Star product on the Lie coalgebra and its application for calculation of quantum integrals of motion
The article gives an algorithm for constructing quantum integrals of motion on the basis of well-known classic integrals.To construct quantum integrals, we apply star product of the operators' symbols, which is used in the quantization theory.A non-trivial example of the Klein–Fock equation is...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Samara State Technical University
2013-12-01
|
| Series: | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| Subjects: | |
| Online Access: | https://journals.eco-vector.com/1991-8615/article/viewFile/34726/23077 |
| _version_ | 1818024541499162624 |
|---|---|
| author | Anton Sergeevich Popov Igor' Victorovich Shirokov |
| author_facet | Anton Sergeevich Popov Igor' Victorovich Shirokov |
| author_sort | Anton Sergeevich Popov |
| collection | DOAJ |
| description | The article gives an algorithm for constructing quantum integrals of motion on the basis of well-known classic integrals.To construct quantum integrals, we apply star product of the operators' symbols, which is used in the quantization theory.A non-trivial example of the Klein–Fock equation is considered on the four-dimensional Lie group. |
| first_indexed | 2024-12-10T04:01:51Z |
| format | Article |
| id | doaj.art-fbde751316bb4defb412276e4742a6e2 |
| institution | Directory Open Access Journal |
| issn | 1991-8615 2310-7081 |
| language | English |
| last_indexed | 2024-12-10T04:01:51Z |
| publishDate | 2013-12-01 |
| publisher | Samara State Technical University |
| record_format | Article |
| series | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| spelling | doaj.art-fbde751316bb4defb412276e4742a6e22022-12-22T02:02:57ZengSamara State Technical UniversityVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki1991-86152310-70812013-12-0117137938610.14498/vsgtu115531239Star product on the Lie coalgebra and its application for calculation of quantum integrals of motionAnton Sergeevich Popov0Igor' Victorovich Shirokov1Omsk State Technical UniversityOmsk State Technical UniversityThe article gives an algorithm for constructing quantum integrals of motion on the basis of well-known classic integrals.To construct quantum integrals, we apply star product of the operators' symbols, which is used in the quantization theory.A non-trivial example of the Klein–Fock equation is considered on the four-dimensional Lie group.https://journals.eco-vector.com/1991-8615/article/viewFile/34726/23077star productlie groupslie algebrasquantization |
| spellingShingle | Anton Sergeevich Popov Igor' Victorovich Shirokov Star product on the Lie coalgebra and its application for calculation of quantum integrals of motion Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki star product lie groups lie algebras quantization |
| title | Star product on the Lie coalgebra and its application for calculation of quantum integrals of motion |
| title_full | Star product on the Lie coalgebra and its application for calculation of quantum integrals of motion |
| title_fullStr | Star product on the Lie coalgebra and its application for calculation of quantum integrals of motion |
| title_full_unstemmed | Star product on the Lie coalgebra and its application for calculation of quantum integrals of motion |
| title_short | Star product on the Lie coalgebra and its application for calculation of quantum integrals of motion |
| title_sort | star product on the lie coalgebra and its application for calculation of quantum integrals of motion |
| topic | star product lie groups lie algebras quantization |
| url | https://journals.eco-vector.com/1991-8615/article/viewFile/34726/23077 |
| work_keys_str_mv | AT antonsergeevichpopov starproductontheliecoalgebraanditsapplicationforcalculationofquantumintegralsofmotion AT igorvictorovichshirokov starproductontheliecoalgebraanditsapplicationforcalculationofquantumintegralsofmotion |