An electrostatic inequality with applications to the constitution of matter

Gian Michele Graf

Journées équations aux dérivées partielles (1996)

  • Volume: 1996, page 1-7
  • ISSN: 0752-0360

How to cite

top

Graf, Gian Michele. "An electrostatic inequality with applications to the constitution of matter." Journées équations aux dérivées partielles 1996 (1996): 1-7. <http://eudml.org/doc/93318>.

@article{Graf1996,
author = {Graf, Gian Michele},
journal = {Journées équations aux dérivées partielles},
keywords = {electrostatic energy; electrostatic inequality; Coulomb interaction},
language = {eng},
pages = {1-7},
publisher = {Ecole polytechnique},
title = {An electrostatic inequality with applications to the constitution of matter},
url = {http://eudml.org/doc/93318},
volume = {1996},
year = {1996},
}

TY - JOUR
AU - Graf, Gian Michele
TI - An electrostatic inequality with applications to the constitution of matter
JO - Journées équations aux dérivées partielles
PY - 1996
PB - Ecole polytechnique
VL - 1996
SP - 1
EP - 7
LA - eng
KW - electrostatic energy; electrostatic inequality; Coulomb interaction
UR - http://eudml.org/doc/93318
ER -

References

top
  1. [1] J.G. Conlon, E.H. Lieb, H.T. Yau, The N7/5 law for charged bosons, Commun. Math. Phys. 116, 417-448 (1988). MR89d:81125
  2. [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). Zbl0682.76066MR90m:82006
  3. [3] F.J. Dyson, A. Lenard, Stability of matter, I, J. Math. Phys. 8, 423-434 (1967). Zbl0948.81665
  4. [4] J.P. Eckmann, Sur la stabilité de la matière, Lecture notes (unpublished). 
  5. [5] P. Federbush, A new approach to the stability of matter problem, J. Math. Phys. 16, 347-351, 706-709 (1975). MR52 #7384
  6. [6] C.L. Fefferman, The uncertainty principle, Bull. A.M.S. 9, 129-206 (1983). Zbl0526.35080MR85f:35001
  7. [7] C. Fefferman, The atomic and molecular nature of matter, Rev. Math. Iberoamericana 1, 1-44 (1985). Zbl0621.60120MR88g:82011
  8. [8] G.M. Graf, Stability of matter through an electrostatic inequality, Helv. Phys. Acta, to appear. Zbl0864.58067
  9. [9] G.M. Graf, D. Schenker, On the molecular limit of Coulomb gases, Commun. Math. Phys. 174, 215-227, (1995). Zbl0837.58048MR97i:82008
  10. [10] W. Hughes, Thermodynamics for Coulomb systems : A problem at vanishing particle densities, J. Stat. Phys. 41, 975-1013 (1985). Zbl0646.35066MR87d:82019
  11. [11] A. Lenard, in Statistical Mechanics and Mathematical Problems, A. Lenard ed., Springer (1973). Zbl0253.00011MR52 #16416
  12. [12] E.H. Lieb, The stability of matter, Rev. Mod. Phys. 48, 553-569 (1976). MR56 #14314
  13. [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). Zbl1049.82501MR49 #4508
  14. [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. [15] N. Macris, Ph.A. Martin, Ionization equilibrium in the electron proton gas, J. Stat. Phys. 60, 619-637 (1990). Zbl1086.82506MR91m:82013
  16. [16] Ph.A. Martin, Lecture on Fefferman's proof of the atomic and molecular nature of matter. Acta Physica Polonica P24, 751-770 (1993). MR94g:81225
  17. [17] R. Peierls, Surprises in Theoretical Physics, Princeton University Press (1979). MR81g:81002

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.