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Multiple scattering theory : electronic structure of solids /
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 o...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) :
IOP Publishing,
[2018]
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| Colección: | IOP (Series). Release 6.
IOP expanding physics. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 024 | 7 | |a 10.1088/2053-2563/aae7d8 |2 doi | |
| 035 | |a (CaBNVSL)thg00978445 | ||
| 035 | |a (OCoLC)1082881984 | ||
| 040 | |a CaBNVSL |b eng |e rda |c CaBNVSL |d CaBNVSL | ||
| 050 | 4 | |a QC173.4.M85 |b F386 2018eb | |
| 072 | 7 | |a PHF |2 bicssc | |
| 072 | 7 | |a SCI022000 |2 bisacsh | |
| 082 | 0 | 4 | |a 530.4/16 |2 23 |
| 100 | 1 | |a Faulkner, J. S., |e author. | |
| 245 | 1 | 0 | |a Multiple scattering theory : |b electronic structure of solids / |c J.S. Faulkner, G. Malcolm Stocks, Yang Wang. |
| 246 | 3 | 0 | |a Electronic structure of solids. |
| 264 | 1 | |a Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : |b IOP Publishing, |c [2018] | |
| 300 | |a 1 online resource (various pagings) : |b illustrations (some color). | ||
| 336 | |a text |2 rdacontent | ||
| 337 | |a electronic |2 isbdmedia | ||
| 338 | |a online resource |2 rdacarrier | ||
| 490 | 1 | |a [IOP release 6] | |
| 490 | 1 | |a IOP expanding physics, |x 2053-2563 | |
| 500 | |a "Version: 20181201"--Title page verso. | ||
| 504 | |a Includes bibliographical references. | ||
| 505 | 0 | |a 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 | |
| 505 | 8 | |a 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 | |
| 505 | 8 | |a 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 | |
| 505 | 8 | |a 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 | |
| 505 | 8 | |a 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 | |
| 505 | 8 | |a 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 | |
| 505 | 8 | |a 8. Relativistic full potential MST calculations -- 8.1. The Dirac equation -- 8.2. Relativistic Green's function -- 8.3. Some examples | |
| 505 | 8 | |a 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. | |
| 520 | 3 | |a 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. | |
| 530 | |a Also available in print. | ||
| 538 | |a Mode of access: World Wide Web. | ||
| 538 | |a System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader. | ||
| 545 | |a 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." | ||
| 588 | 0 | |a Title from PDF title page (viewed on January 16, 2019). | |
| 650 | 0 | |a Multiple scattering (Physics) | |
| 650 | 0 | |a Energy-band theory of solids. | |
| 650 | 7 | |a Materials / States of matter. |2 bicssc | |
| 650 | 7 | |a SCIENCE / Physics / Electromagnetism. |2 bisacsh | |
| 700 | 1 | |a Stocks, G. M., |d 1943- |e author. | |
| 700 | 1 | |a Wang, Yang |c (Ph. D. in physics), |e author. | |
| 710 | 2 | |a Institute of Physics (Great Britain), |e publisher. | |
| 776 | 0 | 8 | |i Print version: |z 9780750314886 |
| 830 | 0 | |a IOP (Series). |p Release 6. | |
| 830 | 0 | |a IOP expanding physics. | |
| 856 | 4 | 0 | |u https://iopscience.uam.elogim.com/book/978-0-7503-1490-9 |z Texto completo |