Excitons in low dimensional semiconductors: theory, numerical methods, applications
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2004
|
| Schriftenreihe: | Springer series in solid state sciences
141 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XI, 294 S. graph. Darst. |
| ISBN: | 3540202404 |
Internformat
MARC
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| 245 | 1 | 0 | |a Excitons in low dimensional semiconductors |b theory, numerical methods, applications |c Stephan Glutsch |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2004 | |
| 300 | |a XI, 294 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a Springer series in solid state sciences |v 141 | |
| 650 | 4 | |a Excitons | |
| 650 | 7 | |a Física do estado sólido |2 larpcal | |
| 650 | 4 | |a Semiconducteurs de basse dimensionnalité | |
| 650 | 4 | |a Exciton theory | |
| 650 | 4 | |a Low-dimensional semiconductors | |
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| 650 | 0 | 7 | |a Exziton |0 (DE-588)4016091-9 |2 gnd |9 rswk-swf |
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Datensatz im Suchindex
| _version_ | 1804130376299315200 |
|---|---|
| adam_text | Contents
1 Optical Transitions in Semiconductors 1
1.1 Effective Mass Theory 2
1.1.1 Electron in a Periodic Potential 3
1.1.2 fc • p Perturbation Theory 7
1.1.3 Low Dimensional Structures 13
1.2 Electron Light Interaction 17
1.2.1 Transition Matrix Elements 18
1.2.2 The Optical Density of States 20
1.2.3 Examples 23
1.3 Excitons 29
1.3.1 The Semiconductor Bloch Equations 31
1.3.2 The Elliott Formula 35
1.3.3 Examples 39
1.4 Summary and Conclusions 44
2 Numerical Calculation 47
2.1 Preliminaries 48
2.1.1 Formulation of the Problem 49
2.1.2 Overview 54
2.2 Approximation in Space 60
2.2.1 Orthonormal Base Functions 61
2.2.2 Non Orthonormal Base Functions 69
2.2.3 Finite Differences 76
2.3 Solution of the Initial Value Problem 83
2.3.1 The Time Propagation Scheme 84
2.3.2 Two Examples 89
2.3.3 Absorbing Boundary Conditions 93
2.4 Summary and Conclusions 99
3 Fano Resonances 101
3.1 The Fano Model 102
3.1.1 One Resonance and One Continuum 103
3.1.2 The General Case 107
3.2 Fano Resonances as a General Feature 114
3.2.1 The Channel Picture 114
X Contents
3.2.2 The Subband Picture 119
3.3 Examples 122
3.3.1 Overview 122
3.3.2 Bulk Semiconductor in a Magnetic Field 126
3.3.3 Quantum Well 136
3.4 Summary and Conclusions 142
4 Zener Breakdown in Super lattices 145
4.1 Bloch Electron in One Dimension 149
4.1.1 General Properties 150
4.1.2 Tightly Bound and Nearly Free Electrons 151
4.1.3 Two Samples 154
4.2 Bloch Electron in an Electric Field 158
4.2.1 Discrete Model and Tight Binding Approximation .... 158
4.2.2 Kane Functions 162
4.2.3 Breakdown of Wannier Stark Ladders 169
4.3 The Optical Spectrum 172
4.3.1 Optical Density of States 173
4.3.2 Optical Absorption 181
4.3.3 Optical Absorption in a Perpendicular Magnetic Field 188
4.4 The Tunneling Rate 191
4.4.1 Semiclassical Approach 192
4.4.2 Perturbation Theory 196
4.4.3 Discussion 203
4.5 Summary and Conclusions 206
A Mathematical Supplement 209
A.I Basic Definitions and Relations 209
A.2 Special Functions of Mathematical Physics 215
A.3 Miscellaneous Relations 217
B Physical Supplement 223
B.I Physical Constants and Material Parameters 223
B.2 Dimensionless Quantities 225
B.3 Crystal Symmetry 227
C Essentials of Quantum Mechanics 231
C.I The Quantum Mechanical Eigenvalue Problem 231
C.I.I The Spectrum of Schrodinger Operators 231
C.1.2 Selected Eigenvalue Problems 234
C.2 Angular Momentum in Quantum Mechanics 244
C.2.1 The Eigenvalue Problem 245
C.2.2 Orthogonal Transformations 247
C.2.3 Addition of Angular Momenta 248
C.2.4 Time Reversal 249
Contents XI
C.3 Perturbation Theory 250
C.3.1 Degenerate Time Independent Perturbation Theory... 250
C.3.2 Time Dependent Perturbation Theory 251
