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MAT637Thomas-Fermi and Hartree-Fock theory for atoms and moleculesBenjamin SchleinFS 14
Mo13.00-14.45Y27H12
Fr13.00-14.45Y27H28

 

Lecture notes:

Thomas Fermi and Hartree Fock theories [ last update: May, 28 2014 ]

 

Exercise class notes

1. Hardy-Littlewood-Sobolev and Young inequalities (lecture notes, adapted from [5])

2. The Lieb-Oxford inquality (ref. [5])

3. The Lieb-Thirring inequality (ref. [2], [3], [4])

4. Kinetic energy inequalities (ref. [2], [3], [4])

5. The Araki-Lieb-Thirring operator trace inequality
(lecture notes, adapted from Appendix 4.5 in [2], and [Araki,1990])

6. Admissibility of the one particle density matrix (lecture notes, adapted from [2])

7. The Hardy-Littlewood maximal inequality

 

References

[1] E. H. Lieb. Thomas-fermi and related theories of atoms and molecules.
Rev. Mod. Phys. 1981. [pdf]

[2] E. H. Lieb, R. Seiringer. Stability of matter in Quantum Mechanics.
Cambridge University Press.

[3] M. Loss. Stability of Matter. Lecture notes. [pdf]

[4] R. Seiringer. Inequalities for Schroedinger Operators and Applications to the Stability of Matter Problem. Lecture notes. [pdf]

[5] E. H. Lieb, M. Loss. Analysis. American Mathematical Society.

 

Downloads: [TF-HF] [Ex.1] [Ex. 5] [Ex.6]


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