| Continuum atomic processes initiated by photons and electrons occurring in hot dense plasma are fundamental in plasma physics,playing a key role in the determina-tion of ionization balance,equation of state,and opacity.Recent experimental evidences indicate that the present theories underestimate the continuum process ionization cross sections and rates with unknown reasons in hot dense plasma.Here we propose the no-tion of transient space localization of continuum electron in hot dense plasma,which can significantly modify the fundamental properties of continuum processes.A theoretical formalism is developed to study the wavefunctions of the continuum electrons that takes consideration of the quantum de-coherence caused by coupling with the plasma environ-ment.The method is developed to study the photoionization of Fe16+in hot dense plas-mas,electron impact ionization of Mg7+and Mg9+,Auger of Mg3+1s2s22p6 1S,and electron impact excitation of Mg9+embedded in hot solid density magnesium plasmas.We find that due to continuum electron transient space localization effect,the cross sec-tions and rates are largely enhanced compared with the predictions of the existing isolated-atom model and plasma screening model.This method is also applied to study opacities of iron plasmas embedded in temperature and electron density of 195 eV,4.0×1022cm-3,181 eV,3.1×1022cm-3,169 eV,2.0×1022cm-3,and 164 eV,7.1×1021cm-3.Com-parisons with experimental results indicate that the continuum electron transient space localization effect can explain the big difference between the measured opacity of Fe plasma and the existing standard models for short wavelengths in hot dense plasmas. |