A Nonrelativistic Chiral Soliton in One Dimension
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44198_1997_Article_403002.pdf
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191.68 KB
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Author(s)
Jackiw, R.
Date Issued
September 1, 1997
Publisher
Springer Netherlands
Citation
Jackiw, R. 1997. "A Nonrelativistic Chiral Soliton in One Dimension."
Version
Final published version
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 Chern—Simons 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.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Terms of Use
Creative Commons Attribution Noncommercial
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.2991/jnmp.1997.4.3-4.2
