positive- and negative-momentum) waves. For one-dimensional (1D) stationary bound states, it can be shown that the resultant bipolar quantum potential $q(x)$ becomes arbitrarily small in the large action limit, even though the number of nodes becomes arbitrarily large. (Note: in accord with the convention established in [Ref. ]{}, upper/lower case will be used to denote the unipolar/bipolar field quantities). In the CFM, the idea is to superpose some well-behaved large-amplitude wave, with the actual ill-behaved (nodal or wildly oscillatory) wave, so as to “dilute” the undesirable numerical ramifications of the latter.

This paper is the second in a series designed to explore the CPWM approach, introduced in paper I. As discussed there in greater detail, there are many motivations for this approach, but the primary one is to reconcile the semiclassical and Bohmian theories, in a manner that preserves the best features of both, and also satisfies the correspondence principle. For our purposes, this means that the Lagrangian manifolds (LMs) for the two theories should become identical in the large action limit (Sec. \[scattering\]). As described above, a key benefit of the CPWM decomposition is an elegant treatment of interference, the chief source of nodes and “quasi-nodes”[@wyatt] (i.e. rapid oscillations) 