Heavy molecules in the strong magnetic field

Victor Ivrii

Journées équations aux dérivées partielles (1997)

  • page 1-8
  • ISSN: 0752-0360

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Ivrii, Victor. "Heavy molecules in the strong magnetic field." Journées équations aux dérivées partielles (1997): 1-8. <http://eudml.org/doc/93351>.

@article{Ivrii1997,
author = {Ivrii, Victor},
journal = {Journées équations aux dérivées partielles},
language = {eng},
pages = {1-8},
publisher = {Ecole polytechnique},
title = {Heavy molecules in the strong magnetic field},
url = {http://eudml.org/doc/93351},
year = {1997},
}

TY - JOUR
AU - Ivrii, Victor
TI - Heavy molecules in the strong magnetic field
JO - Journées équations aux dérivées partielles
PY - 1997
PB - Ecole polytechnique
SP - 1
EP - 8
LA - eng
UR - http://eudml.org/doc/93351
ER -

References

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  2. [FISS] C. FEFFERMAN, V. IVRII, L. SECO & I. SIGAL. The Energy Asymptotics of Large Coulomb Systems, Springer Lecture Notes in Physics, 403, 1979-1999. Zbl0834.47066MR93h:81150
  3. [FS] C. FEFFERMAN, L. SECO. On the Dirac and Schwinger corrections to the ground state energy of an atom, Adv. Math., 107 no. 1, Aug. 1994, 1 — 185 and related articles. Zbl0820.35113MR95e:81262
  4. [GS] G.M. GRAF, P. SOLOVEJ. A correlation estimate with applications to quantum systems with Coulomb interactions, Rev. Math. Phys., Vol. 6, No. 5a, 977-997 (1994). Reprinted in The state of matter a volume dedicated to E. H. Lieb, Advanced series in mathematical physics, Vol. 20, M. Aizenman and H. Araki (Eds.), 142-166, World Scientific 1994. Zbl0843.47041MR96b:81138
  5. [Ivr1] V. IVRII. Semiclassical microlocal analysis and precise spectral asymptotics. Research monograph, about 800 pp, Springer-Verlag, 1997/1998 (to appear). 
  6. [Ivr2] V. IVRII. Asymptotics of the ground state energy of heavy molecules in the strong magnetic field. I. Russian J. Math. Physics, 4 (1996), no 1, 29-74. Zbl0958.35113MR97h:81255
  7. [Ivr3] V. IVRII. Asymptotics of the ground state energy of heavy molecules in the strong magnetic field. II. Russian J. Math. Physics, (to appear). Zbl0958.35115
  8. [Ivr4] V. IVRII. Heavy molecules in the strong magnetic field. Russian J. Math. Physics, 4 (1996), no 4, 449-456. Zbl0908.35106MR99e:81267
  9. [Ivr5] V. IVRII. Heavy molecules in the strong magnetic field. Estimates for ionization energy and excessive charge. Russian J. Math. Physics, (to appear). Zbl0908.35106
  10. [IS] V. IVRII, I.M. SIGAL. Asymptotics of the ground state energies of large Coulomb systems. Ann. Math 138 (1993), 243-335. Zbl0789.35135MR95a:81302
  11. [L] E.H.LIEB. The stability of matter: from atoms to stars (Selecta). Springer-Verlag (1991). 
  12. [LSY1] E.H.LIEB, P. SOLOVEJ, J. YNGVARSSON. Asymptotics of heavy atoms in high magnetic fields: I. Lowest Landau band regions. Comm. Pure Appl. Math. 47 (1994), 513-591. Zbl0800.49041MR95f:81102
  13. [LSY2] E.H. LIEB, P. SOLOVEJ, J. YNGVARSSON. Asymptotics of heavy atoms in high magnetic fields: II. Semiclassical regions. Comm. Math. Phys. 161 (1994), 77-124. Zbl0807.47058MR95f:81103
  14. [RS] M.B. RUSKAI AND J.P. SOLOVEJ. Asymptotic neutrality of polyatomic molecules. In Schrödinger Operators, Springer Lecture Notes in Physics 403, E. Balslev (Ed.), 153-174, Springer Verlag (1992). Zbl0787.47041MR93i:81305
  15. [Si] I.M. SIGAL. Lectures on large Coulomb systems CRM Proc. and Lecture Note, 8 (1995), 73-107. Zbl0830.35111MR96i:81062
  16. [SSS] L.A. SECO, I.M. SIGAL, J.P. SOLOVEJ. Bound of the ionization energy of large atoms. Commun. Math. Phys., 131, (1990), 307-315. Zbl0714.35059MR91m:81327
  17. [Sol] J.P. SOLOVEJ. Asymptotic neutrality of diatomic molecules. Commun. Math. Phys., 130, (1990), 185-204. Zbl0713.35064MR91f:81256

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