 2024-07-09T20:33:47Z |
| institution | BVB |
| isbn | 9783540277217 3540277218 9783540634096 3540634096 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-014569261 |
| oclc_num | 181471512 |
| open_access_boolean | |
| owner | DE-29T DE-703 DE-20 DE-91G DE-BY-TUM DE-384 DE-355 DE-BY-UBR DE-19 DE-BY-UBM DE-11 DE-706 |
| owner_facet | DE-29T DE-703 DE-20 DE-91G DE-BY-TUM DE-384 DE-355 DE-BY-UBR DE-19 DE-BY-UBM DE-11 DE-706 |
| physical | XIV, 292 S. graph. Darst. |
| publishDate | 2006 |
| publishDateSearch | 2006 |
| publishDateSort | 2006 |
| publisher | Springer |
| record_format | marc |
| series2 | École polytechnique |
| spelling | Basdevant, Jean-Louis 1939- Verfasser (DE-588)133559130 aut The quantum mechanics solver how to apply quantum theory to modern physics ; with numerous problems and solutions Jean-Louis Basdevant ; Jean Dalibard 2. ed. Berlin [u.a.] Springer 2006 XIV, 292 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier École polytechnique Quantentheorie Quantum theory Problems, exercises, etc Quantenmechanik (DE-588)4047989-4 gnd rswk-swf Quantenphysik (DE-588)4266670-3 gnd rswk-swf (DE-588)4143389-0 Aufgabensammlung gnd-content Quantenmechanik (DE-588)4047989-4 s Quantenphysik (DE-588)4266670-3 s 1\p DE-604 Dalibard, Jean 1958- Verfasser (DE-588)121510824 aut text/html http://deposit.dnb.de/cgi-bin/dokserv?id=2669232&prov=M&dok_var=1&dok_ext=htm Inhaltstext HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014569261&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Basdevant, Jean-Louis 1939- Dalibard, Jean 1958- The quantum mechanics solver how to apply quantum theory to modern physics ; with numerous problems and solutions Quantentheorie Quantum theory Problems, exercises, etc Quantenmechanik (DE-588)4047989-4 gnd Quantenphysik (DE-588)4266670-3 gnd |
| subject_GND | (DE-588)4047989-4 (DE-588)4266670-3 (DE-588)4143389-0 |
| title | The quantum mechanics solver how to apply quantum theory to modern physics ; with numerous problems and solutions |
| title_auth | The quantum mechanics solver how to apply quantum theory to modern physics ; with numerous problems and solutions |
| title_exact_search | The quantum mechanics solver how to apply quantum theory to modern physics ; with numerous problems and solutions |
| title_exact_search_txtP | The quantum mechanics solver how to apply quantum theory to modern physics ; with numerous problems and solutions |
| title_full | The quantum mechanics solver how to apply quantum theory to modern physics ; with numerous problems and solutions Jean-Louis Basdevant ; Jean Dalibard |
| title_fullStr | The quantum mechanics solver how to apply quantum theory to modern physics ; with numerous problems and solutions Jean-Louis Basdevant ; Jean Dalibard |
| title_full_unstemmed | The quantum mechanics solver how to apply quantum theory to modern physics ; with numerous problems and solutions Jean-Louis Basdevant ; Jean Dalibard |
| title_short | The quantum mechanics solver |
| title_sort | the quantum mechanics solver how to apply quantum theory to modern physics with numerous problems and solutions |
| title_sub | how to apply quantum theory to modern physics ; with numerous problems and solutions |
| topic | Quantentheorie Quantum theory Problems, exercises, etc Quantenmechanik (DE-588)4047989-4 gnd Quantenphysik (DE-588)4266670-3 gnd |
| topic_facet | Quantentheorie Quantum theory Problems, exercises, etc Quantenmechanik Quantenphysik Aufgabensammlung |
| url | http://deposit.dnb.de/cgi-bin/dokserv?id=2669232&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014569261&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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