title: |
A Nonrelativistic Chiral Soliton in One Dimension |
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publication: |
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| volume-issue: | 4 - 3-4 | |
| pages: | 261 - 270 | |
ISSN: |
1402-9251 | |
DOI: |
doi:10.2991/jnmp.1997.4.3-4.2 (how to use a DOI) | |
author(s): |
R. JACKIW |
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publication date: |
September 1997 |
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abstract: |
I analyze the one-dimensional, cubic Schrödinger equation with a nonlinearity constructed from the current density rather than, as is usual, from the charge density.
A soliton solution is found, where the soliton moves only in one direction. Relation
to the higher-dimensional ChernSimons theory is indicated. The theory is quantized
and results for the two-body quantum problem agree at weak coupling with those
coming from a semiclassical quantization of the soliton. |
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copyright: |
©
Atlantis Press. This article is distributed under the
terms of the Creative Commons Attribution License, which permits
non-commercial use, distribution and reproduction in any medium,
provided the original work is properly cited. |
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full text: |