The Wigner time delay is a concept of scattering theory. Consider for example the scattering of a particle on some potential localised in space: the time delay is defined as the derivatives of scattering phase shifts with resspect with the energy. In a semiclassical picture, it measures the delay in time caused by the presence of the potential (note that the notion may be formulated in classical scattering theory, cf. S.-K. Ma, Statistical mechanics<\/em>, World Scientific, chapter 14). The Wigner time delay can be related to the variation of the density of states due to the introduction of the scattering potential, through the Krein-Friedel sum rule. Therefore the time delay provides a measure of the density of states in a scattering situation.<\/p>\n A poster : Wigner time delay distribution for one-dimensional random potentials<\/strong>. <\/p>\n (within the multichannel Schr\u00f6dinger equation)<\/i><\/p>\n Scattering by a random potential: Distribution of the Wigner time delay The Wigner time delay is a concept of scattering theory. Consider for example the scattering of a particle on some potential localised in space: the time delay is defined … Continuer la lecture \n
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\nps (1.3MB)<\/a>, pdf (0.5MB)<\/a>.<\/p>\nAlso, cf. the review article:<\/span><\/h4>\n
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\nWigner time delay and related concepts \u2014 Application to transport in coherent conductors
\n<\/strong>Physica E 82<\/strong>, 16-33 (2016)<\/a>, contribution to a special issue \u201cFrontiers in quantum electronic transport \u2013 in memory of Markus B\u00fcttiker<\/em>\u201d
\ncond-mat arXiv:1507.00075<\/a> (arXiv version updated after<\/em> publication in Physica E<\/span>)<\/li>\n<\/ul>\nWigner-Smith time delay matrix and Wigner time delay for semi-infinite multichannel disordered wires<\/h3>\n
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\n Distribution of spectral linear statistics on random matrices beyond the large deviation function \u2014 Wigner time delay in multichannel disordered wires,
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\n<\/i>Wigner-Smith matrix, exponential functional of the matrix Brownian motion and matrix Dufresne identity<\/strong>
\nJ. Phys. A : Math. Theor. 53<\/strong>, 425003 (2020)<\/a>
\nmath-ph arXiv:2002.12077<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"