The partition sum of an ideal gas in a random potential

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, , Citation V Bezak 1971 J. Phys. A: Gen. Phys. 4 324 DOI 10.1088/0305-4470/4/3/010

0022-3689/4/3/324

Abstract

The partition sum (the diagonal element of the one-particle density matrix) of a gas of non-interacting boltzons in a random potential is calculated. It is shown that the author's formula for the averaged density matrix must be subject to a minor modification, being multiplied by a correction factor. A considerable simplification of the formula is achieved in a limiting case which was not dealt with previously but may be important enough if one has in mind electrons in amorphous semiconductors.

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10.1088/0305-4470/4/3/010