Asymptotic expansions in the Born-Oppenheimer approximation

André Martinez

Journées équations aux dérivées partielles (1988)

  • page 1-4
  • ISSN: 0752-0360

How to cite


Martinez, André. "Développements asymptotiques dans l'approximation de Born-Oppenheimer." Journées équations aux dérivées partielles (1988): 1-4. <>.

author = {Martinez, André},
journal = {Journées équations aux dérivées partielles},
keywords = {asymptotic expansions; Born-Oppenheimer approximation; WKB-expansion},
language = {fre},
pages = {1-4},
publisher = {Ecole polytechnique},
title = {Développements asymptotiques dans l'approximation de Born-Oppenheimer},
url = {},
year = {1988},

AU - Martinez, André
TI - Développements asymptotiques dans l'approximation de Born-Oppenheimer
JO - Journées équations aux dérivées partielles
PY - 1988
PB - Ecole polytechnique
SP - 1
EP - 4
LA - fre
KW - asymptotic expansions; Born-Oppenheimer approximation; WKB-expansion
UR -
ER -


  1. [Bo-Op] M. BORN-R. OPPENHEIMER, Zur quantentheorie der Molekeln, Annalen der Physik, 84, (1927), 457. JFM53.0845.04
  2. [CDS] J.P. COMBES-P. DUCLOS-R. SEILER, The Born-Oppenheimer approximation, Rigorous atomic and molecular physics (eds G. Velo, A. Wightman), p. 185-212, New-York : Plenum 1981. 
  3. [Ha] G.A. HAGEDORN, High order corrections to the time independant Born-Oppenheimer approximation I : smooth potentials, Annals of Math. 124, (1986), p. 571-590 [erratum 126 (1987), p. 219]. Zbl0619.35094
  4. [He-Sj] B. HELFFER-J. SJÖSTRAND, Multiple wells in the semiclassical limit I, Comm. P.D.E., 9(4), (1984), 337-408. Zbl0546.35053MR86c:35113
  5. [Ma] A. MARTINEZ, Développements asymptotiques et effet tunnel dans l'approximation de Born-Oppenheimer, Preprint Univ. Paris-Sud, (1988). Zbl0689.35063

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