Abstract
The goal of this chapter is to prove exponentially small upper bounds on the imaginary part of resonances in the semiclassical regime. In Chapters 20 and 21, we proved the stability of a low-lying eigenvalue of finite multiplicity m i ≥ 1, with respect to the perturbation H(λ, θ), Im θ > 0, for all λ sufficiently large.
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© 1996 Springer Science+Business Media New York
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Hislop, P.D., Sigal, I.M. (1996). Theory of Quantum Resonances III: Resonance Width. In: Introduction to Spectral Theory. Applied Mathematical Sciences, vol 113. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0741-2_22
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DOI: https://doi.org/10.1007/978-1-4612-0741-2_22
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-6888-8
Online ISBN: 978-1-4612-0741-2
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