Physics – Mathematical Physics
Scientific paper
2009-11-13
Physics
Mathematical Physics
9 pages, no figures
Scientific paper
In this paper the transmittance through a quantum wire connected with two electron reservoirs is calculated and non-trivial transformation between the evolution operator method and the Green's function technique is reported. To show this equivalence an analytical nonlinear formula which concerns symmetrical tridiagonal matrices is proofed. This formula connects the cofactor and three determinants of tridiagonal matrices.
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