Physical of Warm Dense Matters

Continuous progress of compute capability, DFT has been used to study complicated physics of warm-dense matter (WDM) to compared to a variety of experimental results in laboratories obtained by compression and heating of solids with intense lasers. The phase transition of insulator-metal of hydrogen is now hot topics in high-pressure physics (HPP). Advancement of laser technology and diagnostics have made such challenging subjects as precision science. In twenty-first century, x-ray free electron laser (XFEL) facilities have been constructed as users’ facility. XFEL is new method to precision diagnostics of dense matters via x-ray Thomson scattering (XRTS). For bridging the experiment and theory to analyze XRTS data, Chihara formulated scattering spectra by decomposing three dynamical structure factors (DSF). Now, time-dependent DFT (TDDFT) is also solved with supercomputer to apply laser-matter interaction in quantum world. In this chapter, whole stories and models are explained and some examples are explained regarding the application to analyze experimental data obtained with intense lasers and XFEL.