On minimal eigenvalues of Schrödinger operators on manifolds

Communications in Mathematical Physics

Volumn 217, Issue 2, 2001, Pages 375-382

  Freitas, Pedro ^a  

^a INSTITUTO SUPERIOR TÉCNICO   (Portugal)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035529879     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200100365     Document Type: Article

References (8)

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3. [CF] Chavel, I. and Feldman, E.A.: Spectra of domains in compact manifolds. J. Funct. Anal. 30, 198-222 (1978)
4. [EI] El Soufi, A. and Ilias, S.: Second eigenvalue of Schrödinger operators and mean curvature. Commun. Math. Phys. 208, 761-770 (2000)
5. [EHL] Exner, P., Harrell, E.M. and Loss, M.: Optimal eigenvalues for some Laplacians and Schrödinger operators depending on curvature. Mathematical results in quantum mechanics (Prague 1998). Oper. Theory Adv. Appl. 108, pp. 47-58
6. [HL] Harrell, E.M. and Loss, M.: On the Laplace operator penalized by mean curvature. Commun. Math. Phys. 195, 643-650 (1998)
7. [Ka] Kato, T.: Perturbation theory for linear operators. Berlin-Heidelberg-New York: Springer, 1966
8. [Ke] Keller, J.B.: Lower bounds and isoperimetric inequalities for eigenvalues of the Schrödinger equation. J. Math. Phys. 2, 262-266 (1961)