Limit on the excess negative charge of a dynamic diatomic molecule

Mary Beth Ruskai

Annales de l'I.H.P. Physique théorique (1990)

  • Volume: 52, Issue: 4, page 397-414
  • ISSN: 0246-0211

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Ruskai, Mary Beth. "Limit on the excess negative charge of a dynamic diatomic molecule." Annales de l'I.H.P. Physique théorique 52.4 (1990): 397-414. <http://eudml.org/doc/76490>.

@article{Ruskai1990,
author = {Ruskai, Mary Beth},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {many-body Schrödinger operator; eigenvalue; bound states; stability of matter; quantum-mechanical Hamiltonian; discrete spectrum},
language = {eng},
number = {4},
pages = {397-414},
publisher = {Gauthier-Villars},
title = {Limit on the excess negative charge of a dynamic diatomic molecule},
url = {http://eudml.org/doc/76490},
volume = {52},
year = {1990},
}

TY - JOUR
AU - Ruskai, Mary Beth
TI - Limit on the excess negative charge of a dynamic diatomic molecule
JO - Annales de l'I.H.P. Physique théorique
PY - 1990
PB - Gauthier-Villars
VL - 52
IS - 4
SP - 397
EP - 414
LA - eng
KW - many-body Schrödinger operator; eigenvalue; bound states; stability of matter; quantum-mechanical Hamiltonian; discrete spectrum
UR - http://eudml.org/doc/76490
ER -

References

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  3. [3] M. Reed and B. Simon, Methods of Mathematical Physics IV. Analysis of Operators, Academic, 1978. Zbl0401.47001
  4. [4] W. Thirring, A Course in Mathematical Physics 3. Quantum Mechanics of Atoms and Molecules, Springer-Verlag, 1981. Zbl0462.46046MR625662
  5. [5] M.B. Ruskai, Commun. Math. Phys., Vol. 82, 1982, pp. 457-469; Vol. 85, 1982, pp. 325-327. MR676005
  6. [6] I.M. Sigal, in Mathematical Problems in Theoretical Physics, R. SEILER Ed., Vol. 153 of Springer Lecture Notes in Theoretical Physics, Springer-Verlag, 1982, pp. 149-156; Commun. Math. Phys., Vol. 85, 1982, pp. 309-324. Zbl0503.47041MR723869
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  9. [9] E.H. Lieb, I.M. Sigal, B. Simon and W. Thirring, Phys. Rev. Lett., Vol. 52, 1984, pp. 994-996; Commun. Math. Phys., Vol. 116, 1988, pp. 635-644. 
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  11. [11] C.L. Fefferman and L.A. Seco, Proc. Natl. Acad. Sci., U.S.A., Vol. 86, 1989, pp. 3464-3465; Asymptotic Neutrality of Large Ions, preprint. MR997636
  12. [12] M.B. Ruskai, Lett. Math. Phys., Vol. 18, 1989, pp. 121-137. Zbl0689.35089MR1010991
  13. [13] J.P. Solovej, Bounds on Stability for Diatomic Molecules, preprint. 
  14. [14] H.L. Cycon, R.G. Froese, W. Kirsch and B. Simon, Schrödinger Operators, Springer–Verlag, 1987, Sections 3. 7 and 3.8. Zbl0619.47005
  15. [15] P. Briet, P. Duclos and H. Hogreve, Lett. Math. Phys., Vol. 13, 1987, pp. 137-140; H. Hogreve, J. Math. Phys., Vol. 29, 1988, pp. 1937-1942. MR886149
  16. [16] B. Simon, Fifteen Problems in Mathematical Physics, in Perspectives in Mathematics, pp. 417-488, Birkhäuser, 1984. [Of the problems in Section 10, B, D, and E have now all been solved; but A and C, both of which involve ionization potentials, have not.] Zbl0576.00014MR779685
  17. [17] L.A. Seco, J.P. Solovej and I.M. Sigal, Bounds on the Ionization Energy of Large Atoms, preprint. MR1065674
  18. [18] J.P. Solovej, Asymptotic Neutrality for Diatomic Molecules, Commun. Math. Phys. to appear. Zbl0713.35064MR1055692

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