Quantum mechanics for nanostructures:
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge [u.a.]
Cambridge Univ. Press
2010
|
| Ausgabe: | 1. publ. |
| Schlagworte: | |
| Online-Zugang: | Klappentext Inhaltsverzeichnis |
| Beschreibung: | XV, 431 S. Ill., graph. Darst. |
| ISBN: | 9780521763660 |
Internformat
MARC
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| 100 | 1 | |a Mitin, Vladimir V. |d 1946- |e Verfasser |0 (DE-588)137010060 |4 aut | |
| 245 | 1 | 0 | |a Quantum mechanics for nanostructures |c Vladimir V. Mitin, Dmitry I. Sementsov, Nizami Z. Vagidov |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Cambridge [u.a.] |b Cambridge Univ. Press |c 2010 | |
| 300 | |a XV, 431 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 0 | |a Quantum theory | |
| 650 | 0 | |a Nanostructured materials | |
| 650 | 4 | |a Quantentheorie | |
| 650 | 4 | |a Nanostructured materials | |
| 650 | 4 | |a Quantum theory | |
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| 689 | 0 | 1 | |a Quantenmechanik |0 (DE-588)4047989-4 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Semencov, Dmitrij I. |e Verfasser |0 (DE-588)141733357 |4 aut | |
| 700 | 1 | |a Vagidov, Nizami Z. |e Verfasser |0 (DE-588)141495162 |4 aut | |
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Datensatz im Suchindex
| _version_ | 1804142801470881792 |
|---|---|
| adam_text | Contents
Preface
page
ix
List of notation
xiii
1
The nanoworld and quantum physics
1
1.1
A review of milestones in nanoscience and nanotechnology
1
1.2
Nanostructures and quantum physics
4
1.3
Layered nanostructures and superlattices
8
1.4
Nanoparticles and nanoclusters
10
1.5
Carbon-based nanomaterials
14
2
Wave-particle duality and its manifestation in radiation
and particle behavior
19
2.1
Blackbody
radiation and photon gas
19
2.2
The quantum character of the interaction of radiation
with matter
31
2.3
Wave properties of panicles
39
2.4
The uncertainty relations
47
2.5
The world of the nanoscale and the wavefunction
52
2.6
The
Schrödinger
equation
56
2.7
Summary
63
2.8
Problems
63
3
Layered nanostructures as the simplest systems to study
electron behavior in a one-dimensional potential
65
3.1
The motion of a free electron in vacuum
66
3.2
An electron in a potential well with infinite barriers
69
3.3
An electron in a potential well with finite barriers
75
3.4
Propagation of an electron above the potential well
84
3.5
Tunneling: propagation of an electron in the region
of a potential barrier
89
3.6
Summary
101
3.7
Problems
101
vi
Contents
4
Additional examples of quantized motion
105
4.1
An electron in a rectangular potential well (quantum box)
105
4.2
An electron in a spherically-symmetric potential well
109
4.3
Quantum harmonic oscillators
115
4.4
Phonons
126
4.5
Summary
133
4.6
Problems
134
5
Approximate methods of finding quantum states
136
5.1
Stationary perturbation theory for a system with
non-degenerate states
136
5.2
Stationary perturbation theory for a system with
degenerate states
141
5.3
Non-
stationary perturbation theory
142
5.4
The quasiclassical approximation
148
5.5
Summary
151
5.6
Problems
152
6
Quantum states in atoms and molecules
155
6.1
The hydrogen atom
155
6.2
The emission spectrum of the hydrogen atom
166
6.3
The spin of an electron
169
6.4
Many-electron atoms
173
6.5
The wavefunction of a system of identical particles
181
6.6
The hydrogen molecule
184
6.7
Summary
190
6.8
Problems
191
7
Quantization in nanostructures
193
7.1
The number and density of quantum states
193
7.2
Dimensional quantization and low-dimensional structures
199
7.3
Quantum states of an electron in low-dimensional structures
204
7.4
The number of states and density of states for nanostructures
210
7.5
Double-quantum-dot structures (artificial molecules)
218
7.6
An electron in a periodic one-dimensional potential
229
7.7
A one-dimensional superlattice of quantum dots
241
7.8
A three-dimensional superlattice of quantum dots
250
7.9
Summary
254
7.10
Problems
255
8
Nanostructures and their applications
258
8.1
Methods of fabrication of nanostructures
258
Contents
vii
8.2 Tools
for characterization with nanoscale resolution
269
8.3
Selected examples of nanodevices and systems
282
Appendix A Classical dynamics of particles and waves
310
A.
