Quantum reflection and Liouville transformations from wells to walls

Abstract

Liouville transformations map in a rigorous manner one Schrödinger equation into another, with a changed scattering potential. They are used here to transform quantum reflection of an atom on an attractive well into reflection of the atom on a repulsive wall. While the scattering properties are preserved, the corresponding semiclassical descriptions are completely different. A quantitative evaluation of quantum reflection probabilities is deduced from this method.

References in corpus (5)

• Low velocity quantum reflection of Bose-Einstein condensates
• The Casimir force and the quantum theory of lossy optical cavities
• Interaction of Ultracold Antihydrogen with a Conducting Wall
• Coherent reflection of He atom beams from rough surfaces at near-grazing incidence
• Quantum reflection and Liouville transformations from wells to walls

Cited by in corpus (3)

• Quantum reflection of antihydrogen from a liquid helium film
• Quantum reflection and Liouville transformations from wells to walls
• Liouville transformations and quantum reflection