Hidden symmetries of the two-particle dirac equation with linear interaction
We investigate Lie and non-Lie symmetries of the two-particle Dirac equation with linear interaction in the one-dimensional case. The integrals of motion and hidden parasupersymmetries are found. By using algebraic method and non-Lie symmetries, we obtain the energy spectra of the considered system
Saved in:
| Date: | 1996 |
|---|---|
| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
1996
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5244 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: |  |
Institution
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511456355680256 |
|---|---|
| author | Tretynyk, V. V Третиник, В. В. |
| author_facet | Tretynyk, V. V Третиник, В. В. |
| author_sort | Tretynyk, V. V |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T21:28:19Z |
| description | We investigate Lie and non-Lie symmetries of the two-particle Dirac equation with linear interaction in the one-dimensional case. The integrals of motion and hidden parasupersymmetries are found. By using algebraic method and non-Lie symmetries, we obtain the energy spectra of the considered system |
| first_indexed | 2026-03-24T03:13:11Z |
| format | Article |
| fulltext |
0142
0143
0144
|
| id | umjimathkievua-article-5244 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T03:13:11Z |
| publishDate | 1996 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/2e/21abd08e1f7932612a1ba4939a27db2e.pdf |
| spelling | umjimathkievua-article-52442020-03-18T21:28:19Z Hidden symmetries of the two-particle dirac equation with linear interaction Приховані симетрії двочастинкового рівняння Дірака з лінійною взаємодією Tretynyk, V. V Третиник, В. В. We investigate Lie and non-Lie symmetries of the two-particle Dirac equation with linear interaction in the one-dimensional case. The integrals of motion and hidden parasupersymmetries are found. By using algebraic method and non-Lie symmetries, we obtain the energy spectra of the considered system Досліджено ліївські та неліївські симетрії двочастинкового рівняння Дірака з лінійною взаємодією в одному вимірі. Знайдено інтеграли руху та приховані парасуперсиметрії цього рівняння. Одержано енергетичний спектр даної системи з використанням алгебраїчного методу та неліївських симетрій. Institute of Mathematics, NAS of Ukraine 1996-09-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5244 Ukrains’kyi Matematychnyi Zhurnal; Vol. 48 No. 9 (1996); 1295–1296 Український математичний журнал; Том 48 № 9 (1996); 1295–1296 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/5244/7181 https://umj.imath.kiev.ua/index.php/umj/article/view/5244/7182 Copyright (c) 1996 Tretynyk V. V |
| spellingShingle | Tretynyk, V. V Третиник, В. В. Hidden symmetries of the two-particle dirac equation with linear interaction |
| title | Hidden symmetries of the two-particle dirac equation with linear interaction |
| title_alt | Приховані симетрії двочастинкового рівняння Дірака з лінійною
взаємодією |
| title_full | Hidden symmetries of the two-particle dirac equation with linear interaction |
| title_fullStr | Hidden symmetries of the two-particle dirac equation with linear interaction |
| title_full_unstemmed | Hidden symmetries of the two-particle dirac equation with linear interaction |
| title_short | Hidden symmetries of the two-particle dirac equation with linear interaction |
| title_sort | hidden symmetries of the two-particle dirac equation with linear interaction |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5244 |
| work_keys_str_mv | AT tretynykvv hiddensymmetriesofthetwoparticlediracequationwithlinearinteraction AT tretinikvv hiddensymmetriesofthetwoparticlediracequationwithlinearinteraction AT tretynykvv prihovanísimetríídvočastinkovogorívnânnâdírakazlíníjnoûvzaêmodíêû AT tretinikvv prihovanísimetríídvočastinkovogorívnânnâdírakazlíníjnoûvzaêmodíêû |