1
Classical dynamics of particles
311
A.2 Oscillatory motion of a particle
321
A.3 Summary
334
A.4 Problems
335
Appendix
В
Electromagnetic fields and waves
338
B.I Equations of an electromagnetic field
338
B.2 Electromagnetic waves
345
B.3 Reflection of a plane wave from the interface between two media
353
B.4 Light and its wave properties
362
B.5 Summary
374
B.6 Problems
375
Appendix
С
Crystals as atomic lattices
378
C.I Crystalline structures
379
C.2 The nature of attraction and repulsion forces
385
C.3 Degenerate electron gas
392
C.4 Waves in a crystalline lattice and normal coordinates
396
C.5 The energy spectrum of an electron
ina
crystal
400
C.6 Electrons in semiconductors
411
C.7 Summary
420
C.8 Problems
421
Appendix
D
Tables of units
423
Index
427
The properties of new nanoscale materials, their fabrication and
applications, as well as the operational principles of nanodevices and
systems, are solely determined by quantum-mechanical laws and principles.
This textbook introduces engineers to quantum mechanics and the world
of nanostructures, enabling them to apply the theories to numerous
nanostructure problems.
The book covers the fundamentals of quantum mechanics, including
uncertainty relations, the
schrödinger
equation, perturbation theory, and
tunneling. These are then applied to a quantum dot, the smallest artificial
atom, and compared with the case of hydrogen, the smallest atom in
nature. Nanoscale objects with higher dimensionality, such as quantum
wires and quantum wells, are introduced, as well as nanoscale materials
and nanodevices. Numerous examples throughout the text help students to
understand the material.
VLADIMIR v.
mitin
is
suny
Distinguished Professor at the Department of
Electrical Engineering and Adjunct Professor of Physics at the university at
Buffalo, The state university of New York,
не
is the author of eight textbooks
and monographs and more than
490
professional publications and
presentations.
DMITRY l. SEMENTSOV is Professor of Physics at Ulyanovsk state university,
Russia. He is the author of more than
420
papers in peer-reviewed journals.
niżami
z. VAGIDOV is Research Assistant Professor of Electrical Engineering
at the university at Buffalo, The state university of New York,
не
is the
author of about
90
professional publications in the fields of solid-state
electronics, nanoelectronics, and nanotechnology.
Cover illustration: computer model of the molecular structure of grapheme, a
single
lauer
of graphite, copyright Pasiekcuscience Photo Library.
Cover design by
m j
webb Associates Ltd
|
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| discipline | Chemie / Pharmazie Physik Elektrotechnik / Elektronik / Nachrichtentechnik |
| edition | 1. publ. |
| format | Book |
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| indexdate | 2024-07-09T22:37:32Z |
| institution | BVB |
| isbn | 9780521763660 |
| language | English |
| lccn | 2010000700 |
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| physical | XV, 431 S. Ill., graph. Darst. |
| publishDate | 2010 |
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| publisher | Cambridge Univ. Press |
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| spelling | Mitin, Vladimir V. 1946- Verfasser (DE-588)137010060 aut Quantum mechanics for nanostructures Vladimir V. Mitin, Dmitry I. Sementsov, Nizami Z. Vagidov 1. publ. Cambridge [u.a.] Cambridge Univ. Press 2010 XV, 431 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Quantum theory Nanostructured materials Quantentheorie Quantenmechanik (DE-588)4047989-4 gnd rswk-swf Nanostruktur (DE-588)4204530-7 gnd rswk-swf Nanostruktur (DE-588)4204530-7 s Quantenmechanik (DE-588)4047989-4 s DE-604 Semencov, Dmitrij I. Verfasser (DE-588)141733357 aut Vagidov, Nizami Z. Verfasser (DE-588)141495162 aut Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020211702&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Klappentext Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020211702&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Mitin, Vladimir V. 1946- Semencov, Dmitrij I. Vagidov, Nizami Z. Quantum mechanics for nanostructures Quantum theory Nanostructured materials Quantentheorie Quantenmechanik (DE-588)4047989-4 gnd Nanostruktur (DE-588)4204530-7 gnd |
| subject_GND | (DE-588)4047989-4 (DE-588)4204530-7 |
| title | Quantum mechanics for nanostructures |
| title_auth | Quantum mechanics for nanostructures |
| title_exact_search | Quantum mechanics for nanostructures |
| title_full | Quantum mechanics for nanostructures Vladimir V. Mitin, Dmitry I. Sementsov, Nizami Z. Vagidov |
| title_fullStr | Quantum mechanics for nanostructures Vladimir V. Mitin, Dmitry I. Sementsov, Nizami Z. Vagidov |
| title_full_unstemmed | Quantum mechanics for nanostructures Vladimir V. Mitin, Dmitry I. Sementsov, Nizami Z. Vagidov |
| title_short | Quantum mechanics for nanostructures |
| title_sort | quantum mechanics for nanostructures |
| topic | Quantum theory Nanostructured materials Quantentheorie Quantenmechanik (DE-588)4047989-4 gnd Nanostruktur (DE-588)4204530-7 gnd |
| topic_facet | Quantum theory Nanostructured materials Quantentheorie Quantenmechanik Nanostruktur |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020211702&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020211702&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
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