Multiple scattering theory : electronic structure of solids /: electronic structure of solids. ([2018])

• Record Type: Book
• Other Titles: Electronic structure of solids
• Further Information: Note: J.S. Faulkner, G. Malcolm Stocks, Yang Wang.
• Authors: Faulkner, J. S; Stocks, G. M, 1943-; (Ph. D. in physics), Wang, Yang
• Other Names: Institute of Physics (Great Britain), publisher.
• 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.
• Publisher Details: Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : IOP Publishing
• Publication Date: 2018
• Extent: 1 online resource, illustrations (some color)
• Subjects: 530.4/16; Multiple scattering (Physics); Energy-band theory of solids; Materials / States of matter; SCIENCE / Physics / Electromagnetism; Energy-band theory of solids; Multiple scattering (Physics); Electronic books
• Languages: English
• ISBNs: 9780750314909; 0750314907; 9780750314893; 0750314893; 0750314885; 9780750314886
• Related ISBNs: 9780750314886
• Notes: Note: Includes bibliographical references.; Note: Title from PDF title page (viewed on January 16, 2019).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.