Heavy molecules in the strong magnetic field
Journées équations aux dérivées partielles, (1997), article no. 9, 8 p.
@article{JEDP_1997____A9_0,
author = {Ivrii, Victor},
title = {Heavy molecules in the strong magnetic field},
journal = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
publisher = {Ecole polytechnique},
year = {1997},
zbl = {01808669},
mrnumber = {1482276},
language = {en},
url = {http://www.numdam.org/item/JEDP_1997____A9_0}
}

Ivrii, Victor. Heavy molecules in the strong magnetic field. Journées équations aux dérivées partielles,  (1997), article  no. 9, 8 p. http://www.numdam.org/item/JEDP_1997____A9_0/

[B] V. Bach. Error bound for the Hartree-Fock energy of atoms and molecules, Commun. Math. Phys., 147 (1992), 527-548. | MR 94d:81242 | Zbl 0771.46038

[FISS] C. Fefferman, V. Ivrii, L. Seco & I. Sigal. The Energy Asymptotics of Large Coulomb Systems, Springer Lecture Notes in Physics, 403, 1979-1999. | MR 93h:81150 | Zbl 0834.47066

[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. | MR 95e:81262 | Zbl 0820.35113

[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. | MR 96b:81138 | Zbl 0843.47041

[Ivr1] V. Ivrii. Semiclassical microlocal analysis and precise spectral asymptotics. Research monograph, about 800 pp, Springer-Verlag, 1997/1998 (to appear).

[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. | MR 97h:81255 | Zbl 0958.35113

[Ivr3] V. Ivrii. Asymptotics of the ground state energy of heavy molecules in the strong magnetic field. II. Russian J. Math. Physics, (to appear). | Zbl 0958.35115

[Ivr4] V. Ivrii. Heavy molecules in the strong magnetic field. Russian J. Math. Physics, 4 (1996), no 4, 449-456. | MR 99e:81267 | Zbl 0908.35106

[Ivr5] V. Ivrii. Heavy molecules in the strong magnetic field. Estimates for ionization energy and excessive charge. Russian J. Math. Physics, (to appear). | Zbl 0908.35106

[IS] V. Ivrii, I.M. Sigal. Asymptotics of the ground state energies of large Coulomb systems. Ann. Math 138 (1993), 243-335. | MR 95a:81302 | Zbl 0789.35135

[L] E.H.Lieb. The stability of matter: from atoms to stars (Selecta). Springer-Verlag (1991).

[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. | MR 95f:81102 | Zbl 0800.49041

[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. | MR 95f:81103 | Zbl 0807.47058

[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). | MR 93i:81305 | Zbl 0787.47041

[Si] I.M. Sigal. Lectures on large Coulomb systems CRM Proc. and Lecture Note, 8 (1995), 73-107. | MR 96i:81062 | Zbl 0830.35111

[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. | MR 91m:81327 | Zbl 0714.35059

[Sol] J.P. Solovej. Asymptotic neutrality of diatomic molecules. Commun. Math. Phys., 130, (1990), 185-204. | MR 91f:81256 | Zbl 0713.35064