Qualitative Analysis of the Classical and Quantum Manakov Top
Qualitative features of the Manakov top are discussed for the classical and quantum versions of the problem. Energy-momentum diagram for this integrable classical problem and quantum joint spectrum of two commuting observables for associated quantum problem are analyzed. It is demonstrated that the...
Gespeichert in:
| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Datum: | 2007 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут математики НАН України
2007
|
| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/147817 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Qualitative Analysis of the Classical and Quantum Manakov Top / E. Sinitsyn, B. Zhilinskii // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 36 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862732652046450688 |
|---|---|
| author | Sinitsyn, E. Zhilinskii, B. |
| author_facet | Sinitsyn, E. Zhilinskii, B. |
| citation_txt | Qualitative Analysis of the Classical and Quantum Manakov Top / E. Sinitsyn, B. Zhilinskii // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 36 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | Qualitative features of the Manakov top are discussed for the classical and quantum versions of the problem. Energy-momentum diagram for this integrable classical problem and quantum joint spectrum of two commuting observables for associated quantum problem are analyzed. It is demonstrated that the evolution of the specially chosen quantum cell through the joint quantum spectrum can be defined for paths which cross singular strata. The corresponding quantum monodromy transformation is introduced.
|
| first_indexed | 2025-12-07T19:33:13Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-147817 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T19:33:13Z |
| publishDate | 2007 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Sinitsyn, E. Zhilinskii, B. 2019-02-16T08:42:21Z 2019-02-16T08:42:21Z 2007 Qualitative Analysis of the Classical and Quantum Manakov Top / E. Sinitsyn, B. Zhilinskii // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 36 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 37J15; 81V55 https://nasplib.isofts.kiev.ua/handle/123456789/147817 Qualitative features of the Manakov top are discussed for the classical and quantum versions of the problem. Energy-momentum diagram for this integrable classical problem and quantum joint spectrum of two commuting observables for associated quantum problem are analyzed. It is demonstrated that the evolution of the specially chosen quantum cell through the joint quantum spectrum can be defined for paths which cross singular strata. The corresponding quantum monodromy transformation is introduced. This paper is a contribution to the Vadim Kuznetsov Memorial Issue ‘Integrable Systems and Related Topics’. This work was stimulated by the initial discussions with Vadim Kuznetsov. Authors thank Dr. D. Sadovskii for many fruitful discussions and Dr. C. Davison for discussing with us his recent results submitted for publication. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Qualitative Analysis of the Classical and Quantum Manakov Top Article published earlier |
| spellingShingle | Qualitative Analysis of the Classical and Quantum Manakov Top Sinitsyn, E. Zhilinskii, B. |
| title | Qualitative Analysis of the Classical and Quantum Manakov Top |
| title_full | Qualitative Analysis of the Classical and Quantum Manakov Top |
| title_fullStr | Qualitative Analysis of the Classical and Quantum Manakov Top |
| title_full_unstemmed | Qualitative Analysis of the Classical and Quantum Manakov Top |
| title_short | Qualitative Analysis of the Classical and Quantum Manakov Top |
| title_sort | qualitative analysis of the classical and quantum manakov top |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147817 |
| work_keys_str_mv | AT sinitsyne qualitativeanalysisoftheclassicalandquantummanakovtop AT zhilinskiib qualitativeanalysisoftheclassicalandquantummanakovtop |