@incollection{AST_1992__210__303_0, author = {Sj\"ostrand, Johannes}, title = {Exponential convergence of the first eigenvalue divided by the dimension, for certain sequences of {Schr\"odinger} operators}, booktitle = {M\'ethodes semi-classiques Volume 2 - Colloque international (Nantes, juin 1991)}, series = {Ast\'erisque}, pages = {303--326}, publisher = {Soci\'et\'e math\'ematique de France}, number = {210}, year = {1992}, mrnumber = {1221365}, zbl = {0796.35123}, language = {en}, url = {http://archive.numdam.org/item/AST_1992__210__303_0/} }
TY - CHAP AU - Sjöstrand, Johannes TI - Exponential convergence of the first eigenvalue divided by the dimension, for certain sequences of Schrödinger operators BT - Méthodes semi-classiques Volume 2 - Colloque international (Nantes, juin 1991) AU - Collectif T3 - Astérisque PY - 1992 SP - 303 EP - 326 IS - 210 PB - Société mathématique de France UR - http://archive.numdam.org/item/AST_1992__210__303_0/ LA - en ID - AST_1992__210__303_0 ER -
%0 Book Section %A Sjöstrand, Johannes %T Exponential convergence of the first eigenvalue divided by the dimension, for certain sequences of Schrödinger operators %B Méthodes semi-classiques Volume 2 - Colloque international (Nantes, juin 1991) %A Collectif %S Astérisque %D 1992 %P 303-326 %N 210 %I Société mathématique de France %U http://archive.numdam.org/item/AST_1992__210__303_0/ %G en %F AST_1992__210__303_0
Sjöstrand, Johannes. Exponential convergence of the first eigenvalue divided by the dimension, for certain sequences of Schrödinger operators, dans Méthodes semi-classiques Volume 2 - Colloque international (Nantes, juin 1991), Astérisque, no. 210 (1992), pp. 303-326. http://archive.numdam.org/item/AST_1992__210__303_0/
[HS] Semiclassical expansions of the thermodynamic limit for a Schrödinger equation, I. The one well case. Preprint (1991). | MR | Zbl
, ,[K] Mathematical mechanisms of phase transitions. Brandeis Lectures, Gordon and Breach, New York, (1966).
,[K2] Statistical mechanics of some one dimensional systems. Studies in Math. An. and Rel. Top. : essays in hon. of G. Polya, Stanford Univ. Press, Stanford, California, 165-169, (1962). | MR | Zbl
,[SiWYY] An estimate for the gap of the first two eigenvalues of the Schrödinger operator. Ann. di Sc. Norm. Sup. di Pisa, Ser. IV, 319-333, 12 (1985). | EuDML | Numdam | MR | Zbl
, , , ,[S1] Potential wells in high dimensions. Preprint (1991). | Numdam | MR | Zbl
,[S2] Potential wells in high dimensions II. More about the one well case. Preprint (1991). | Numdam | MR | Zbl
,