Asymptotic expansion for the widths of resonances in Born–Oppenheimer approximation

Article type: Research Article

Authors: Baklouti, Hamadi

Affiliations: Département de mathématiques, Faculté des sciences de Sfax, Route de soukra Km 3.5, B. P. 1171, 3000, Sfax, Tunisie. E-mail: [email protected]

Abstract: We develop a microlocal study for scalar classical analytic pseudo-differential operators of principal type. Next, we reduce a system of pseudo-differential operators to the normal form. Then we obtain asymptotic expansion and the exact exponential decay rate for the width of resonances arising from microlocal tunneling effect.

Keywords: BKW, analytic pseudo-differential operator, microlocal analysis, asymptotic, resonances

DOI: 10.3233/ASY-2010-0993

Journal: Asymptotic Analysis, vol. 69, no. 1-2, pp. 1-29, 2010