A Nonrelativistic Chiral Soliton in One Dimension

DOI

10.2991/jnmp.1997.4.3-4.2How to use a DOI?

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.

Copyright

© 2006, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - R. Jackiw
PY  - 1997
DA  - 1997/09/01
TI  - A Nonrelativistic Chiral Soliton in One Dimension
JO  - Journal of Nonlinear Mathematical Physics
SP  - 261
EP  - 270
VL  - 4
IS  - 3-4
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.1997.4.3-4.2
DO  - 10.2991/jnmp.1997.4.3-4.2
ID  - Jackiw1997
ER  -