D Computer Programs 255
D.I Cartesian Coordinates 255
D.2 Polar Coordinates 260
D.3 Time Reversal Symmetry 264
D.4 Absorbing Boundary Conditions 265
D.5 Cylindrical Coordinates 268
References 273
Index 289
|
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| id | DE-604.BV017624403 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T19:20:03Z |
| institution | BVB |
| isbn | 3540202404 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010601657 |
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| owner_facet | DE-29T DE-703 DE-355 DE-BY-UBR DE-1043 DE-634 DE-83 DE-11 |
| physical | XI, 294 S. graph. Darst. |
| publishDate | 2004 |
| publishDateSearch | 2004 |
| publishDateSort | 2004 |
| publisher | Springer |
| record_format | marc |
| series | Springer series in solid state sciences |
| series2 | Springer series in solid state sciences |
| spelling | Glutsch, Stephan 1964- Verfasser (DE-588)124993265 aut Excitons in low dimensional semiconductors theory, numerical methods, applications Stephan Glutsch Berlin [u.a.] Springer 2004 XI, 294 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Springer series in solid state sciences 141 Excitons Física do estado sólido larpcal Semiconducteurs de basse dimensionnalité Exciton theory Low-dimensional semiconductors Niederdimensionaler Halbleiter (DE-588)4482656-4 gnd rswk-swf Optische Eigenschaft (DE-588)4123887-4 gnd rswk-swf Exziton (DE-588)4016091-9 gnd rswk-swf Niederdimensionaler Halbleiter (DE-588)4482656-4 s Optische Eigenschaft (DE-588)4123887-4 s Exziton (DE-588)4016091-9 s DE-604 Springer series in solid state sciences 141 (DE-604)BV000016582 141 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010601657&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Glutsch, Stephan 1964- Excitons in low dimensional semiconductors theory, numerical methods, applications Springer series in solid state sciences Excitons Física do estado sólido larpcal Semiconducteurs de basse dimensionnalité Exciton theory Low-dimensional semiconductors Niederdimensionaler Halbleiter (DE-588)4482656-4 gnd Optische Eigenschaft (DE-588)4123887-4 gnd Exziton (DE-588)4016091-9 gnd |
| subject_GND | (DE-588)4482656-4 (DE-588)4123887-4 (DE-588)4016091-9 |
| title | Excitons in low dimensional semiconductors theory, numerical methods, applications |
| title_auth | Excitons in low dimensional semiconductors theory, numerical methods, applications |
| title_exact_search | Excitons in low dimensional semiconductors theory, numerical methods, applications |
| title_full | Excitons in low dimensional semiconductors theory, numerical methods, applications Stephan Glutsch |
| title_fullStr | Excitons in low dimensional semiconductors theory, numerical methods, applications Stephan Glutsch |
| title_full_unstemmed | Excitons in low dimensional semiconductors theory, numerical methods, applications Stephan Glutsch |
| title_short | Excitons in low dimensional semiconductors |
| title_sort | excitons in low dimensional semiconductors theory numerical methods applications |
| title_sub | theory, numerical methods, applications |
| topic | Excitons Física do estado sólido larpcal Semiconducteurs de basse dimensionnalité Exciton theory Low-dimensional semiconductors Niederdimensionaler Halbleiter (DE-588)4482656-4 gnd Optische Eigenschaft (DE-588)4123887-4 gnd Exziton (DE-588)4016091-9 gnd |
| topic_facet | Excitons Física do estado sólido Semiconducteurs de basse dimensionnalité Exciton theory Low-dimensional semiconductors Niederdimensionaler Halbleiter Optische Eigenschaft Exziton |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010601657&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000016582 |
| work_keys_str_mv | AT glutschstephan excitonsinlowdimensionalsemiconductorstheorynumericalmethodsapplications |