Multiple scattering theory : electronic structure of solids / J.S. Faulkner, G. Malcolm Stocks, Yang Wang.

By: Faulkner, J. S [author.]Contributor(s): Stocks, G. M, 1943- [author.] | Wang, Yang (Ph. D. in physics) [author.] | Institute of Physics (Great Britain) [publisher.]Material type: TextTextSeries: IOP (Series)Release 6 | IOP expanding physicsPublisher: Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : IOP Publishing, [2018]Description: 1 online resource (various pagings) : illustrations (some color)Content type: text Media type: electronic Carrier type: online resourceISBN: 9780750314909 ebookOther title: Electronic structure of solidsSubject(s): Multiple scattering (Physics) | Energy-band theory of solids | Materials / States of matter | SCIENCE / Physics / ElectromagnetismAdditional physical formats: Print version:: No titleDDC classification: 530.4/16 LOC classification: QC173.4.M85 F386 2018ebOnline resources: e-book Full-text access Also available in print.
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 fini
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-fill
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. T
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. R
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.
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 Schr�odinger 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 b
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IOP Science eBook - EBA QC173.4.M85 F386 2018eb (Browse shelf (Opens below)) Available IOP_20210098

"Version: 20181201"--Title page verso.

Includes bibliographical references.

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 fini

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-fill

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. T

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. R

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.

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.

In 1947, it was discovered that multiple scattering theory can be used to solve the Schr�odinger 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 b

Also available in print.

Mode of access: World Wide Web.

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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 nu

Title from PDF title page (viewed on January 16, 2019).