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math-ph2020
Wigner-Smith matrix, exponential functional of the matrix Brownian motion and matrix Dufresne identity
Aurélien Grabsch, Christophe Texier
We consider a multichannel wire with a disordered region of length and a reflecting boundary. The reflection of a wave of frequency is described by the scattering matrix $\…
math-ph2019
Distribution of the Wigner-Smith time-delay matrix for chaotic cavities with absorption and coupled Coulomb gases
Aurélien Grabsch
Within the random matrix theory approach to quantum scattering, we derive the distribution of the Wigner-Smith time delay matrix for a chaotic cavity with uniform abs…
math-ph2018
Wigner-Smith time-delay matrix in chaotic cavities with non-ideal contacts
Aurélien Grabsch, Dmitry V. Savin, Christophe Texier
We consider wave propagation in a complex structure coupled to a finite number of scattering channels, such as chaotic cavities or quantum dots with external leads. Temporal as…