@article{JEDP_1994____A7_0,
author = {Nenciu, Gheorghe},
title = {On exponential decay of solutions of {Schr\"odinger} and {Dirac} equations : bounds of eigenfunctions corresponding to energies in the gaps of essential spectrum},
journal = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
eid = {7},
publisher = {\'Ecole polytechnique},
year = {1994},
doi = {10.5802/jedp.462},
zbl = {0948.35506},
language = {en},
url = {https://jedp.centre-mersenne.org/articles/10.5802/jedp.462/}
}
Gheorghe Nenciu. On exponential decay of solutions of Schrödinger and Dirac equations : bounds of eigenfunctions corresponding to energies in the gaps of essential spectrum. Journées équations aux dérivées partielles (1994), article no. 7, 10 p. doi : 10.5802/jedp.462. https://jedp.centre-mersenne.org/articles/10.5802/jedp.462/
[A] , Lecture on Exponential decay of Solutions of Second Order Elliptic Equations : Bounds on Eigenfunctions of N- body Schrödinger Operators, Princeton, Princeton University Press, 1982. | Zbl 0503.35001
[BG] and , On the point spectrum of Dirac operators, J. Funct. Analysis 71, 309-338 (1987). | MR 89b:35131 | Zbl 0655.47043
[BNN] , and , Perturbed periodic hamiltonians : essential spectrum and exponential decay of solutians, submitted to Lett. in Math. Phys.
[BCD] , and , Spectral stability under tunneling, Comm. Math. Phys. 126, 133 (1989) | MR 91e:35154 | Zbl 0702.35189
[C] , An infinite number of wells in the semiclasical limit, Asymp. Analysis 3, 189-214 (1989). | Zbl 0727.35094
[CT] and , Asymptotic behaviour of eigenfunctions for multiparticle Schrödinger operators, Commun. Math. Phys. 34, 251-270 (1973). | MR 52 #12611 | Zbl 0271.35062
[CFKS] , , and , Schrödinger operators, Berlin, Springer 1987. | Zbl 0619.47005
[D] , Equation de Schrödinger dans l'aproximation du tightbinding, Thse, Universit de Nantes, 1990.
[FH3O2] , , and , L2-exponential lower bounds to solutions of the Schrödinger equation, Commun. Math. Phys. 87, 265-268 (1982). | MR 84c:35034 | Zbl 0514.35024
[GT] and , Elliptic Partial Differential equations of Second Order, 2nd edition, New York, Springer 1983. | MR 86c:35035 | Zbl 0562.35001
[HN] and , Decroisance a l'infini des functions propres de l'operator de Schrödinger avec champ electromagnetique polynomial, J. d'Analyse Math. 58, 263-275 (1992). | MR 95e:35049 | Zbl 0814.35080
[HS1] and , Multiple wells in the semiclassical limit, Commun. PDE 9, 337-408 (1984). | MR 86c:35113 | Zbl 0546.35053
[HS2] and , Multiple wells in the semi-classical limit III. Interactions through non-resonant wells, Math. Nacht. 124, 263-313 (1985). | MR 87i:35161 | Zbl 0597.35023
[HS3] and , Effect tunnel pour l'equation de Schrödinger avec champ magnetique, Annali Scuola Normale Sup. Pisa 14, 625-657 (1987). | EuDML 84021 | Numdam | MR 91c:35043 | Zbl 0699.35205
[H1] , Lower bounds in cones for solutions to the Schrödinger equation, J. d'Analyse Math. 47, 151-174 (1986). | MR 88c:35044 | Zbl 0627.35022
[H2] , Perturbation theory for the decay rate of eigenfunctions in the generalised N-body problem, Commun. Math. Phys. 158, 517-536 (1993). | MR 95e:81244 | Zbl 0819.35105
[MP] and , Approximation des valeurs propres de certaines perturbations singuliers et applications a l'operator de Dirac, Ann. Inst. Henri Poincar 56, 235-277 (1992). | EuDML 76567 | Numdam | Zbl 0755.35106
[RS] and , Methods of Modern Mathematical Physics IV : Analysis of Operators, New York, Academic 1978. | MR 58 #12429c | Zbl 0401.47001
[W] , Puits multiples pour l'operator de Dirac, Ann. Inst. Henri Poincar 43, 269-319 (1985). | EuDML 76302 | Numdam | Zbl 0614.35074
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