A Nonrelativistic Chiral Soliton in One Dimension
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...
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| Other Authors: | |
| Format: | Article |
| Language: | English |
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Springer Netherlands
2024
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| Online Access: | https://hdl.handle.net/1721.1/153351 |
| _version_ | 1826193797155913728 |
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| author | Jackiw, R. |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Jackiw, R. |
| author_sort | Jackiw, R. |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T09:45:33Z |
| format | Article |
| id | mit-1721.1/153351 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T09:45:33Z |
| publishDate | 2024 |
| publisher | Springer Netherlands |
| record_format | dspace |
| spelling | mit-1721.1/1533512024-07-11T19:01:13Z A Nonrelativistic Chiral Soliton in One Dimension Jackiw, R. Massachusetts Institute of Technology. Center for Theoretical Physics 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. 2024-01-16T22:44:35Z 2024-01-16T22:44:35Z 1997-09-01 2024-01-14T04:12:25Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/153351 Jackiw, R. 1997. "A Nonrelativistic Chiral Soliton in One Dimension." PUBLISHER_CC en https://doi.org/10.2991/jnmp.1997.4.3-4.2 Creative Commons Attribution Noncommercial http://creativecommons.org/licenses/by-nc/4.0 Mathematical Ukraina Publisher application/pdf Springer Netherlands Springer Netherlands |
| spellingShingle | Jackiw, R. A Nonrelativistic Chiral Soliton in One Dimension |
| title | A Nonrelativistic Chiral Soliton in One Dimension |
| title_full | A Nonrelativistic Chiral Soliton in One Dimension |
| title_fullStr | A Nonrelativistic Chiral Soliton in One Dimension |
| title_full_unstemmed | A Nonrelativistic Chiral Soliton in One Dimension |
| title_short | A Nonrelativistic Chiral Soliton in One Dimension |
| title_sort | nonrelativistic chiral soliton in one dimension |
| url | https://hdl.handle.net/1721.1/153351 |
| work_keys_str_mv | AT jackiwr anonrelativisticchiralsolitoninonedimension AT jackiwr nonrelativisticchiralsolitoninonedimension |