@incollection{AST_1992__210__75_0, author = {Boutet de Monvel-Berthier, Anne and Georgescu, Vladimir}, title = {Graded $C^\ast$-algebras and many-body perturbation theory : {II.} {The} {Mourre} estimate}, booktitle = {M\'ethodes semi-classiques Volume 2 - Colloque international (Nantes, juin 1991)}, series = {Ast\'erisque}, pages = {75--96}, publisher = {Soci\'et\'e math\'ematique de France}, number = {210}, year = {1992}, language = {en}, url = {http://archive.numdam.org/item/AST_1992__210__75_0/} }
TY - CHAP AU - Boutet de Monvel-Berthier, Anne AU - Georgescu, Vladimir TI - Graded $C^\ast$-algebras and many-body perturbation theory : II. The Mourre estimate BT - Méthodes semi-classiques Volume 2 - Colloque international (Nantes, juin 1991) AU - Collectif T3 - Astérisque PY - 1992 SP - 75 EP - 96 IS - 210 PB - Société mathématique de France UR - http://archive.numdam.org/item/AST_1992__210__75_0/ LA - en ID - AST_1992__210__75_0 ER -
%0 Book Section %A Boutet de Monvel-Berthier, Anne %A Georgescu, Vladimir %T Graded $C^\ast$-algebras and many-body perturbation theory : II. The Mourre estimate %B Méthodes semi-classiques Volume 2 - Colloque international (Nantes, juin 1991) %A Collectif %S Astérisque %D 1992 %P 75-96 %N 210 %I Société mathématique de France %U http://archive.numdam.org/item/AST_1992__210__75_0/ %G en %F AST_1992__210__75_0
Boutet de Monvel-Berthier, Anne; Georgescu, Vladimir. Graded $C^\ast$-algebras and many-body perturbation theory : II. The Mourre estimate, in Méthodes semi-classiques Volume 2 - Colloque international (Nantes, juin 1991), Astérisque, no. 210 (1992), pp. 75-96. http://archive.numdam.org/item/AST_1992__210__75_0/
[ABG1] Notes on the -Body Problem, I, Preprint Université de Genève, UGVA-DPT 1988/11-598.
, and ,[ABG2] Notes on the -Body Problem, II, Preprint Université de Genève, UGVA-DPT 1991/04-718, p.164-424.
, and ,[BG1] Graded -Algebras and Many-Body Perturbation Theory. I. The -Body Problem, C. R. Acad. Sci. Paris, 312, Serie I, p.477-482, 1991.
and ,[BG2] Graded -Algebras in the -Body Problem, J. Math. Phys., 32, n° 11 (1991), p.3101-3110.
and ,[BGM] Locally Smooth Operators and the Limiting Absorption Principle for N-Body Hamiltonians, Rev. in Math. Phys. (1992), to appear - preprint Universität Bielefeld, BIBOS, n°433/1990, p.1-101].
, and ,[C] On the Compactness of Commutators of Multiplications and Convolutions, and Boundedness of Pseudo-Differential Operators, J. Funct. Analysis, 18 (2) (1975), p.115-132.
,[D1] A New Proof of the Propagation Theorem for N-Body Quantum Systems, Comm. Math Phys., 122 (1989), p.203-231.
,[D2] The Mourre Estimate for Dispersive N-Body Schrödinger Operators, Preprint Virginia Polytechnic Institute, 1988.
,[C] The Mourre Estimate for Regular Dispersive Systems, Ann. Inst. Henri Poincaré, 54 (1) (1991), p.59-88.
,[FH] A New Proof of the Mourre Estimate, Duke Math J., 49 (1982), p.1075-1085.
and ,[HP] Functional Analysis and Semi-groups, Amer. Math. Soc., Providence, R.I. 1957.
and ,[PSS] Spectral Analysis of -Body Schrödinger Operators, Ann. Math., 114 (1981), p.519-567.
, and ,[S] Geometric Methods in Multiparticle Quantum Systems, Comm. Math. Phys., 55 (1977), p.259-274.
,[T] Propagation Estimates for -body Quantum Systems, Bull. Fac. Sci. Ibaraki Univ., 22 (1990), p.29-48.
,