Improved estimate on the number of bound states of negatively charged bosonic atoms

Mary Beth Ruskai

Annales de l'I.H.P. Physique théorique (1994)

  • Volume: 61, Issue: 2, page 153-162
  • ISSN: 0246-0211

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Ruskai, Mary Beth. "Improved estimate on the number of bound states of negatively charged bosonic atoms." Annales de l'I.H.P. Physique théorique 61.2 (1994): 153-162. <http://eudml.org/doc/76651>.

@article{Ruskai1994,
author = {Ruskai, Mary Beth},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {atom whose electrons satisfy bosonic symmetry conditions; number of bound states; nuclear charge},
language = {eng},
number = {2},
pages = {153-162},
publisher = {Gauthier-Villars},
title = {Improved estimate on the number of bound states of negatively charged bosonic atoms},
url = {http://eudml.org/doc/76651},
volume = {61},
year = {1994},
}

TY - JOUR
AU - Ruskai, Mary Beth
TI - Improved estimate on the number of bound states of negatively charged bosonic atoms
JO - Annales de l'I.H.P. Physique théorique
PY - 1994
PB - Gauthier-Villars
VL - 61
IS - 2
SP - 153
EP - 162
LA - eng
KW - atom whose electrons satisfy bosonic symmetry conditions; number of bound states; nuclear charge
UR - http://eudml.org/doc/76651
ER -

References

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  1. [1] V. Bach, Ionization Energies of Bosonic Coulomb System, Lett. Math. Phys., Vol. 21, 1991, pp. 139-149. Zbl0725.47049MR1093525
  2. [2] V. Bach, R. Lewis, H. Siedentop, On the Number of Bound States of a Bosonic N-Particle Coulomb System, Zeits f. Math., Vol. 214, 1993, pp. 441-460. Zbl0852.47036MR1245205
  3. [3] H.L. Cycon, R. Froese, W. Kirsch, B. Simon, Schrödinger Operators, Springer-Verlag, 1987. Zbl0619.47005
  4. [4] C.L. Fefferman, L.A. Seco, Asymptotic Neutrality of Large Ions, Commun. Math. Phys., Vol. 128, 1990, pp. 109-130. Zbl0695.60098MR1042446
  5. [5] E.H. Lieb, Bound on the Maximum Negative Ionization of Atoms and Molecules, Phys. Rev. A, Vol. 29, 1984, pp. 3018-3028. 
  6. [6] E.H. Lieb, I.M. Sigal, B. Simon, W. Thirring, Asymptotic Neutrality of Large-Z Ions, Commun. Math. Phys., Vol. 116, 1988, pp. 635-644. MR943705
  7. [7] M.B. Ruskai, Absence of Discrete Spectrum of Highly Negative Ions, Commun. Math. Phys., Vol. 82, 1982, pp. 457-469. MR641909
  8. [8] M.B. Ruskai, Limits on Stability of Positive Molecular Ions, Lett. Math. Phys., Vol. 18, 1989, pp. 121-132. Zbl0689.35089MR1010991
  9. [9] M.B. Ruskai, Limit on the Excess Negative Charge of Dynamic Diatomic Molecule, Ann. Inst. H. Poincaré A: Physique Théorique, Vol. 52, 1990, pp. 397-414. Zbl0727.35095MR1062906
  10. [10] L.A. Seco, I.M. Sigal, P. Solovej, Bound on the Ionization Energy of Large Atoms, Commun. Math. Phys., Vol. 131, 1990, pp. 307-315. Zbl0714.35059MR1065674
  11. [11] I.M. Sigal, Geometric Methods in the Quantum Many-Body Problem. Nonexistence of Very Negative Ions, Commun. Math. Phys., Vol. 85, 1982, pp. 309-324. Zbl0503.47041MR676004
  12. [12] I.M. Sigal, How Many Electrons Can A Nucleus Bind?, Ann. Phys., Vol. 157, 1984, pp. 307-320. MR768234
  13. [13] G.M. Zhislin, On the Finiteness of the Discrete Spectrum of the Energy Operator of Negative Atomic and Molecular Ions, Teor. Mat Fiz, Vol. 7, 1971, pp. 332-341; Eng. trans. Theor. Math. Phys., Vol. 7, 1971, pp. 571-578. Zbl0212.15703

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