Para-Grassmann variables and coherent states
The definitions of para-Grassmann variables and q-oscillator algebras are recalled. Some new properties are given. We then introduce appropriate coherent states as well as their dual states. This allows us to obtain a formula for the trace of a operator expressed as a function of the creation and an...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Datum: | 2006 |
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2006
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/146066 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Para-Grassmann variables and coherent states / D.C. Cabra, E.F. Moreno, A. Tanasă // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 25 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862552153867943936 |
|---|---|
| author | Cabra, D.C. Moreno, E.F. Tanasă, A. |
| author_facet | Cabra, D.C. Moreno, E.F. Tanasă, A. |
| citation_txt | Para-Grassmann variables and coherent states / D.C. Cabra, E.F. Moreno, A. Tanasă // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 25 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | The definitions of para-Grassmann variables and q-oscillator algebras are recalled. Some new properties are given. We then introduce appropriate coherent states as well as their dual states. This allows us to obtain a formula for the trace of a operator expressed as a function of the creation and annihilation operators.
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| first_indexed | 2025-11-25T20:55:22Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146066 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-25T20:55:22Z |
| publishDate | 2006 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Cabra, D.C. Moreno, E.F. Tanasă, A. 2019-02-06T17:21:22Z 2019-02-06T17:21:22Z 2006 Para-Grassmann variables and coherent states / D.C. Cabra, E.F. Moreno, A. Tanasă // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 25 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 81R30; 81R50; 17B37 https://nasplib.isofts.kiev.ua/handle/123456789/146066 The definitions of para-Grassmann variables and q-oscillator algebras are recalled. Some new properties are given. We then introduce appropriate coherent states as well as their dual states. This allows us to obtain a formula for the trace of a operator expressed as a function of the creation and annihilation operators. This paper is a contribution to the Proceedings of the O’Raifeartaigh Symposium on Non-Perturbative and Symmetry Methods in Field Theory (June 22–24, 2006, Budapest, Hungary). A. Tanasa acknowledges M. Goze and R. Santachiara. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Para-Grassmann variables and coherent states Article published earlier |
| spellingShingle | Para-Grassmann variables and coherent states Cabra, D.C. Moreno, E.F. Tanasă, A. |
| title | Para-Grassmann variables and coherent states |
| title_full | Para-Grassmann variables and coherent states |
| title_fullStr | Para-Grassmann variables and coherent states |
| title_full_unstemmed | Para-Grassmann variables and coherent states |
| title_short | Para-Grassmann variables and coherent states |
| title_sort | para-grassmann variables and coherent states |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146066 |
| work_keys_str_mv | AT cabradc paragrassmannvariablesandcoherentstates AT morenoef paragrassmannvariablesandcoherentstates AT tanasaa paragrassmannvariablesandcoherentstates |