An electrostatic inequality with applications to the constitution of matter
Graf, Gian Michele
Journées équations aux dérivées partielles, (1996), p. 1-7 / Harvested from Numdam
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Publié le : 1996-01-01
@article{JEDP_1996____A11_0,
     author = {Graf, Gian Michele},
     title = {An electrostatic inequality with applications to the constitution of matter},
     journal = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
     year = {1996},
     pages = {1-7},
     mrnumber = {98a:81281},
     zbl = {0873.35096},
     language = {en},
     url = {http://dml.mathdoc.fr/item/JEDP_1996____A11_0}
}

Graf, Gian Michele. An electrostatic inequality with applications to the constitution of matter. Journées équations aux dérivées partielles,  (1996), pp. 1-7. http://gdmltest.u-ga.fr/item/JEDP_1996____A11_0/

[1] J.G. Conlon, E.H. Lieb, H.T. Yau, The N7/5 law for charged bosons, Commun. Math. Phys. 116, 417-448 (1988). | MR 89d:81125

[2] J.G. Conlon, E.H. Lieb, H.T. Yau, The Coulomb gas at low temperature and low density, Commun. Math. Phys. 125, 153-180 (1989). | MR 90m:82006 | Zbl 0682.76066

[3] F.J. Dyson, A. Lenard, Stability of matter, I, J. Math. Phys. 8, 423-434 (1967). | Zbl 0948.81665

[4] J.P. Eckmann, Sur la stabilité de la matière, Lecture notes (unpublished).

[5] P. Federbush, A new approach to the stability of matter problem, J. Math. Phys. 16, 347-351, 706-709 (1975). | MR 52 #7384

[6] C.L. Fefferman, The uncertainty principle, Bull. A.M.S. 9, 129-206 (1983). | MR 85f:35001 | Zbl 0526.35080

[7] C. Fefferman, The atomic and molecular nature of matter, Rev. Math. Iberoamericana 1, 1-44 (1985). | MR 88g:82011 | Zbl 0621.60120

[8] G.M. Graf, Stability of matter through an electrostatic inequality, Helv. Phys. Acta, to appear. | Zbl 0864.58067

[9] G.M. Graf, D. Schenker, On the molecular limit of Coulomb gases, Commun. Math. Phys. 174, 215-227, (1995). | MR 97i:82008 | Zbl 0837.58048

[10] W. Hughes, Thermodynamics for Coulomb systems : A problem at vanishing particle densities, J. Stat. Phys. 41, 975-1013 (1985). | MR 87d:82019 | Zbl 0646.35066

[11] A. Lenard, in Statistical Mechanics and Mathematical Problems, A. Lenard ed., Springer (1973). | MR 52 #16416 | Zbl 0253.00011

[12] E.H. Lieb, The stability of matter, Rev. Mod. Phys. 48, 553-569 (1976). | MR 56 #14314

[13] E.H. Lieb, J.L. Lebowitz, The constitution of matter : Existence of thermodynamics for systems composed of electrons and nuclei, Adv. in Math. 9, 316-398 (1972). | MR 49 #4508 | Zbl 1049.82501

[14] E.H. Lieb, W. Thirring, Bound for the kinetic energy of fermions which proves the stability of matter, Phys. Rev. Lett. 35, 687-689 (1975). Errata 35, 1116 (1975).

[15] N. Macris, Ph.A. Martin, Ionization equilibrium in the electron proton gas, J. Stat. Phys. 60, 619-637 (1990). | MR 91m:82013 | Zbl 01397781

[16] Ph.A. Martin, Lecture on Fefferman's proof of the atomic and molecular nature of matter. Acta Physica Polonica P24, 751-770 (1993). | MR 94g:81225

[17] R. Peierls, Surprises in Theoretical Physics, Princeton University Press (1979). | MR 81g:81002