Joint moments of proper delay times

Abstract

We calculate negative moments of the $N$-dimensional Laguerre distribution for the orthogonal, unitary, and symplectic symmetries. These moments correspond to those of the proper delay times, which are needed to determine the statistical fluctuations of several transport properties through classically chaotic cavities, like quantum dots and microwave cavities with ideal coupling.

References in corpus (6)

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• Attosecond time delay in the photoionization of endohedral atoms A@C${}_{60}$: A new probe of confinement resonances
• Time-delay matrix, midgap spectral peak, and thermopower of an Andreev billiard
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Cited by in corpus (9)

• Wigner time delay and related concepts -- Application to transport in coherent conductors
• Efficient semiclassical approach for time delays
• Wigner-Smith time-delay matrix in chaotic cavities with non-ideal contacts
• Integer moments of complex Wishart matrices and Hurwitz numbers
• Statistics of time delay and scattering correlation functions in chaotic systems I. Random Matrix Theory
• Time delay statistics for finite number of channels in all symmetry classes
• Semiclassical approach to $S$ matrix energy correlations and time delay in chaotic systems
• Semiclassical calculation of time delay statistics in chaotic quantum scattering
• Delay times in chaotic quantum systems