A percolation process concerned with the properties of quantum mechanical particles moving in a random medium is investigated numerically. The random characteristics of the medium are introduced in the same manner as in the classical method: in the site problem, any site has a fixed probability x of being unblocked, whereas in the bond problem, any bond has a fixed probability p of being unblocked. If x c Q (or p c Q ) is a maximum value of x (or p) for which a quantum mechanical particle attached to any site does not diffuse away, it is shown for both problems on a square lattice that x c Q (p Q c ) is very close to the critical percolation probability in the classical case. The one-particle density of states of such systems is also discussed.
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Odagaki et al. (1980) studied this question.
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