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Ionization energies of bosonic Coulomb systems. (English) Zbl 0725.47049

Summary: We consider atomic and molecular systems with fixed nuclei where the electrons are assumed to be bosons. Then the ionization energies are rigorously computable in the limit of large particle numbers.

MSC:

47N50 Applications of operator theory in the physical sciences
81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics
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[1] Baumgartner, B., On Thomas-Fermi-Von Weizsäcker and Hartree energies as functions of the degree of ionization, J. Phys. A 17, 1593-1602 (1984). · Zbl 0541.49020 · doi:10.1088/0305-4470/17/8/015
[2] Benguria, R. and Lieb, E. H., Proof of the stability of highly negative ions in the absence of the Pauli principle, Phys. Rev. Lett. 50, 1771-1774 (1983). · doi:10.1103/PhysRevLett.50.1771
[3] Benguria, R., Brezis, H., and Lieb, E. H., The Thomas-Fermi-Von Weizsäcker theory of atoms and molecules, Comm. Math. Phys. 79, 167-180 (1981). · Zbl 0478.49035 · doi:10.1007/BF01942059
[4] Lieb, E. H., Thomas-Fermi and related theories of atoms and molecules, Rev. Mod. Phys. 53, 603-604 (1981). · Zbl 1114.81336 · doi:10.1103/RevModPhys.53.603
[5] Lieb, E. H. and Oxford, S., An improved lower bound on the indirect Coulomb energy, Int. J. Quantum Chem. 19, 427-439 (1981). · doi:10.1002/qua.560190306
[6] Reed, M. and Simon, B., Methods of Modern Mathematical Physics: Analysis of Operators, Volume 4, Academic Press, San Diego, 1978. · Zbl 0401.47001
[7] Seco, L. A., Sigal, M., and Solovej, J. P., Bounds on the ionization energy of large atoms, Comm. Math. Phys. 131, 307-317 (1990). · Zbl 0714.35059 · doi:10.1007/BF02161416
[8] Hoffmann-Ostenhof, M. and Hoffmann-Ostenhof, T., Schrödinger inequalities and the asymptotic behaviour of the electron densities of atoms and molecules, Phys. Lett. A 16, 1782-1785 (1977).
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