Semiclassical asymptotics for exchange energy

V. Ivrii

Séminaire Équations aux dérivées partielles (Polytechnique) (1993-1994)

  • page 1-10

How to cite


Ivrii, V.. "Semiclassical asymptotics for exchange energy." Séminaire Équations aux dérivées partielles (Polytechnique) (1993-1994): 1-10. <>.

author = {Ivrii, V.},
journal = {Séminaire Équations aux dérivées partielles (Polytechnique)},
keywords = {multiparticle quantum theory; semiclassical spectral asymptotics},
language = {eng},
pages = {1-10},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {Semiclassical asymptotics for exchange energy},
url = {},
year = {1993-1994},

AU - Ivrii, V.
TI - Semiclassical asymptotics for exchange energy
JO - Séminaire Équations aux dérivées partielles (Polytechnique)
PY - 1993-1994
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 10
LA - eng
KW - multiparticle quantum theory; semiclassical spectral asymptotics
UR -
ER -


  1. [FS1] C. Fefferman, L. Seco.The ground state energy of a large atom, Bull. A.M.S23 (1990), 525-530. Zbl0722.35072MR1056556
  2. [FS2] C. Fefferman, L. Seco.On the Dirac and Schwinger corrections to the ground state energy of an atom, Adv. Math. (to appear) Zbl0820.35113MR1283205
  3. [GS] G.M. Graf, P. Solovej.A correlation estimate with applications to quantum systems with Coulomb interactions (to appear). Zbl0843.47041
  4. [11] V. Ivrii.Semiclassical microlocal analysis and precise spectral asymptotics. Chapters 4,10,12 (Preprints 1,7,8), École Polytechnique, (1990-92). Revised version is available by e-mail. 
  5. [12] V. Ivrii.Around Scott correction term(s). Travaux Conf. EDP Sant Jean de Monts (1994)(to appear). Zbl0948.35510MR1298683
  6. [IS] V. Ivrii, I.M. Sigal.Asymptotics of the ground state energies of large Coulomb systems. Ann. Math138 (1993), 243-335. Zbl0789.35135MR1240575
  7. [L] E.H. Lieb.The stability of matter: from atoms to stars (Selecta). Springer-Verlag (1991). 
  8. [S] I.M. Sigal.Lectures on large Coulomb systems (to appear). MR1332037

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