Voir la notice de l'article provenant de la source Cambridge University Press
Taylor, Michael. Scattering Length and the Spectrum of –Δ + V. Canadian mathematical bulletin, Tome 49 (2006) no. 1, pp. 144-151. doi: 10.4153/CMB-2006-015-5
@article{10_4153_CMB_2006_015_5,
author = {Taylor, Michael},
title = {Scattering {Length} and the {Spectrum} of {{\textendash}\ensuremath{\Delta}} + {V}},
journal = {Canadian mathematical bulletin},
pages = {144--151},
year = {2006},
volume = {49},
number = {1},
doi = {10.4153/CMB-2006-015-5},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2006-015-5/}
}
[F] Friedrichs, K., Spektraltheorie halbbeschränkter Operatoren und Anwendung auf die Spektralzerlegung von Differentialoperatoren. Math. Ann. 109(1934), 465–487, 685–713. Google Scholar
[K] Kac, M., Probabilistic methods in some problems of scattering theory. Rocky Mountain J. Math. 4(1974), 511–537. Google Scholar
[KL] Kac, M. and Luttinger, J., Scattering length and capacity. Ann. Inst. Fourier 25(1975), no. 3–4, 317–321. Google Scholar
[KS] Kondrat’ev, V. and Shubin, M., Discreteness of spectrum for the Schrødinger operators on manifolds with bounded gaometry. Oper. Theory Adv. Appl. 110, Birkhauser, Basel, 1999, pp. 185–226. Google Scholar
[MS] Maz’ya, V. and Shubin, M., Discreteness of spectrum and positivity criteria for Schrödinger operators. Ann. Math. 162(2005), 919–942. Google Scholar
[Mol] Molchanov, A., On conditions for the discreteness of the spectrum conditions for self-adjoint differential equations of the second order. Proc. Moscow Math. Soc. 2(1953), 169–199. (Russian) Google Scholar
[T] Taylor, M., Scattering length and perturbations of Δ by positive potentials. J. Math. Anal. Appl. 53(1976), no. 2, 291–312. Google Scholar
Cité par Sources :