The Voronoi diagram of a set of sites is a partition of the plane into regions, one to each site, such that the region of each site contains all points of the plane that are closer to this site than to the other ones. Such partitions are of great importance to computer science and many other fields. The challenge is to compute Voronoi diagrams quickly. The problem is that their structure depends on the notion of distance and the sort of site. In this book the author proposes a unifying approach by introducing abstract Voronoi diagrams. These are based on the concept of bisecting curves, which are required to have some simple properties that are actually possessed by most bisectors of concrete Voronoi diagrams. Abstract Voronoi diagrams can be computed efficiently and there exists a worst-case efficient algorithm of divide-and-conquer type that applies to all abstract Voronoi diagrams satisfying a certain constraint. The author shows that this constraint is fulfilled by the concrete diagrams based on large classes of metrics in the plane.

Quantum Theory of Conducting Matter (Lecture Notes in Computer Science)

Computers & Technology

Fujita, Shigeji

Ito, Kei

Computer Science

Springer

In a complex field, this work is a first. The authors make an important connection between the conduction electrons and the Fermi surface in an elementary manner in the text. No currently available text explains this connection. They do this by deriving Newtonian equations of motion for the Bloch electron and diagonalizing the inverse mass (symmetric) tensor. The authors plan to follow up this book with a second, more advanced book on superconductivity and the Quantum Hall Effect.

Quantum Theory of Conducting Matter: Newtonian Equations of Motion for a Bloch Electron

Introduction to Non-Equilibrium Quantum Statistical Mechanics

Science & Math

Physics

Krieger Pub. Co

Statistical and Thermal Physics, Part I: Probabilities and Statistics, Thermodynamics and Classical Statistical Mechanics

Malabar 1986 1st Krieger. 4to., 529pp., wraps. VG. Part II.

Statistical and Thermal Physics, Part II: Quantum Statistical Mechanics and Simple Applications

In a complex field, this work is a first. The authors make an important connection between the conduction electrons and the Fermi surface in an elementary manner in the text. No currently available text explains this connection. They do this by deriving Newtonian equations of motion for the Bloch electron and diagonalizing the inverse mass (symmetric) tensor. The authors plan to follow up this book with a second, more advanced book on superconductivity and the Quantum Hall Effect.

Major superconducting properties including zero resistance, Meissner effect, sharp phase change, flux quantization, excitation energy gap, Josephson effects are covered and microscopically explained, using quantum statistical mechanical calculations. First treated are the 2D superconductivity and then the quantum Hall effects. Included are exercise-type problems for each section. Readers can grasp the concepts covered in the book by following the worked-through problems. Bibliographies are included in each chapter and a glossary and list of symbols are given in the beginning of the book. The book is based on the materials taught by S. Fujita for several courses in Quantum Theory of Solids, Advanced Topics in Modern Physics, and Quantum Statistical Mechanics.

Quantum Theory of Conducting Matter: Superconductivity

Godoy, Salvador

Going beyond standard mathematical physics textbooks by integrating the mathematics with the associated physical content, this book presents mathematical topics with their applications to physics as well as basic physics topics linked to mathematical techniques. It is aimed at first-year graduate students, it is much more concise and discusses selected topics in full without omitting any steps. It covers the mathematical skills needed throughout common graduate level courses in physics and features around 450 end-of-chapter problems, with solutions available to lecturers from the Wiley website.

Mathematical Physics

Godoy, Salvador V.

Wiley-VCH

Written in a self-contained manner, this textbook allows both advanced students and practicing applied physicists and engineers to learn the relevant aspects from the bottom up. All logical steps are laid out without omitting steps. The book covers electrical transport properties in carbon based materials by dealing with statistical mechanics of carbon nanotubes and graphene - presenting many fresh and sometimes provoking views. Both second quantization and superconductivity are covered and discussed thoroughly. An extensive list of references is given in the end of each chapter, while derivations and proofs of specific equations are discussed in the appendix. The experienced authors have studied the electrical transport in carbon nanotubes and graphene for several years, and have contributed relevantly to the understanding and further development of the field. The content is based on the material taught by one of the authors, Prof Fujita, for courses in quantum theory of solids and quantum statistical mechanics at the University at Buffalo, and some topics have also been taught by Prof. Suzuki in a course on advanced condensed matter physics at the Tokyo University of Science. For graduate students in physics, chemistry, electrical engineering and material sciences, with a knowledge of dynamics, quantum mechanics, electromagnetism and solid-state physics at the senior undergraduate level. Includes a large numbers of exercise-type problems.

Electrical Conduction in Graphene and Nanotubes

Suzuki, Akira

Vch Verlagsgesellschaft Mbh

See the best price to sell, buy, or rent books by Fujita, Shigeji. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Fujita, Shigeji

See the best price to sell, buy, or rent books by Fujita, Shigeji. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Quantum Theory of Conducting Matter (Lecture Notes in Computer Science)

Quantum Theory of Conducting Matter: Newtonian Equations of Motion for a Bloch Electron

Introduction to Non-Equilibrium Quantum Statistical Mechanics

Statistical and Thermal Physics, Part I: Probabilities and Statistics, Thermodynamics and Classical Statistical Mechanics

Statistical and Thermal Physics, Part II: Quantum Statistical Mechanics and Simple Applications

Quantum Theory of Conducting Matter: Newtonian Equations of Motion for a Bloch Electron

Quantum Theory of Conducting Matter: Superconductivity

Mathematical Physics

Electrical Conduction in Graphene and Nanotubes