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

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.
Authors:
 [1]
  1. Physics Department, Faculty of Mathematics and Natural Science, Universitas Negeri Jakarta, Jl. Pemuda Rawamangun No. 10, Jakarta, 13220 (Indonesia)
Publication Date:
OSTI Identifier:
22218069
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 1554; Journal Issue: 1; Conference: PIPS-2013: Padjadjaran international physics symposium 2013: Contribution of physics on environmental and energy conservations, Padjadjaran (Indonesia), 7-9 May 2013; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ATOMS; BOSE-EINSTEIN CONDENSATION; GRAVITATION; LASER RADIATION; MATHEMATICAL SOLUTIONS; POTENTIALS; SCHROEDINGER EQUATION; WAVE FUNCTIONS