Abstract
We prove a lower bound for the width of Stark resonances in one dimension.
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References
Avron, J. E. and Herbst, I. W., Spectral and scattering theory of Schrödinger operators related to the Stark effect, Comm. Math. Phys. 52, 239–254 (1977).
Harrell, E. and Simon, B., Mathematical theory of resonances, Duke Math. J. 47(4), 845–902 (1980).
Harrell, E. M. II, General lower bounds for resonances in one-dimension, Comm. Math. Phys. 86, 221–225 (1982).
Herbst, I. W. and Simon, B., Dilation analyticity in constant electric field N-body problem, Borel summability, Comm. Math. Phys. 80, 181–216 (1981).
Lakin, W. D. and Sanchez, D. A., Topics in Ordinary Differential Equations, Dover, New York, 1982, p. 46.
Reed, M. and Simon, B., Methods of Mathematical Physics II, Academic Press, New York, 1975, p. 198.
Sigal, I. M., Sharp exponential bounds on resonance states and width of resonances, Adv. in Appl. Math. 9(2), 127–166 (1988).
Sigal, I. M., Stark effect in multielectron systems: Non-existence of bound states, Comm. Math. Phys. 122, 1–22 (1989).
Helffer, B. and Sjöstrand, J., Résonances en limite semi-classique, Bull. Soc. Math. France 114(3), No. 24/25 (1986).
Wiener, N., The Fourier Integral and Certain of its Applications, Dover, New York, 1958, p. 64.