Faulkner, J. S., <br/><br/>
Multiple scattering theory :  electronic structure of solids / 
 Electronic structure of solids. 
J.S. Faulkner, G. Malcolm Stocks, Yang Wang. 
 - 1 online resource (various pagings) :  illustrations (some color). 
 - [IOP release 6] IOP expanding physics,  2053-2563 .
 - IOP (Series).  Release 6. IOP expanding physics. .
<br/><br/> "Version: 20181201"--Title page verso. 
<br/><br/>Includes bibliographical references. 
<br/><br/>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. 
<br/><br/> 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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<br/><br/><br/>Mode of access: World Wide Web. <br/>System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader. 
<br/><br/><br/>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 
<br/><br/><label>ISBN: </label>9780750314909 9780750314893 
<br/><br/><label>Standard No.: </label>10.1088/2053-2563/aae7d8  doi 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Multiple scattering (Physics)<br/>Energy-band theory of solids.<br/>Materials / States of matter.<br/>SCIENCE / Physics / Electromagnetism.
<br/><br/><label>LC Class. No.: </label>QC173.4.M85  / F386 2018eb 
<br/><br/><label>Dewey Class. No.: </label>530.4/16