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Volumn 80, Issue 19, 2009, Pages

Statistics of quantum transfer of noninteracting fermions in multiterminal junctions

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EID: 77954728533     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.80.193306     Document Type: Article
Times cited : (6)

References (16)
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    • Master thesis, EPFL, Lausanne
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    • A good practical test of the constraint is obtained by restricting ui to a one-parameter family ui = ai z+ bi for some fixed sets of real numbers ai and bi with the condition that all ai ≥ 0 (nothing is assumed about bi). Then the equation χ (z) =0 must either have only real roots z or be identically satisfied for all z. This form of the constraint is convenient for numerical tests by using a large number of randomly chosen vectors ai and bi.
    • A good practical test of the constraint is obtained by restricting u i to a one-parameter family u i = a i z + b i for some fixed sets of real numbers a i and b i with the condition that all a i ≥ 0 (nothing is assumed about b i). Then the equation χ (z) = 0 must either have only real roots z or be identically satisfied for all z. This form of the constraint is convenient for numerical tests by using a large number of randomly chosen vectors a i and b i.


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