| Description |
1 online resource (xii, 401 pages) |
| Series |
Mesoscopic physics and nanotechnology |
|
Mesoscopic physics and nanotechnology.
|
| Contents |
1 Introduction; 1.1 Atomic nuclei and microwave cavities; 1.2 Wave localization and fluctuations; 1.3 Mesoscopic conductors: time- and length-scales; 1.3.1 Ballistic mesoscopic cavities; 1.3.2 Diffusive mesoscopic conductors; 1.3.3 Statistical approach to mesoscopic fluctuations; 1.4 Organization of the book; 2 Introduction to the quantum mechanical time-independent scattering theory I: one-dimensional scattering; 2.1 Potential scattering in infinite one-dimensional space; 2.1.1 The Lippmann-Schwinger equation; the free Green function |
|
The reflection and the transmission amplitudes2.1.2 The T matrix; 2.1.3 The full Green function; 2.1.4 The S matrix; 2.1.5 The transfer or M matrix; 2.1.6 Combining the S matrices for two scatterers in series; 2.1.7 Transformation of the scattering and the transfer matrices under a translation; 2.1.8 An exactly soluble example; 2.1.9 Scattering by a step potential; 2.1.10 Combination of reflection and transmission amplitudes for a one-dimensional disordered conductor: invariant imbedding equations; 2.2 Potential scattering in semi-infinite one-dimensional space: resonance theory |
|
2.2.1 A soluble model for the study of resonances2.2.2 Behavior of the phase shift; 2.2.3 Behavior of the wave function; 2.2.4 Analytical study of the internal amplitude of the wave function near resonance; 2.2.5 The analytic structure of S(k) in the complex-momentum plane; 2.2.6 Analytic structure of S(E) in the complex-energy plane; 2.2.7 The R-matrix theory of scattering; 2.2.8 The 'motion' of the S matrix as a function of energy; 3 Introduction to the quantum mechanical time-independent scattering theory II: scattering inside waveguides and cavities |
|
3.1 Quasi-one-dimensional scattering theory3.1.1 The reflection and transmission amplitudes; the Lippmann-Schwinger coupled equations; 3.1.2 The S matrix; 3.1.3 The transfer matrix; 3.1.4 Combining the S matrices for two scatterers in series; 3.1.5 Transformation of the scattering and transfer matrices under a translation; 3.1.6 Exactly soluble example for the two-channel problem; 3.1.7 Extension of the S and M matrices to include open and closed channels; 3.2 Scattering by a cavity with an arbitrary number of waveguides; 3.2.1 Statement of the problem; 3.2.2 The S matrix |
|
The reflection and transmission amplitudes3.3 The R-matrix theory of two-dimensional scattering; 4 Linear response theory of quantum electronic transport; 4.1 The system in equilibrium; 4.2 Application of an external electromagnetic field; 4.3 The external field in the scalar potential gauge; 4.3.1 The charge density and the potential profile; 4.3.2 The current density; 4.4 The external field in the vector potential gauge; 4.5 Evaluation of the conductance; 5 The maximum-entropy approach: an information-theoretic viewpoint |
| Summary |
This text presents the statistical theory of wave scattering and quantum transport in complex - chaotic and disordered - systems |
| Bibliography |
Includes bibliographical references (pages 387-393) and index |
| Notes |
English |
| Subject |
Quantum theory.
|
|
Transport theory.
|
|
Scattering (Physics)
|
|
Maximum entropy method.
|
|
Mesoscopic phenomena (Physics)
|
|
Quantum Theory
|
|
SCIENCE -- Physics -- Quantum Theory.
|
|
Maximum entropy method.
|
|
Mesoscopic phenomena (Physics)
|
|
Quantum theory.
|
|
Scattering (Physics)
|
|
Transport theory.
|
| Form |
Electronic book
|
| Author |
Kumar, N. (Narendra), 1940- author.
|
| ISBN |
0198525826 |
|
9780198525820 |
|
9780191523496 |
|
0191523496 |
|
