Nonclassical eigenvalue asymptotics for operators of Schrödinger type

Gurarie, David

doi:10.1090/S0273-0979-1986-15488-1

Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2024 MCQ for Bulletin of the American Mathematical Society is 0.84.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

Nonclassical eigenvalue asymptotics for operators of Schrödinger type
HTML articles powered by AMS MathViewer

by David Gurarie PDF

Bull. Amer. Math. Soc. 15 (1986), 233-237

References

Charles L. Fefferman, The uncertainty principle, Bull. Amer. Math. Soc. (N.S.) 9 (1983), no. 2, 129–206. MR 707957, DOI 10.1090/S0273-0979-1983-15154-6
David Gurarie, $L^p$ and spectral theory for a class of global elliptic operators, J. Operator Theory 19 (1988), no. 2, 243–274. MR 960979
Didier Robert, Comportement asymptotique des valeurs propres d’opérateurs du type Schrödinger à potentiel “dégénéré”, J. Math. Pures Appl. (9) 61 (1982), no. 3, 275–300 (1983) (French, with English summary). MR 690397
Barry Simon, Nonclassical eigenvalue asymptotics, J. Funct. Anal. 53 (1983), no. 1, 84–98. MR 715548, DOI 10.1016/0022-1236(83)90047-2
M. Z. Solomyak, Asymptotic behavior of the spectrum of the Schrödinger operator with nonregular homogeneous potential, Mat. Sb. (N.S.) 127(169) (1985), no. 1, 21–39, 142 (Russian). MR 791315