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Search: MSC category 81U05 ( $2$-body potential scattering theory [See also 34E20 for WKB methods] )

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1. CJM 2001 (vol 53 pp. 756)

Froese, Richard
 Correction to: Upper Bounds for the Resonance Counting Function of SchrÃ¶dinger Operators in Odd Dimensions The proof of Lemma~3.4 in [F] relies on the incorrect equality $\mu_j (AB) = \mu_j (BA)$ for singular values (for a counterexample, see [S, p.~4]). Thus, Theorem~3.1 as stated has not been proven. However, with minor changes, we can obtain a bound for the counting function in terms of the growth of the Fourier transform of $|V|$. Categories:47A10, 47A40, 81U05

2. CJM 1998 (vol 50 pp. 538)

Froese, Richard
 Upper bounds for the resonance counting function of SchrÃ¶dinger operators in odd dimensions The purpose of this note is to provide a simple proof of the sharp polynomial upper bound for the resonance counting function of a Schr\"odinger operator in odd dimensions. At the same time we generalize the result to the class of super-exponentially decreasing potentials. Categories:47A10, 47A40, 81U05