Erratum: Variational wavefunctions for H+2

Variational and norm criteria in high-order perturbative- variational wavefunctions

The behaviour of high-order perturbative-variational wavefunctions, with one or more free parameters, is studied. A variational criterion, and a criterion based upon variation of the norm of the perturbative approximation function with order, are used for fixing free parameters. For the quartic anharmonic oscillator, both criteria seem to be equivalent. The obtained energies, not only for groun...

Erratum: A Variational Approach to Video Segmentation for Botanical Data

In this erratum, we correct the previous explanation of the data-collection procedure as outlined in [SIAM J. Sci. Comput., 29 (2007), pp. 1550–1566]. DOI. 10.1137/070700036 In [1], the authors incorrectly described the data-collection procedure for capturing the botanical fluorescence data. • In the abstract, the sentence “In order to visualize a particular leaf’s stomatal aperture, an experim...

Wavefunctions for topological quantum registers

We present explicit wavefunctions for quasi-hole excitations over a variety of nonabelian quantum Hall states: the Read-Rezayi states with k ≥ 3 clustering properties and a paired spin-singlet quantum Hall state. Quasi-holes over these states constitute a topological quantum register, which can be addressed by braiding quasi-holes. We obtain the braid properties by direct inspection of the quas...

Wavefunctions for Non-Abelian Vortices

We construct exact wavefunctions of two vortices on a plane, a single vortex on the cylinder and a vortex on the torus. In each case, the physics is shown to be equivalent to a particle moving in a covering space, something simple to solve in those examples. We describe how our solutions fit into the general theory of quantum mechanics of N particles on a two-dimensional space and attribute our...

Erratum