Quantum Mechanics for Nanostructures
by Vladimir V. Mitin , Dmitry I. Sementsov , Nizami Z. Vagidov-
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Summary
Author Biography
Table of Contents
| Preface | p. ix |
| List of notation | p. xiii |
| The nanoworld and quantum physics | p. 1 |
| A review of milestones in nanoscience and nanotechnology | p. 1 |
| Nanostructures and quantum physics | p. 4 |
| Layered nanostructures and superlattices | p. 8 |
| Nanoparticles and nanoclusters | p. 10 |
| Carbon-based nanomaterials | p. 14 |
| Wave-particle duality and its manifestation in radiation and particle behavior | p. 19 |
| Blackbody radiation and photon gas | p. 19 |
| The quantum character of the interaction of radiation with matter | p. 31 |
| Wave properties of particles | p. 39 |
| The uncertainty relations | p. 47 |
| The world of the nanoscale and the wavefunction | p. 52 |
| The Schrödinger equation | p. 56 |
| Summary | p. 63 |
| Problems | p. 63 |
| Layered nanostructures as the simplest systems to study electron behavior in a one-dimensional potential | p. 65 |
| The motion of a free electron in vacuum | p. 66 |
| An electron in a potential well with infinite barriers | p. 69 |
| An electron in a potential well with finite barriers | p. 75 |
| Propagation of an electron above the potential well | p. 84 |
| Tunneling: propagation of an electron in the region of a potential barrier | p. 89 |
| Summary | p. 101 |
| Problems | p. 101 |
| Additional examples of quantized motion | p. 105 |
| An electron in a rectangular potential well (quantum box) | p. 105 |
| An electron in a spherically-symmetric potential well | p. 109 |
| Quantum harmonic oscillators | p. 115 |
| Phonons | p. 126 |
| Summary | p. 133 |
| Problems | p. 134 |
| Approximate methods of finding quantum states | p. 136 |
| Stationary perturbation theory for a system with non-degenerate states | p. 136 |
| Stationary perturbation theory for a system with degenerate states | p. 141 |
| Non-stationary perturbation theory | p. 142 |
| The quasiclassical approximation | p. 148 |
| Summary | p. 151 |
| Problems | p. 152 |
| Quantum states in atoms and molecules | p. 155 |
| The hydrogen atom | p. 155 |
| The emission spectrum of the hydrogen atom | p. 166 |
| The spin of an electron | p. 169 |
| Many-electron atoms | p. 173 |
| The wavefunction of a system of identical particles | p. 181 |
| The hydrogen molecule | p. 184 |
| Summary | p. 190 |
| Problems | p. 191 |
| Quantization in nanostructures | p. 193 |
| The number and density of quantum states | p. 193 |
| Dimensional quantization and low-dimensional structures | p. 199 |
| Quantum states of an electron in low-dimensional structures | p. 204 |
| The number of states and density of states for nanostructures | p. 210 |
| Double-quantum-dot structures (artificial molecules) | p. 218 |
| An electron in a periodic one-dimensional potential | p. 229 |
| A one-dimensional superlattice of quantum dots | p. 241 |
| A three-dimensional superlattice of quantum dots | p. 250 |
| Summary | p. 254 |
| Problems | p. 255 |
| Nanostructures and their applications | p. 258 |
| Methods of fabrication of nanostructures | p. 258 |
| Tools for characterization with nanoscale resolution | p. 269 |
| Selected examples of nanodevices and systems | p. 282 |
| Classical dynamics of particles and waves | p. 310 |
| Classical dynamics of particles | p. 311 |
| Oscillatory motion of a particle | p. 321 |
| Summary | p. 334 |
| Problems | p. 335 |
| Electromagnetic fields and waves | p. 338 |
| Equations of an electromagnetic field | p. 338 |
| Electromagnetic waves | p. 345 |
| Reflection of a plane wave from the interface between two media | p. 353 |
| Light and its wave properties | p. 362 |
| Summary | p. 374 |
| Problems | p. 375 |
| Crystals as atomic lattices | p. 378 |
| Crystalline structures | p. 379 |
| The nature of attraction and repulsion forces | p. 385 |
| Degenerate electron gas | p. 392 |
| Waves in a crystalline lattice and normal coordinates | p. 396 |
| The energy spectrum of an electron in a crystal | p. 400 |
| Electrons in semiconductors | p. 411 |
| Summary | p. 420 |
| Problems | p. 421 |
| Tables of units | p. 423 |
| Index | p. 427 |
| Table of Contents provided by Ingram. All Rights Reserved. |
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