General lower bounds for resonances in one dimension

Evans M. Harrell

doi:10.1007/bf01206011

journal article Jun 01, 1982

General lower bounds for resonances in one dimension

Evans M. Harrell

Communications in Mathematical Physics Vol. 86 No. 2 pp. 221-225 · Springer Science and Business Media LLC

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References

7

[1]

Simon, B.: Private communication

[2]

Ashbaugh, M.S., Harrell, E.M.: Perturbation theory for shape resonance and large barrier potentials. Commun. Math. Phys.83, 151–170 (1982) 10.1007/bf01976039

[3]

Reed, M., Simon, B.: Methods of modern mathematical physics. IV. Analysis of operators. New York: Academic Press 1978

[4]

Lavine, R.: Spectral density and sojourn times. In: Atomic scattering theory, Nuttall, J. (ed.). London, Ontario: University of Western Ontario Press 1978

[5]

Newton, R.G.: Scattering theory of waves and particles. New York: McGraw-Hill (1966)

[6]

Hartman, P.: Ordinary differential equations. New York: Wiley 1964

[7]

Reid, W.T.: Ordinary differential equations. New York: Wiley 1971; Properties of solutions of an infinite system of ordinary differential equations of the first order with auxiliary boundary conditions. Trans. Am. Math. Soc.32, 284–318 (1930). In particular, this last article states Gronwall's inequality assuming only that the function multiplying the solution within the integral is nonnegative and integrable

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Published: Jun 01, 1982
Vol/Issue: 86(2)
Pages: 221-225
License: View

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Evans M. Harrell

Cite This Article

Evans M. Harrell (1982). General lower bounds for resonances in one dimension. Communications in Mathematical Physics, 86(2), 221-225. https://doi.org/10.1007/bf01206011

General lower bounds for resonances in one dimension

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