  We extend the analysis of hep-th/0409063 to the case of a constant electric
field turned on the worldvolume and on a transverse direction of a D-brane. We
show that time localization is still obtained by inverting the discrete
eigenvalues of the lump solution. The lifetime of the unstable soliton is shown
to depend on two free parameters: the b-parameter and the value of the electric
field. As a by-product, we construct the normalized diagonal basis of the star
algebra in $B_{\mu\nu}$-field background.
