DOI: 10.1007/bf01614249. Bounds on the number of eigenvalues of the Schrödinger operator

Bounds on the number of eigenvalues of the Schrödinger operator

10.1007/bf01614249

Crossref journal-article

Springer Science and Business Media LLC

Communications in Mathematical Physics (297)

Bibliography

Glaser, V., Grosse, H., & Martin, A. (1978). Bounds on the number of eigenvalues of the SchrÃ¶dinger operator. Communications in Mathematical Physics, 59(2), 197â212.

Authors 3

V. Glaser (first)
H. Grosse (additional)
A. Martin (additional)

References 14 Referenced 64

Lieb, E.H., Thirring, W.E.: Inequalities for the moments of the eigenvalues of the Schrödinger Hamiltonian and their relation to SOBOLEV Inequalities. In: Studies in mathematical physics, p. 269 (eds. E.H. Lieb, B. Simon, A.S. Wightman). Princeton: Princeton University Press (1976) / Studies in mathematical physics by E.H. Lieb (1976)
Lieb, E.H., Thirring, W.E.: Phys. Rev. Letters35, 687 (1975) (10.1103/PhysRevLett.35.687) / Phys. Rev. Letters by E.H. Lieb (1975)
For reviews see: Simon, B.: In Ref. [1], p. 306 / Studies in mathematical physics by B. Simon (1976)
Martin, A.: CERN Preprint TH. 2294 (1977), to appear in the Proceedings of the Winter School of the Indian National Science Academy (1977)
Martin, A.: A bound on the total number of bound states in a potential. CERN Preprint TH. 2085 (unpublished) (1975)
Rozenblum, G.V.: Soviet Math. Dokl.13, 245 (1972) / Soviet Math. Dokl. by G.V. Rozenblum (1972)
Cwikel, M.: I.A.S. Preprint (1976)
Lieb, E.H.: Bull. Am. Math. Soc.82, 751 (1976) (10.1090/S0002-9904-1976-14149-3) / Bull. Am. Math. Soc. by E.H. Lieb (1976)
Glaser, V., Martin, A., Grosse, H., Thirring, W.: A family of optimal conditions for the absence of bound states in a potential. In Ref. [1], Inequalities for the moments of the eigenvalues of the Schrödinger Hamiltonian and their relation to SOBOLEV Inequalities. In: p. 169 / Studies in mathematical physics by V. Glaser (1976)
Courant, R., Hilbert, D.: Methods of mathematical physics. New York: Interscience Publishers 1953 / Methods of mathematical physics by R. Courant (1953)
Sêto, N.: Publ. RIMS, Kyoto University9, 429 (1974) (10.2977/prims/1195192566) / Publ. RIMS, Kyoto University by N. Sêto (1974)
Birman, M.S.: Am. Math. Soc. Transl., Ser. 2,53, 23 (1966); Schwinger, J.: Proc. Nat. Acad. Sci.47, 122 (1961) / Am. Math. Soc. Transl. by M.S. Birman (1966)
Zakharov, V.E., Faddeev, L.D.: Funct. Anal. Appl.5, 280 (1971) (10.1007/BF01086739) / Funct. Anal. Appl. by V.E. Zakharov (1971)
Fubini, S.: Nuovo Cimento34A, 521 (1976) (10.1007/BF02785664) / Nuovo Cimento by S. Fubini (1976)

Dates

Type	When
Created	20 years, 3 months ago (April 30, 2005, 11 a.m.)
Deposited	6 years, 3 months ago (May 3, 2019, 12:15 p.m.)
Indexed	1 year, 6 months ago (Feb. 26, 2024, 1:08 p.m.)
Issued	47 years, 2 months ago (June 1, 1978)
Published	47 years, 2 months ago (June 1, 1978)
Published Print	47 years, 2 months ago (June 1, 1978)

Funders 0

None

BibTeX

@article{Glaser_1978, title={Bounds on the number of eigenvalues of the Schrödinger operator}, volume={59}, ISSN={1432-0916}, url={http://dx.doi.org/10.1007/bf01614249}, DOI={10.1007/bf01614249}, number={2}, journal={Communications in Mathematical Physics}, publisher={Springer Science and Business Media LLC}, author={Glaser, V. and Grosse, H. and Martin, A.}, year={1978}, month=jun, pages={197–212} }

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