Introductory quantum mechanics for semiconductor nanotechnology:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Weinheim
Wiley-VCH
2010
|
| Schlagworte: | |
| Online-Zugang: | Inhaltstext Inhaltsverzeichnis |
| Beschreibung: | XV, 447 S., [2] Bl. Ill., graph. Darst. |
| ISBN: | 9783527409754 |
Internformat
MARC
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| 245 | 1 | 0 | |a Introductory quantum mechanics for semiconductor nanotechnology |c Dae Mann Kim |
| 264 | 1 | |a Weinheim |b Wiley-VCH |c 2010 | |
| 300 | |a XV, 447 S., [2] Bl. |b Ill., graph. Darst. | ||
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Datensatz im Suchindex
| _version_ | 1805093280634896384 |
|---|---|
| adam_text |
VII
Contents
Preface
XIII
1 Brief Review
of Classical Theories
1
1.1
Harmonic Oscillator
1
1.1.1
The Hamiltonian
3
1.2
Boltzmann Transport Equation
4
1.2.1
Equilibrium Distribution Function and Equipartition Theorem
5
1.2.2
Nonequilibrium Distribution Function and Relaxation Approach
7
1.2.3
Mobility and Conductivity
S
1.3
Maxwell's Equations
10
1.3.1
Wave Equation
11
1.3.2
Plane Waves and Wave Packets
12
1.3.3
Interference Effects
16
1.4
Summary of Classical Theories
17
1.5
Problems
18
Suggested Reading
19
2
Milestone Discoveries and Old Quantum Theory
21
2.1
Blackbody
Radiation and Quantum of Energy
21
2.2
Specific Heat of Solids
25
2.3
Photoelectric Effect
26
2.4
Compton Scattering
28
2.5
Duality of Matter
31
2.6
Bohr's
Н
-Atom
Theory
32
2.7
Problems
37
Suggested Reading
38
3
Sch röd inger
Equation and Operator Algebra
39
3.1
Schrödinger
Equation
39
3.1.1
Energy Eigenequation
41
3.2
Momentum Eigenfunction and Fourier Series
42
Vili
Contents
3.3
Hermitían
Operator
and Bra-Ket Notations
44
3.4
The Orthonogonality and Completeness of Eigenfunctions
44
3.5
Basic Postulates of Quantum Mechanics
46
3.6
Commutation Relation
47
3.7
Conjugate Variables and Uncertainty Relation
49
3.8
Operator Equation of Motion and
Ehrenfest
Theorem
52
3.9
Problems
53
Suggested Reading
55
4
Particle in Potential Well
57
4.1
Infinite Square Well Potential
57
4.2
Particle in
3D
Box
60
4.3
Density of States: ID, 2D, and
3D 61
4.4
Particle in Quantum Well
64
4.5
Particle in Delta Function Potential Well
69
4.6
Quantum Well and Wire
73
4.7
Problems
76
Suggested Reading
78
5
Scattering of a Particle at
1
D
Potentials
79
5.1
Scattering at Step Potential
79
5.1.1
The Probability Current Density
81
5.1.2
Reflection and Transmission Coefficients
81
5.2
Scattering at Quantum Well
84
5.2.1
Resonant Transmission
86
5.3
Problems
87
Suggested Reading
89
6
Tunneling and Its Applications
91
6.1
Tunneling Across Square Potential Barrier
91
6.2
Fowler-Nordheim and Direct Tunneling
94
6.3
Resonant Tunneling
97
6.4
The Applications of Tunneling
101
6.5
Problems
107
Suggested Reading
209
7
Periodic Potential and Energy Bands 111
7.1
One-Dimensional Crystal and Kronig-Penny Model 111
7.1.1
The
Biodi
Wavefunction 111
7.1.2
Bloch Wavefunction in K-P Potential
113
7.2
Л
-fe
Dispersion and Energy Bands
116
7.2.1
The Dispersion Curves and Electron Motion
119
7.3
Energy Bands and Resonant Tunneling
120
7.4
Problems
122
Suggested Reading
324
Contents
IX
8
The Harmonic Oscillator
125
8.1
Energy Eigenequation
125
8.1.1
Eigenfunction and Energy Quantization
127
8.1.2
The Ground-State and Zero-Point Energy
129
8.2
The Properties of Eigenfimctions
129
8.2.1
Hermite Polynomials and Recurrence Relations
129
8.2.2
The Orthogonality of Energy Eigenfunctions
131
8.2.3
Probability Densities and Correspondence Principle
132
8.2.4
The Uncertainty Relation
133
8.2.5
Useful Matrix Elements
134
8.2.6
Oscillator in a Linearly Superposed State
135
8.3
The Operator Treatment
136
8.4
Problems
139
Suggested Reading
141
9
Angular Momentum
143
9.1
Angular Momentum Operators
143
9.2
