Universal properties of simple quantum systems whose classical counter parts are chaotic,
are modeled by the classical random matrix ensembles and their interpolations …

This book a first comprehensive review on statistical spectroscopy deals with two related yet
distinct topics a" averages and fluctuations. While fluctuations have been dealt with in …

Separation between average and fluctuation parts in state density in many-particle quantum
systems with k-body interactions, modelled by the k-body embedded Gaussian orthogonal …

Finite interacting Fermi systems with a mean-field and a chaos generating two-body
interaction are modeled by one plus two-body embedded Gaussian orthogonal ensemble of …

The power spectrum analysis using the Lomb–Scargle false alarm probability statistic shows
a clear separation between the average and fluctuating parts of the state density in …

Statistical nuclear spectroscopy (also called spectral distribution method), introduced by JB
French in late 60's and developed in detail in the later years by his group and many other …

A method for approximating the band shape of molecular electronic transitions based on a
single geometric configuration is described. The band shape is modeled using an empirical …

The bivariate Gaussian form for smoothed strength densities given by statistical
spectroscopy (equivalently by the embedded Gaussian orthogonal ensemble EGOE) is used …

An approach aimed at approximating the extreme (the lowest and/or the highest)
eigenvalues of matrices representing many‐electron model Hamiltonians from a knowledge …

For the embedded Gaussian orthogonal ensemble of random matrices, the strength sums
generated by a transition operator acting on an eigenstate vary with the excitation energy as …