Centre de diffusion de revues académiques mathématiques

 
 
 
 

Journées équations aux dérivées partielles

Table des matières de ce volume | Article précédent | Article suivant
G. Rozenblum; Michael Solomyak
CLR-estimate revisited : Lieb's approach with non path integrals
Journées équations aux dérivées partielles (1997), Exp. No. 16, 10 p., doi: 10.5802/jedp.527
Article PDF | Analyses MR 98m:47029 | Zbl 01808674

Bibliographie

AHSim. Y. Avron, I. Herbst, and B. Simon, Schrödinger operators with magnetic fields. I. General interactions, Duke Math. J. 45 (1978), 847-883. Article |  Zbl 0399.35029
Ca. R. Carmona, Path integrals for relativistic Schrödinger operators, Proc. Nordic Summer School in Math., Lecture Notes Physics 345 (1989), 66-92.  MR 91g:60088 |  Zbl 0712.35069
Co. J. Conlon, A new proof of the Cwickel-Lieb-Rozenbljum bound, Rocky Mountain J. Math. 15 (1985), 117-122.  MR 86j:35118 |  Zbl 0581.35014
Cw. M. Cwikel, Weak type estimates for singular values and the number of bound states of Schrödinger operators, Ann. Math. 106 (1977), 93-100.  MR 57 #13242 |  Zbl 0362.47006
D. I. Daubechies, An uncertainity principle for fermions with generalized kinetic energy, Commun. Math. Phys. 90 (1983), 511-520. Article |  MR 85j:81008 |  Zbl 0946.81521
LevS. D. Levin and M. Solomyak, Rozenblum-Lieb-Cwikel inequality for Markov generators, Jour. d'Anal. Math 71 (1997), 173-193.  MR 98j:47090 |  Zbl 0910.47017
LiY. P. Li and S-T. Yau, On the Schrödinger equation and the eigenvalue problem, Comm. Math. Phys. 88 (1983), 309-318. Article |  MR 84k:58225 |  Zbl 0554.35029
L1. E.H. Lieb, Bounds on the eigenvalues of the Laplace and Schrödinger operators., Bull. of the AMS 82 (1976), 751-753. Article |  MR 53 #11679 |  Zbl 0329.35018
L2. E.H. Lieb, Kinetic energy bounds and their application to the stability of matter, Proc. Nordic Summer School in Math. Lecture Notes Physics 354 (1989), 371-382.  MR 91a:82045 |  Zbl 0698.35134
MRoz. M. Melgaard and G. Rozenblum, Spectral estimates for magnetic operators, Mathematica Scandinavica (to appear). Article |  Zbl 0888.35074
RSim. M. Reed and B. Simon, Methods of Modern Mathematical Physics, vol. 4, Academic Press, New York, San Francisco, London, 1978.  Zbl 0401.47001
Roz. G.V. Rozenblum (Rozenbljum), The distribution of the discrete spectrum for singular differential operators, Dokl. Akad. Nauk SSSR 202 (1972), 1012-1015 (Russian) ; English transl. in Soviet Math. Dokl 13 (1972).  Zbl 0249.35069
RozS. G.V. Rozenblum and M. Solomyak, CLR-estimate for the generators of positivity preserving and positively dominated semigroups, prepint ESI 447 (1997).  Zbl 0911.47025
Sh. M. Shubin, Discrete magnetic Laplacian, Commun. Math. Phys. 164 (1994), 157-172. Article |  MR 97b:82010 |  Zbl 0811.46079
Sim. B. Simon, Functional Integration and Quantum Physics, Academic Press, NY, 1979.  MR 84m:81066 |  Zbl 0434.28013
Copyright Cellule MathDoc 2019 | Crédit | Plan du site