Eigenfunctions of lz and
Ρ
and Spherical Harmonics
246
9.3
Problems
151
Suggested Reading
153
10
Hydrogen Atom: The
Schrődinger
Treatment
155
10.1
Two-Body Central Force Problem
155
10.2
The Hydrogenic Atom
158
10.3
The Atomic Orbital
164
10.4
Virial Theorem and
Doppler
Shift
169
10.5
Problems
172
Suggested Reading
175
11
System of Identical Particles and Many-Electron Atoms
177
11.1
Two-Electron System
177
11.2
Two Spin
1/2
System
179
11.3
Helium Atom
182
11.3.1
The Ground State of He
184
11.3.2
The First Excited State of He
187
11.4
The Periodic Table and Structures of Atoms
190
11.5
Problems
192
Suggested Reading
194
12
Molecules and Chemical Bonds
295
12.1
Ionized Hydrogen Molecule
195
12.2
Hydrogen Molecule
201
12.3
Ionic Bond and van
der Waals
Attraction
206
12.3.1
The Ionic Bond
206
12.3.2
van
der Waals
Attraction
208
Contents
12.4 Problems 221
Suggested Reading
213
13
The Perturbation Theory
215
13.1
Time-Independent Perturbation Theory in
Nondegenerate
System
215
13.1.1
The First-Order Perturbation
217
13.1.2
The Second-Order Perturbation
218
13.1.3
The Stark Effect in Harmonic Oscillator
219
13.2
Time-Dependent Perturbation Theory
222
13.2.1
The Formulation
222
13.2.2
Harmonic Perturbation and Fermi's Golden Rule
224
13.3
Problems
227
Suggested Reading
228
14
Atom-Field Interaction
229
14.1
Field Quantization
229
14.1.1
One-Dimensional Resonator and Its Eigenmodes
230
14.1.2
The
Blackbody
Radiation Revisited
235
14.2
Atom-Field Interaction
237
14.2.1
Stimulated and Spontaneous Transitions
238
14.3
Driven, Damped Two-Level Atom
242
14.4
Problems
248
Suggested Reading
250
15
Interaction Between EM Waves and Optical Media
251
15.1
Attenuation and Dispersion of Waves
25
í
15.2
Density Matrix and Ensemble Averaging
254
15.3
Laser Device
260
15.3.1
Population Inversion
262
15.4
Problems
266
Suggested Reading
268
16
Quantum Statistics
269
16.1
General Background and Three Kinds of Particles
269
16.2
Statistics for Distinguishable Particles
271
16.2.1
Boltzmann Distribution Function
272
16.3
Statistics for
Fermions
and Fermi-Diarc Distribution Function
275
16.3.1 3D
Electrons
277
16.3.2
2D Electrons
279
16.4
Statistics for Bosons and Bose-Einstein Distribution Function
280
16.5
Problems
283
Suggested Reading
285
17
Semiconductor Statistics
287
17.1
Carrier Densities in Intrinsic Semiconductors
287
Contents XI
17.1.1
Electron Concentration
289
17.1.2
Hole Concentration
291
17.2
Carrier Densities in Extrinsic Semiconductors
293
17.2.1
Donor and Acceptor Statistics
295
17.3
Fermi Level in Extrinsic Semiconductors
297
ПА
Problems
300
Suggested Reading
301
18
Charge Transport in Semiconductors
303
18.1
Drift and Diffusion Currents
303
18.2
Transport Coefficients
305
18.3
Equilibrium and Nonequilibrium
310
18.3.1
Equilibrium and Fermi Level
310
18.3.2
Nonequilibrium and Quasi-Fermi Level
312
18.4
Generation and Recombination Currents
314
18.4.1
Band-to-Band Excitation or Recombination
314
18.4.2
Trap-Assisted Recombination and Generation
315
18.5
Problems
321
Suggested Reading
323
19
p
-η
Junction Diode
325
19.1
The Junction Interface Physics in Equilibrium
325
19.1.1
Junction in Equilibrium Contact
326
19.2
The Junction Interface Under Bias
330
19.3
The Diode I-V
334
19.3.1
Ideal I-V Behavior
335
19.3.2
Nonideali-V Behavior
337
19.4
Applications of
p
-η
Junction Diodes
341
19.4.1
Optical Absorption in Semiconductors
341
19.4.2
Photodiodes
344
19.4.3
Photovoltaic Effect and Solar Cell
346
19.4.4
LD and LED
349
19.4.5
Tunnel Diodes
354
19.5
Problems
356
Suggested Reading
357
20
The Bipolar Junction Transistor: Device Physics and Technology
359
20.1
Bipolar Junction Transistor Overview
359
20.1.1
npn Transistor
361
20.2
The Physics of Transistor Action
363
20.3
Ebers-Moll Equations
368
20.4
Base Transit Time and Charge Control Model
