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On the absence of positive eigenvalues for one-body Schrödinger operators. (English) Zbl 0512.35062


MSC:

35P05 General topics in linear spectral theory for PDEs
35J10 Schrödinger operator, Schrödinger equation
35B60 Continuation and prolongation of solutions to PDEs
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References:

[1] Agmon, S., Lower bounds for solutions of Schrödinger equations, J. Analyse Math., 23, 1-25 (1970) · Zbl 0211.40703 · doi:10.1007/BF02795485
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[9] R. Lavine,Constructive estimates in quantum scattering, unpublished manuscript. · Zbl 0999.81084
[10] Levine, H. A.; Knowles, I. W.; Lewis, R. T., On the positive spectrum of Schrödinger operators with long range potentials, Spectral Theory of Differential Operators (1981), Amsterdam: North-Holland, Amsterdam · Zbl 0495.34013
[11] Simon, B., On the positive eigenvalues of one-body Schrödinger operators, Comm. Appl. Math., 22, 531-538 (1969) · Zbl 0167.11003
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