Nonanalytic Enhancement of a Charge Transfer from Adatom to One dimensional Semiconductor Superlattice and Optical Absorption Spectrum T. Petrosky Ilya Prigogine Center for Studies in Statistical Mechanics and ComplexSystems, The University of Texas at Austin, International Solvey Institute for Physics and Chemistry, Brussels, and National Institute for Fusion Science, Gifu Abstract The charge transfer from an adatom to a semiconductor substrate of one-dimensional quantum dot array is evaluated theoretically. Due to the singularity in the density of electron states at the band edges, the charge transfer decay rate is enhanced non-analytically in terms of the coupling constant g as g4/3. The optical absorption spectrum for the ionization of a core level electron of the adatom to the conduction band is also calculated. A component corresponding to non- Markovian process in the absorption spectrum is explicitly separated from Markovian component in terms of Gamow states (or dual states) that belongs to complex eigenvalues in an extended Hilbert space. (The lecture will be given in Japanese.)