UID:
almafu_9959028193002883
Umfang:
1 online resource (various pagings) :
,
illustrations (some color).
ISBN:
9780750314893
,
0750314893
,
9780750314909
,
0750314907
Serie:
[IOP release 6]
Inhalt:
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.
Anmerkung:
"Version: 20181201"--Title page verso.
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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
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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
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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
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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
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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
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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
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8. Relativistic full potential MST calculations -- 8.1. The Dirac equation -- 8.2. Relativistic Green's function -- 8.3. Some examples
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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.
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Also available in print.
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Mode of access: World Wide Web.
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System requirements: Adobe Acrobat Reader, EPUB reader, or Kindle reader.
Weitere Ausg.:
ISBN 9780750314886
Weitere Ausg.:
ISBN 0750314885
Sprache:
Englisch
DOI:
10.1088/2053-2563/aae7d8
URL:
https://iopscience.iop.org/book/978-0-7503-1490-9
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