Bohmian mechanics provides an explanation of quantum phenomena in terms of point-like
particles guided by wave functions. This review focuses on the use of nonrelativistic …

Recent years have seen increased interest in complexified Bohmian mechanical trajectory
calculations for quantum systems as both a pedagogical and computational tool. In the latter …

It is shown that the Schrödinger equation for a large family of pairs of two–dimensional
quantum potentials possess wavefunctions for which the amplitude and the phase are …

The quantum Hamilton-Jacobi equation for the action function is approximately solved by
propagating individual Lagrangian quantum trajectories in complex-valued phase space …

We present a new numerical method for computing the pure-point spectrum associated with
the linear stability of coherent structures. In the context of the Evans function shooting and …

Nonlocality is a property of paramount importance both conceptually and computationally
exhibited by quantum systems, which has no classical counterpart. Conceptually, it is …

It is shown that in the complex trajectory representation of quantum mechanics, the Born's
Ψ★ Ψ probability density can be obtained from the imaginary part of the velocity field of …

One-dimensional scattering problems are investigated in the framework of the quantum
Hamilton-Jacobi formalism. First, the pole structure of the quantum momentum function for …

With this Comment, we would like to provide a general discussion on two important issues
arising from a recent work by Goldfarb et al [J. Chem. Phys. 125, 231103 (2006)], which we …

We report an efficient approach to accurately and efficiently compute transmission
probabilities in resonant deep tunneling regime. Dynamical systems subjects to this …