370
20.5
Problems
373
Suggested Reading
374
XII
Contents
21
Metal Oxide Silicon
Field Effect Transistors I: Overview of Device
Behavior and Applications
375
21.1
MOSFET: Overview
375
21.1.1
NMOS
376
21.2
Charge Control and Metal Oxide Silicon System
379
21.2.1
The Channel Inversion: Classical Theory
379
21.2.2
Quantum Description of Channel Inversion
387
21.3
NMOS I-V
390
21.3.1
On Current and Variable Depletion Approximation
390
21.3.2
The Subthreshold Current
393
21.4
Applications of Metal Oxide Silicon Field Effect Transistor
395
21A.Í
Dynamic Random Access Memory and Electrically Erasable
and Programmable Read Only Memory Cells
395
21.4.2
Nonvolatile Electrically Erasable and Programmable Read Only
Memory Cell
396
21.4.3
CMOS Image Sensors
401
21.5
Problems
402
Suggested Reading
404
22
Metal Oxide Silicon Field Effect Transistors II: Device Scaling
and Schottky Contact
405
22.1
Device Scaling: Physical Issues and limitations
405
22.1.1
Constant Field Scaling
405
22.2
Metal—Semiconductor Contacts
412
22.2.1
The Schottky Contact
412
22.3
Metal-Semiconductor I-V Behavior
417
22.3.1
Schottky Diode I-V
417
22.3.2
Ohmic Contact
423
22.4
Problems
427
Suggested Reading
428
Index
429 |
| any_adam_object | 1 |
| author | Kim, Tae-man 194X- |
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| dewey-ones | 530 - Physics |
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| dewey-tens | 530 - Physics |
| discipline | Maschinenbau / Maschinenwesen Physik |
| format | Book |
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| spelling | Kim, Tae-man 194X- Verfasser (DE-588)139973117 aut Introductory quantum mechanics for semiconductor nanotechnology Dae Mann Kim Weinheim Wiley-VCH 2010 XV, 447 S., [2] Bl. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Halbleiter (DE-588)4022993-2 gnd rswk-swf Nanostruktur (DE-588)4204530-7 gnd rswk-swf Quantenmechanisches System (DE-588)4300046-0 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Halbleiter (DE-588)4022993-2 s Nanostruktur (DE-588)4204530-7 s Quantenmechanisches System (DE-588)4300046-0 s DE-604 text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3357035&prov=M&dok_var=1&dok_ext=htm Inhaltstext Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018719395&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kim, Tae-man 194X- Introductory quantum mechanics for semiconductor nanotechnology Halbleiter (DE-588)4022993-2 gnd Nanostruktur (DE-588)4204530-7 gnd Quantenmechanisches System (DE-588)4300046-0 gnd |
| subject_GND | (DE-588)4022993-2 (DE-588)4204530-7 (DE-588)4300046-0 (DE-588)4123623-3 |
| title | Introductory quantum mechanics for semiconductor nanotechnology |
| title_auth | Introductory quantum mechanics for semiconductor nanotechnology |
| title_exact_search | Introductory quantum mechanics for semiconductor nanotechnology |
| title_full | Introductory quantum mechanics for semiconductor nanotechnology Dae Mann Kim |
| title_fullStr | Introductory quantum mechanics for semiconductor nanotechnology Dae Mann Kim |
| title_full_unstemmed | Introductory quantum mechanics for semiconductor nanotechnology Dae Mann Kim |
| title_short | Introductory quantum mechanics for semiconductor nanotechnology |
| title_sort | introductory quantum mechanics for semiconductor nanotechnology |
| topic | Halbleiter (DE-588)4022993-2 gnd Nanostruktur (DE-588)4204530-7 gnd Quantenmechanisches System (DE-588)4300046-0 gnd |
| topic_facet | Halbleiter Nanostruktur Quantenmechanisches System Lehrbuch |
| url | http://deposit.dnb.de/cgi-bin/dokserv?id=3357035&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=018719395&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT kimtaeman introductoryquantummechanicsforsemiconductornanotechnology |