Concisely and clearly written, this book provides a self-contained introduction to the basic concepts of fractals and demonstrates their use in a range of topics in condensed matter physics and statistical mechanics. The first part outlines different fractal structures observed in condensed matter. The main part of the book is dedicated to the dynamical behaviour of fractal structures, including anomalous and percolating systems. The concept of multifractals is illustrated for the metal-insulator quantum phase transition. The authors emphasize the unified description of these different...
Concisely and clearly written, this book provides a self-contained introduction to the basic concepts of fractals and demonstrates their use in a rang...
The author develops the effective-mass theory of excitons in low-dimensional semiconductors and describes numerical methods for calculating the optical absorption including Coulomb interaction, geometry, and external fields. The theory is applied to Fano resonances in low-dimensional semiconductors and the Zener breakdown in superlattices. Comparing theoretical results with experiments, the book is essentially self-contained; it is a hands-on approach with detailed derivations, worked examples, illustrative figures, and computer programs. The book is clearly structured and will be valuable...
The author develops the effective-mass theory of excitons in low-dimensional semiconductors and describes numerical methods for calculating the opt...
This book is designed to provide graduate students and research beginners with an introductory review of recent developments in the field of microscopic magneto-optics. The field contains the most important subjects in solid state physics, chemical physics, and electronic engineering. Microscopic studies of magneto-optics stem from those of ligand-field spectra of paramagnetic ions in solids and liquids, which are also well known to have brought developments in material research for solid-state lasers. As the introductory chapter of this monograph, Chap. 1 deals with the fundamental...
This book is designed to provide graduate students and research beginners with an introductory review of recent developments in the field of microscop...
In 1970 an investigation into rubber friction, sponsored by a manufacturer of automobile windscreen wipers, was being carried out at the Cavendish Laboratory in Cambridge, England. When a smooth spherical slider of soft rubber was placed in contact with flat glass or perspex, the compliance of the rubber enabled it to conform to any slight roughness of the two surfaces such that perfect contact was obtained. In these circumstances the surfaces were found to adhere: under load the contact area exceeded that predicted by the Hertz theory of elastic contact, a contact area of finite size was...
In 1970 an investigation into rubber friction, sponsored by a manufacturer of automobile windscreen wipers, was being carried out at the Cavendish Lab...
This is a revised version of the first edition published in 1991. At the same time, this is a revised version of the Syokabo edition, which was written in Japanese and published in 1993 as a revised version of the original edition published in 1983. Compared with the first edition, the following revisions have been made: a new chapter on electron-electron interaction has been prepared by a new co-author A. Fujimori. The substances in the previous Chap. 4 have been changed, and La-xSrxMn03 substituted for V 0, which has been exten- 1 2 3 sively reviewed in Reviews of Modern Physics, Vol. 70,...
This is a revised version of the first edition published in 1991. At the same time, this is a revised version of the Syokabo edition, which was writte...
This book deals with a recently developed theoretical method for calculating the optical response of nanoscale or mesoscopic matter. There has been much interest in this type of matter system because it brings out a new feature of solid state physics, viz., the central importance of the quantum mechanical coherence of matter in its transport and optical properties, in contrast to bulk systems. The author has been interested in the optical properies of mesoscopic matter since the mid-1980s, seeking to construct a new theoretical framework beyond the traditional macroscopic optical response...
This book deals with a recently developed theoretical method for calculating the optical response of nanoscale or mesoscopic matter. There has been mu...
Theory of Magnetism is an important subfield of the theory of solids, and has guided a long history of research into the phenomenon of magnetism. This book provides the foundation for further development in this field. Its contents are divided into four parts. In Part I, MagneticIons inCrystals, the electron states of magnetic ions in crystals and the exchange interactions between them are explained. Part II, Magnetism of Spin Systems, treats problems of ferromagnetism and antiferromagnetism shown by exchange-coupled localized spin systems. In Part III,...
Theory of Magnetism is an important subfield of the theory of solids, and has guided a long history of research into the phenomenon of magnetis...
We began planning and writing this book in thc late 1970$ at thc ugge s stion of Manuel Cardona and Helmut Latsch. We also received considerable eo- couragement and stimulation from colleagues. Same said there was a need for instructional material in tbis area while others emphasized thc utility of a research text. We tried to strike a compromise. Thc figures, tables, and rcferences are included to enable researchcrs to obt81o quickly essential information in this area of semiconductor research. For instructoTS and stu- dents, we attempt to cover same basic ideas abaut electronic structure...
We began planning and writing this book in thc late 1970$ at thc ugge s stion of Manuel Cardona and Helmut Latsch. We also received considerable eo- c...
1.1 Why Study Solitons? The last century of physics, which was initiated by Maxwell's completion of the theory of electromagnetism, can, with some justification, be called the era of linear physi cs. ~Jith few excepti ons, the methods of theoreti ca 1 phys- ics have been dominated by linear equations (Maxwell, Schrodinger), linear mathematical objects (vector spaces, in particular Hilbert spaces), and linear methods (Fourier transforms, perturbation theory, linear response theory) . Naturally the importance of nonlinearity, beginning with the Navier-Stokes equations and continuing to...
1.1 Why Study Solitons? The last century of physics, which was initiated by Maxwell's completion of the theory of electromagnetism, can, with some jus...
Nanoscale miniaturization and femtosecond laser-pulse spectroscopy require a quantum mechanical description of the carrier kinetics that goes beyond the conventional Boltzmann theory. On these extremely short length and time scales, the electrons behave as do partially coherent waves. This monograph deals with quantum kinetics for transport in low-dimensional microstructures and for ultra-short laser pulse spectroscopy. The nonequilibrium Green function theory is described and used for the derivation of the quantum kinetic equations. Numerical methods for the solution of the retarded...
Nanoscale miniaturization and femtosecond laser-pulse spectroscopy require a quantum mechanical description of the carrier kinetics that goes beyon...
