Exponential convergence of the first eigenvalue divided by the dimension, for certain sequences of Schrödinger operators
Méthodes semi-classiques Volume 2 - Colloque international (Nantes, juin 1991), Astérisque, no. 210 (1992), pp. 303-326. 
@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://www.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://www.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://www.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://www.numdam.org/item/AST_1992__210__303_0/

[HS] B. Helffer, J. Sjöstrand, Semiclassical expansions of the thermodynamic limit for a Schrödinger equation, I. The one well case. Preprint (1991). | MR | Zbl

[K] M. Kac, Mathematical mechanisms of phase transitions. Brandeis Lectures, Gordon and Breach, New York, (1966).

[K2] M. Kac, 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] I. M. Singer, B. Wong, S. T. Yau, S. T. Yau, 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] J. Sjöstrand, Potential wells in high dimensions. Preprint (1991). | Numdam | MR | Zbl

[S2] J. Sjöstrand, Potential wells in high dimensions II. More about the one well case. Preprint (1991). | Numdam | MR | Zbl