Fig.10-5 (upper) One can understand properties of electrons in a solid, nucleus, nucleon, atomic Fermi gas, neutron star etc. by calculating quantum states of interacting Fermi particles. The figure schematically demonstrates the calculation on the Earth Simulator. First, one sets up known (e.g. non-interacting) quantum states and second, superpose their states via matrix diagonalization in order to contain their interaction. The huge memory size and the high operation speed of the Earth Simulator makes it possible to execute a huge matrix diagonalization.
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