Variational analysis of soliton scattering by external potentials
Dynamics of the width and center-of-mass position of a matter wave soliton subject to interaction with arbitrary external potential is analyzed using the collective coordinates approach. It is shown that approximation of the trial function and external potential only in the interaction region of...
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Main Authors: | , , , |
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Format: | Article |
Language: | English |
Published: |
Institute of Physics Publishing (UK)
2013
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Subjects: | |
Online Access: | http://irep.iium.edu.my/30833/1/Variational_analysis_of_soliton_scattering_by_external_potentials.pdf http://irep.iium.edu.my/30833/ http://iopscience.iop.org/1742-6596/435/1/012024 |
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Summary: | Dynamics of the width and center-of-mass position of a matter wave soliton subject
to interaction with arbitrary external potential is analyzed using the collective coordinates
approach. It is shown that approximation of the trial function and external potential only in
the interaction region of the spatial domain is sufficient for adequate description of the soliton
scattering process. The validity of the developed approach is illustrated for the Gaussian and
P¨oschl-Teller potentials. |
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