Sentence examples for arbitrary potentials from inspiring English sources

This program allows the accurate discretization of systems with multiple fermions subject to arbitrary potentials, e.g., for verifying the accuracy of multi-particle approximations such as Hartree Fock in the few-particle limit.

By invoking well-known results related to projections in Hilbert spaces, closest approximations of arbitrary potentials to standard (e.g. Ogden-type) models are subsequently defined and characterized by appropriate residuals.

Given an arbitrary potential, by introducing the parameterized potentials,, Theorem 1.1 can be stated as follows.

We simulated single-particle diffusion in two dimensions in an arbitrary potential, V(r), based on summation of random and potential gradient-driven motions.

For the definition of the scalar product, we select here (7) ( 1 and 2 are arbitrary potential SVs for r = c).

We obtain precise asymptotic results for operators which represent discretized Hamiltonians of one-dimensional quantum systems with arbitrary continuous potentials.

For other types of LC SLMs the switch rate ranges in several hundreds of Hz, but they can achieve a variety of arbitrary force potentials.

These cases validate the accuracy of the TBDE model and provided good confidence that the model can be used as a practical and accurate starting point for quantum transport of GNR-based devices where non-equilibrium and arbitrary electrostatic potentials are involved.

For this reason the sample was aerated and the potential was set to an arbitrary high potential of 1.23 V.

He now focuses on a general Hamiltonian system, i.e., a system of N material points with an arbitrary interaction potential.

The effect of an arbitrary cluster potential is incorporated into the analysis by a variation of parameters procedure.