English

An Initial Value Representation with Complex Trajectories

Quantum Physics 2009-08-14 v1

Abstract

We present an Initial Value Representation for the semiclassical coherent state propagator based on complex trajectories. We map the complex phase space into a real phase space with twice as many dimensions and use a simple procedure to automatically eliminate non-contributing trajectories. The resulting semiclassical formulas do not show divergences due to caustics and provide accurate results.

Cite

@article{arxiv.0908.1875,
  title  = {An Initial Value Representation with Complex Trajectories},
  author = {Marcus A. M. de Aguiar and Silvio A. Vitiello and Adriano Grigolo},
  journal= {arXiv preprint arXiv:0908.1875},
  year   = {2009}
}

Comments

20 pages, 1 figure

R2 v1 2026-06-21T13:35:08.997Z