We adopt the concept of the composite parameterization of the unitary group| $\mathcal
{U}(d) $| U (d) to the special unitary group| $\mathcal {SU}(d) $| SU (d)⁠. Furthermore, we …

Given some observable H on a finite-dimensional quantum system, we investigate the
typical properties of random state vectors| ψ ⟩ that have a fixed expectation value ⟨ ψ| H| ψ …

We show numerically that a finite isolated cluster of interacting spins 1/2 exhibits a surprising
nonthermal statistics when subjected to a series of small nonadiabatic perturbations by an …

We consider the notion of equilibration for an isolated quantum system exhibiting Anderson
localization. The system is assumed to be in a pure state, ie, described by a wave-function …

Investigation on foundational aspects of quantum statistical mechanics recently entered a
renaissance period due to novel intuitions from quantum information theory and to …

The response of a quantum system in a pure state to an external force is investigated by
reconsidering the standard statistical approach to quantum dynamics in the light of the …

Despite the quantum nature of molecules, classical mechanics is often employed to describe
molecular motions that play a fundamental role in a wide range of phenomena including …

A system composed of identical spins and described by a quantum mechanical pure state is
analyzed within the statistical framework presented in Part I of this work. We explicitly derive …

Descriptions of molecular systems usually refer to two distinct theoretical frameworks. On the
one hand the quantum pure state, ie, the wavefunction, of an isolated system is determined …

The representation of a quantum system as the spatial configuration of its constituents
evolving in time as a trajectory under the action of the wave-function, is the main objective of …