Schrodinger dynamics as a two-phase conserved flow: an alternative trajectory construction of quantum propagation

Details Schrodinger dynamics as a two-phase conserved flow: an alternative trajectory construction of quantum propagation Schrodinger dynamics as a two-phase conserved flow: an alternative trajectory construction of quantum propagation

2008-07-28

arxiv.org/abs/0807.4482v2

J.Phys.A42:075307,2009

Physics

Quantum Physics

To appear in J. Phys. A

Scientific paper

10.1088/1751-8113/42/7/075307

It is shown that the Schrodinger equation can be cast in the form of two coupled real conservation equations, in Euclidean spacetime in the free case and in a five-dimensional Eisenhart geometry in the presence of an external potential. This implies a novel two-phase quantum hydrodynamic model whose Lagrangian picture provides an exact scheme to calculate the time-dependent wavefunction from a continuum of deterministic trajectories where two points are linked by at most two orbits. Properties of the model are examined, including the appearance of entangled trajectories in separable states. Wavefunction constructions employing alternative two-phase models are proposed.

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