Abstract
In this chapter, elastic scattering or diffraction by light particles described in terms of quantum trajectories is carried out. In particular, how the so-called quantum turning points are related to the effective surface corrugation and/or electron density of the surface and how resonance processes can be interpreted in terms of a causal theory. For this end, a minimum background of quantum elastic scattering on surfaces is provided for a better understanding of the problems tackled in the time-independent and time-dependent contexts. It is very instructive to analyze the classical limit of the quantum trajectories by increasing the particle mass in order to see if classical trajectories are ultimately recovered. Finally, a general description of the classical, elastic and inelastic scattering is provided for completeness.
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Notes
- 1.
Due to the translational symmetry of the potential surface, trajectories with impact parameters differing an integer amount of unit cells are identical.
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Sanz, Á.S., Miret-Artés, S. (2014). Atom Scattering from Periodic Surfaces. In: A Trajectory Description of Quantum Processes. II. Applications. Lecture Notes in Physics, vol 831. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-17974-7_6
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