07-221 Rafael Tiedra de Aldecoa

Anisotropic Lavine's formula and symmetrised time delay in scattering theory (268K, pdf) Sep 30, 07

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Abstract. We consider, in quantum scattering theory, symmetrised time delay defined in terms of sojourn times in arbitrary spatial regions symmetric with respect to the origin. For potentials decaying more rapidly than $|x|^{-4}$ at infinity, we show the existence of symmetrised time delay, and prove that it satisfies an anisotropic version of Lavine's formula. The importance of an anisotropic dilations-type operator is revealed in our study.

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