Interplay of causticity and vorticality within the complex quantum Hamilton-Jacobi formalism

Details Interplay of causticity and vorticality within the complex quantum Hamilton-Jacobi formalism Interplay of causticity and vorticality within the complex quantum Hamilton-Jacobi formalism

2007-10-15

arxiv.org/abs/0710.2841v2

Chem. Phys. Lett. 458, 239 (2008)

Physics

Quantum Physics

12 pages, 3 figures

Scientific paper

10.1016/j.cplett.2008.04.103

Interference dynamics is analyzed in the light of the complex quantum Hamilton-Jacobi formalism, using as a working model the collision of two Gaussian wave packets. Though simple, this model nicely shows that interference in quantum scattering processes gives rise to rich dynamics and trajectory topologies in the complex plane, both ruled by two types of singularities: caustics and vortices, where the former are associated with the regime of free wave-packet propagation, and the latter with the collision (interference) process. Furthermore, an unambiguous picture connecting the complex and real frameworks is also provided and discussed.

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