| Collation |
1 online resource (various pagings) : illustrations (some color). |
|
text rdacontent |
|
electronic isbdmedia |
|
online resource rdacarrier |
| Series |
[IOP release 6] |
|
IOP expanding physics, 2053-2563 |
|
IOP (Series). Release 6.
|
|
IOP expanding physics.
|
| Note |
"Version: 20181201"--Title page verso. |
| Bibliog. |
Includes bibliographical references. |
| Contents |
1. History of multiple scattering theory -- 2. Scattering theory -- 2.1. Potential scattering -- 2.2. Position representation -- 2.3. The classic scattering experiment -- 2.4. Angular momentum expansion -- 2.5. Non-spherical potentials with finite domains -- 2.6. Spherical potentials -- 2.7. Analytical properties of scattering matrices |
|
3. Multiple scattering equations -- 3.1. Derivation of multiple scattering equations -- 3.2. Approximations -- 3.3. Proof of Korringa's hypothesis -- 3.4. The Korringa-Kohn-Rostoker band theory -- 3.5. Constant energy surfaces -- 3.6. Space-filling potentials -- 3.7. Pivoted multiple scattering -- 3.8. Wave functions |
|
4. Green's functions -- 4.1. The free-particle Green's functions and its adjoint -- 4.2. The Green's function for one scatterer -- 4.3. The Green's function for N scatterers -- 4.4. The Green's function for an infinite periodic lattice -- 4.5. The use of a complex energy -- 4.6. Full potential calculations -- 4.7. The Green's function for an impurity embedded in a periodic lattice |
|
5. MST for systems with no long range order -- 5.1. The supercell method -- 5.2. An order-N method for large systems -- 5.3. Magnetism -- 5.4. The coherent potential approximation for random alloys -- 5.5. The spectral density function -- 5.6. Resistivity -- 5.7. The polymorphous CPA -- 5.8. Historical studies of alloys |
|
6. Spectral theory in multiple scattering theory -- 6.1. Krein's theorem -- 6.2. Calculations with real potentials using Krein's theorem -- 6.3. Lloyd's formula and Krein's theorem |
|
7. Toy models -- 7.1. The Kronig-Penney model -- 7.2. The transfer matrix approach -- 7.3. The MST approach -- 7.4. The Kronig-Penney model of a disordered alloy -- 7.5. The average trace method -- 7.6. The coherent potential approximation -- 7.7. Lloyd's formula for the Kronig-Penney model -- 7.8. The spherical square well |
|
8. Relativistic full potential MST calculations -- 8.1. The Dirac equation -- 8.2. Relativistic Green's function -- 8.3. Some examples |
|
9. Applications of MST -- 9.1. Incommensurate concentration waves -- 9.2. Correlations and order in alloy concentrations -- 9.3. The embedded cluster Monte-Carlo method -- 9.4. High entropy alloys -- 10. Conclusions : beautiful minds. |
| Abstract |
In 1947, it was discovered that multiple scattering theory can be used to solve the Schrödinger equation for the stationary states of electrons in a solid. Written by experts in the field, Dr. J S Faulkner, G M Stocks, and Yang Wang, this book collates the results of numerous studies in the field of multiple scattering theory and provides a comprehensive, systematic approach to MSTs. |
| Note |
Also available in print. |
|
Mode of access: World Wide Web. |
|
System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader. |
| Biographical or Historical Data |
Professor John Samuel Faulkner obtained his PhD in physics from The Ohio State University, and is currently professor emeritus of Florida Atlantic University. Professor Faulkner has celebrated a career in physics for over five decades and has numerous publications in professional journals and articles. G.M. Stocks is a corporate fellow at Oak Ridge National Laboratory and gained his PhD in theoretical physics from the University of Sheffield. Dr. Stocks is a major developer of a number of first principles electronic structure methods and has published in numerous scientific publications. Dr. Yang Wang obtained his Physics PhD from Florida Atlantic University and currently a Senior Computational Scientist at Pittsburgh Supercomputing Centre. Dr. Wang notably developed a linear scaling quantum mechanical simulation code to study electronic and magnetic structures of metals and alloys." |
| Note |
Title from PDF title page (viewed on January 16, 2019). |
|
Access restricted to authorized Chapman University students, faculty, and stuff. |
| Subject |
Electronic resources.
|
|
Electronic books.
|
|
Multiple scattering (Physics)
|
|
Energy-band theory of solids.
|
|
SCIENCE / Physics / Electromagnetism. bisacsh |
| Alt Author |
Stocks, G. M., 1943- author.
|
|
Wang, Yang (Ph. D. in physics), author.
|
|
Institute of Physics (Great Britain), publisher.
|
| Portion Of Title |
Electronic structure of solids. |
| ISBN |
9780750314909 ebook |
|
9780750314893 mobi |
|
9780750314886 print |
| ISBN/ISSN |
10.1088/2053-2563/aae7d8 |
