Symmetries and parametrization of the transfer matrix in electronic quantum transport theory

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Abstract
We analyze for the orthogonal, unitary and symplectic cases the structure of the space where the multiplicative transfer matrix M of a multi-channel elastic scatterer is defined. We parametrize this space with a set of radial parameters, which are related in a simple way to the conductance of the elastic scatterer, and with two auxiliary unitary matrices, whose structure depends on the universality class

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