Author: William Marshall WattsPublisher:
ISBN:
Category : Spectrum analysis
Languages : en
Pages : 262
Book Description
Index of Spectra
Author: William Marshall WattsPublisher:
ISBN:
Category : Spectrum analysis
Languages : en
Pages : 262
Book Description
Spectra of Graphs
Author: Andries E. BrouwerPublisher: Springer Science & Business Media
ISBN: 1461419395
Category : Mathematics
Languages : en
Pages : 254
Book Description
This book gives an elementary treatment of the basic material about graph spectra, both for ordinary, and Laplace and Seidel spectra. The text progresses systematically, by covering standard topics before presenting some new material on trees, strongly regular graphs, two-graphs, association schemes, p-ranks of configurations and similar topics. Exercises at the end of each chapter provide practice and vary from easy yet interesting applications of the treated theory, to little excursions into related topics. Tables, references at the end of the book, an author and subject index enrich the text. Spectra of Graphs is written for researchers, teachers and graduate students interested in graph spectra. The reader is assumed to be familiar with basic linear algebra and eigenvalues, although some more advanced topics in linear algebra, like the Perron-Frobenius theorem and eigenvalue interlacing are included.
Spectrum Analysis
Author: Henry Enfield RoscoePublisher:
ISBN:
Category : Heat
Languages : en
Pages : 558
Book Description
Knowledge
Author: Index of spectra, etc
Author: William Marshall WattsPublisher:
ISBN:
Category :
Languages : en
Pages : 120
Book Description
Recent Results in the Theory of Graph Spectra
Author: D.M. CvetkovicPublisher: Elsevier
ISBN: 0080867766
Category : Mathematics
Languages : en
Pages : 319
Book Description
The purpose of this volume is to review the results in spectral graph theory which have appeared since 1978.The problem of characterizing graphs with least eigenvalue -2 was one of the original problems of spectral graph theory. The techniques used in the investigation of this problem have continued to be useful in other contexts including forbidden subgraph techniques as well as geometric methods involving root systems. In the meantime, the particular problem giving rise to these methods has been solved almost completely. This is indicated in Chapter 1.The study of various combinatorial objects (including distance regular and distance transitive graphs, association schemes, and block designs) have made use of eigenvalue techniques, usually as a method to show the nonexistence of objects with certain parameters. The basic method is to construct a graph which contains the structure of the combinatorial object and then to use the properties of the eigenvalues of the graph. Methods of this type are given in Chapter 2.Several topics have been included in Chapter 3, including the relationships between the spectrum and automorphism group of a graph, the graph isomorphism and the graph reconstruction problem, spectra of random graphs, and the Shannon capacity problem. Some graph polynomials related to the characteristic polynomial are described in Chapter 4. These include the matching, distance, and permanental polynomials. Applications of the theory of graph spectra to Chemistry and other branches of science are described from a mathematical viewpoint in Chapter 5. The last chapter is devoted to the extension of the theory of graph spectra to infinite graphs.
Spectroscopy
Author: Edward Charles Cyril BalyPublisher:
ISBN:
Category : Science
Languages : en
Pages : 324
Book Description
The Spectra and Dynamics of Diatomic Molecules
Author: Helene Lefebvre-BrionPublisher: Elsevier
ISBN: 0080517501
Category : Science
Languages : en
Pages : 797
Book Description
This book is written for graduate students just beginning research, for theorists curious about what experimentalists actually can and do measure, and for experimentalists bewildered by theory. It is a guide for potential users of spectroscopic data, and uses language and concepts that bridge the frequency-and time-domain spectroscopic communities. Key topics, concepts, and techniques include: the assignment of simple spectra, basic experimental techniques, definition of Born-Oppenheimer and angular momentum basis sets and the associated spectroscopic energy level patterns (Hund's cases), construction of effective Hamiltonian matrices to represent both spectra and dynamics, terms neglected in the Born-Oppenheimer approximation (situations intermediate between Hund's cases, spectroscopic perturbations), nonlinear least squares fitting, calculation and interpretation of coupling terms, semi-classical (WKB) approximation, transition intensities and interference effects, direct photofragmentation (dissociation and ionization) and indirect photofragmentation (predissociation and autoionization) processes, visualization of intramolecular dynamics, quantum beats and wavepackets, treatment of decaying quasi-eigenstates using a complex Heff model, and concluding with some examples of polyatomic molecule dynamics. Students will discover that there is a fascinating world of cause-and-effect localized dynamics concealed beyond the reduction of spectra to archival molecular constants and the exact ab initio computation of molecular properties. Professional spectroscopists, kinetics, ab initio theorists will appreciate the practical, simplified-model, and rigorous theoretical approaches discussed in this book. - A fundamental reference for all spectra of small, gas-phase molecules - It is the most up-to-date and comprehensive book on the electronic spectroscopy and dynamics of diatomic molecules - The authors pioneered the development of many of the experimental methods, concepts, models, and computational schemes described in this book
Knowledge...
Author: Edwin Sharpe GrewPublisher:
ISBN:
Category : Science
Languages : en
Pages : 584
Book Description
The Spectra of Stars Belonging to Class R of the Draper Classification
Author: Will Carl RufusPublisher:
ISBN:
Category : Stars
Languages : en
Pages : 60
Book Description