 0072 J.E. Avron, A. Elgart, G.M. Graf and L. Sadun
 Geometry, Statistics and Asymptotics of Quantum Pumps
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Feb 14, 00

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Abstract. We give a pedestrian interpretation of a formula of Buttiker
et.al. (BPT) relating the adiabatically pumped current to the
S matrix and its (time) derivatives. We describe the geometric
content of BPT and of the corresponding Brouwer pumping formula.
As applications we derive explicit formulas for the joint
probability density of pumping and conductance in the context of
random matrix theory, and derive an asymptotic formula for hard
pumping in case that the S matrix is periodic in the driving
parameters.
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