@incollection{JEDP_1996____A11_0, author = {Gian Michele Graf}, title = {An electrostatic inequality with applications to the constitution of matter}, booktitle = {}, series = {Journ\'ees \'equations aux d\'eriv\'ees partielles}, eid = {11}, pages = {1--7}, publisher = {\'Ecole polytechnique}, year = {1996}, zbl = {0873.35096}, mrnumber = {98a:81281}, language = {en}, url = {https://proceedings.centre-mersenne.org/item/JEDP_1996____A11_0/} }
TY - JOUR AU - Gian Michele Graf TI - An electrostatic inequality with applications to the constitution of matter JO - Journées équations aux dérivées partielles PY - 1996 SP - 1 EP - 7 PB - École polytechnique UR - https://proceedings.centre-mersenne.org/item/JEDP_1996____A11_0/ LA - en ID - JEDP_1996____A11_0 ER -
Gian Michele Graf. An electrostatic inequality with applications to the constitution of matter. Journées équations aux dérivées partielles (1996), article no. 11, 7 p. https://proceedings.centre-mersenne.org/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
[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 | Zbl
[3] F.J. Dyson, A. Lenard, Stability of matter, I, J. Math. Phys. 8, 423-434 (1967). | Zbl
[4] J.P. Eckmann, Sur la stabilité de la matière, Lecture notes (unpublished).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
[6] C.L. Fefferman, The uncertainty principle, Bull. A.M.S. 9, 129-206 (1983). | MR | Zbl
[7] C. Fefferman, The atomic and molecular nature of matter, Rev. Math. Iberoamericana 1, 1-44 (1985). | MR | Zbl
[8] G.M. Graf, Stability of matter through an electrostatic inequality, Helv. Phys. Acta, to appear. | Zbl
[9] G.M. Graf, D. Schenker, On the molecular limit of Coulomb gases, Commun. Math. Phys. 174, 215-227, (1995). | MR | Zbl
[10] W. Hughes, Thermodynamics for Coulomb systems : A problem at vanishing particle densities, J. Stat. Phys. 41, 975-1013 (1985). | MR | Zbl
[11] A. Lenard, in Statistical Mechanics and Mathematical Problems, A. Lenard ed., Springer (1973). | MR | Zbl
[12] E.H. Lieb, The stability of matter, Rev. Mod. Phys. 48, 553-569 (1976). | MR
[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 | Zbl
[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 | Zbl
[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
[17] R. Peierls, Surprises in Theoretical Physics, Princeton University Press (1979). | MR