Sentence examples for random potentials from inspiring English sources

We discuss the localization behavior of quantum particles in a one-dimensional Anderson model with correlated and uncorrelated random potentials.

In the semiclassical Euclidean setting Sjöstrand [244] obtained precise asymptotic counting results in the case of random potentials.

Then we show that the Boltzmann Gibbs probability distributions generated by logarithmically correlated random potentials provide a simple yet non-trivial example of disorder-induced multifractal measures.

We consider ergodic random Schrödinger operators on the metric graph Zd with random potentials and random boundary conditions taking values in a finite set.

For the other families of random potentials that we study, we show that the corresponding eigenfunctions decay faster than an inverse power of x, which depends upon the decay rate of the single-site potential.

They are hidden random potentials that exist within the objectified, yet extremely complex form of the hypercube.

We disregard the SO interaction induced by the random potential.

Let (VcolonOmegatimes mathbb {R}^{n}to mathbb {R}) be a random potential.

A weakly random potential realized in a given sample corresponds to a specific impurity configuration.

We introduce a random potential w i,j in the QD region.

We study the spectral properties of the magnetic Schrödinger operator with a random potential.