Ionization of Coulomb Systems in {\mathbb{R}^3} by Time Periodic Forcings of Arbitrary Size期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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Ionization of Coulomb Systems in {\mathbb{R}^3} by Time Periodic Forcings of Arbitrary Size

Authors:	O Costin J L Lebowitz S Tanveer

Institution:	1. Department of Mathematics, Ohio State University, 231 West 18th Ave., Columbus, OH, 43210, USA 2. Department of Mathematics, Rutgers University, 110 Frelinghaysen Rd., Piscataway, NJ, 08854, USA 3. Department of Physics, Rutgers University, 136 Frelinghaysen Rd., Piscataway, NJ, 08854, USA

Abstract:	We analyze the long time behavior of solutions of the Schrödinger equation ${i\psi_t=(-\Delta-b/r+V(t,x))\psi}We analyze the long time behavior of solutions of the Schr?dinger equation iy_t=(-D-b/r+V(t,x))y{i\psi_t=(-\Delta-b/r+V(t,x))\psi}, x ? \mathbbR³{x\in\mathbb{R}^3}, r = \|x\|, describing a Coulomb system subjected to a spatially compactly supported time periodic potential V(t, x) = V(t + 2π/ω, x) with zero time average.

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