Ultrasmall double junction in terms of orthogonal polynomials

Abstract

The ``orthodox theory'' of a single electron double junction is dealt with. It is shown that the stationary solution of the underlying master equation allows the construction of any time-dependent solution in terms of orthogonal polynomials. The approach pays off if the stationary solution becomes simple. Two special cases are considered. We use the time-dependent solution to calculate the current noise in these cases.

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