Schematic way to find solution of the outcoupled matter wave with a source term

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T.B. Prayitno

2013 AIP Conference Proceedings Vol. 1554 Conference paper Cited by 1 SDG 7 Quartile

Abstract

We propose a schematic way to obtain solution of the outcoupled atom laser beam wave function in the presence of a source term where the beam is influenced by gravity. In this case, we only focus on the external potentials inside the region of Bose-Einstein condensate that are generated by electromagnetic source and gravity. Since the evolution of the atom laser beam can be portrayed through the ordinary Schrödinger equation with a source, we are allowed to express the general solution as the superposition of the homogeneous solution and particular solution. With the given external potentials and ansatz solutions, we attain that the obtained energy depends on the parameter constituting to the ratio between the longitudinal frequency and transverse frequency. © 2013 AIP Publishing LLC.

Affiliations

Physics Department, Faculty of Mathematics and Natural Science, Universitas Negeri Jakarta, Jakarta, 13220, Jl. Pemuda Rawamangun No. 10, Indonesia

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