Methoden vergleichen

	Tight-Binding-Modell	Dichtefunktionaltheorie	Hartree-Fock-Methode	KKR-Methode
Fachgebiet	Quantencomputing	Quantencomputing	Quantencomputing	Quantencomputing
Familie	Machine learning	Machine learning	Machine learning	Machine learning
Entstehungsjahr	1954	1965	1928	1947
Urheber	John Slater and George Koster	Walter Kohn	Douglas Hartree and Vladimir Fock	Joop Korringa and Walter Kohn
Typ	Simplified electronic structure model	Electronic structure method	Electronic structure method	Electronic structure method
Wegweisende Quelle	Slater, J. C., Koster, G. F. (1954). Simplified LCAO method for the periodic potential problem. Physical Review, 94, 1498–1524.	Kohn, W., Sham, L. J. (1965). Self-consistent equations including exchange and correlation effects. Physical Review, 140, A1133–A1138.	Fock, V. (1930). Näherungsmethode zur Lösung des quantenmechanischen Mehrkörperproblems. Zeitschrift für Physik, 61, 126–148.	Korringa, J. (1947). On the calculation of the energy of a Bloch wave in a metal. Physica, 13, 392–400.
Aliasnamen	TB model, hopping model	DFT, Kohn-Sham equations	HF, self-consistent field	KKR, multiple scattering
Verwandt	3	4	4	3
Zusammenfassung	The Tight-Binding (TB) model is a simplified semi-empirical approach for computing electronic band structures and properties of solids. Formulated by Slater and Koster in 1954, TB treats electron hopping between atomic sites as the dominant interaction, enabling efficient calculations of band dispersion for a wide variety of materials.	Density Functional Theory (DFT) is a computational method for determining the properties of materials and molecules by modeling the ground state electron density. Developed by Walter Kohn and Lu Jeu Sham in the 1960s, DFT reduces the complexity of quantum chemistry from tracking individual electron coordinates to optimizing the total electron density, enabling efficient simulations of large molecular and condensed-matter systems.	The Hartree-Fock (HF) method is a foundational self-consistent field approach for solving the many-electron Schrödinger equation. Developed independently by Douglas Hartree and Vladimir Fock in the late 1920s, it approximates the ground state by assuming electrons move in an average field generated by all other electrons, enabling tractable quantum chemistry calculations.	The Korringa-Kohn-Rostoker (KKR) method is a powerful multiple-scattering approach for calculating electronic band structures and properties of periodic and disordered solids. Developed in the late 1940s, KKR treats electrons as scattering from atomic potentials in a muffin-tin geometry, enabling efficient calculations for both crystalline and amorphous systems.