Sentence examples for decaying potentials from inspiring English sources

Then, we give some applications to the original Schrödinger operators including one-dimensional Schrödinger operators with L2-operator-valued potentials, multidimensional Schrödinger operators with slowly decaying potentials.

For a class of negative slowly decaying potentials, including V x):="−γ|x|−μ with 0<μ<2, we study the quantum mechanical scattering theory in the low-energy regime.

We now discuss faster decaying potentials.

We consider a class of Schrödinger operators with complex decaying potentials on the lattice.

For (nu =1) with exponentially decaying potentials, the behavior was analyzed by Bollé et al. [63, 64] and, in general, by Jensen Nenciu [289].

The same result is also proven for some classes of slower decaying potentials if they are smooth.

Helped by the analysis of the band functions, we show that for slow decaying potential an infinite number of negative eigenvalues are created whereas only finite number of eigenvalues appear for fast decaying potential.

Note that the right hand sides of both estimates can be finite only in the case where V is an exponentially decaying potential.

Species with high plant decay potential belonging to Longidoridae, Heteroderidae, Hoplolaimidae, Meloidogynidae, Paratylenchidae and Pratylenchidae are present in the argan forest.

A simplified analytical model, employing screened, exponentially decaying polarization potentials, localized at the edges of a QW, is introduced for the ES-shielded quantum confined Stark effect (QCSE).

b Exponentially decaying deceleration potentials applied to electrodes 3 and 4. The horizontal axis represents the time after photoexcitation Fig. 18 Acceleration and relative position of atoms during deceleration and trap loading.