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Автор N S Witte
Дата выпуска 1998-01-16
dc.description The exact solution to the problem of reflection and diffraction of atomic de Broglie waves by a travelling evanescent wave is found starting with a bare-state formulation. The solution for the wavefunctions, the tunnelling losses and the non-adiabatic losses are given exactly in terms of hyper-Bessel functions, and are valid for all detuning and Rabi frequencies, thus generalizing previous approximate methods. Furthermore, we give the limiting cases of the amplitudes in the uniform semiclassical limit, which is valid in all regions including near the classical turning points, and in the large and weak coupling cases. Exact results for the zero detuning case are obtained in terms of Bessel functions. We find our uniform semiclassical limit to be closer to the exact result over the full range of parameter values than the previously reported calculations.
Формат application.pdf
Издатель Institute of Physics Publishing
Название Exact solution for the reflection and diffraction of atomic de Broglie waves by a travelling evanescent laser wave
Тип paper
DOI 10.1088/0305-4470/31/2/034
Print ISSN 0305-4470
Журнал Journal of Physics A: Mathematical and General
Том 31
Первая страница 807
Последняя страница 832
Аффилиация N S Witte; Research Centre for High Energy Physics, School of Physics, University of Melbourne, Parkville, Victoria 3052, Australia; Institute of Mathematical Sciences, CIT Campus, Taramani Chennai 600113, India
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