Berezin’s quantization approach for determining the ladder operators associated to a movement particle on the circle and sphere
The quantum formulation of a physical system is essentially based on the associated creation and annihilation operators. In this article, we introduce these ladder operators for a movement particle on the circle and 2-dimensional sphere by Berezin’s quantization .This approach is derived from the re...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Isfahan University of Technology
2021-05-01
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| Series: | Iranian Journal of Physics Research |
| Subjects: | |
| Online Access: | http://ijpr.iut.ac.ir/article_1684_8878f4397d58a854a3897479324c0e79.pdf |
| _version_ | 1818740137472819200 |
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| author | S Rezaei A Rabeie |
| author_facet | S Rezaei A Rabeie |
| author_sort | S Rezaei |
| collection | DOAJ |
| description | The quantum formulation of a physical system is essentially based on the associated creation and annihilation operators. In this article, we introduce these ladder operators for a movement particle on the circle and 2-dimensional sphere by Berezin’s quantization .This approach is derived from the resolution of the unity condition in coherent states. In other words, the coherent states provide a straight forward quantization scheme from a classical state to corresponding quantum state. In this article, we study the coherent states of these systems from heat kernel function point of view. |
| first_indexed | 2024-12-18T01:35:57Z |
| format | Article |
| id | doaj.art-08a1eb665d784ae49f68815ef79ea4e9 |
| institution | Directory Open Access Journal |
| issn | 1682-6957 2345-3664 |
| language | English |
| last_indexed | 2024-12-18T01:35:57Z |
| publishDate | 2021-05-01 |
| publisher | Isfahan University of Technology |
| record_format | Article |
| series | Iranian Journal of Physics Research |
| spelling | doaj.art-08a1eb665d784ae49f68815ef79ea4e92022-12-21T21:25:28ZengIsfahan University of TechnologyIranian Journal of Physics Research1682-69572345-36642021-05-0121118118710.47176/ijpr.21.1.510541684Berezin’s quantization approach for determining the ladder operators associated to a movement particle on the circle and sphereS Rezaei0A Rabeie1Department of Physics, Razi University, Kermanshah, IranDepartment of Physics, Razi University, Kermanshah, IranThe quantum formulation of a physical system is essentially based on the associated creation and annihilation operators. In this article, we introduce these ladder operators for a movement particle on the circle and 2-dimensional sphere by Berezin’s quantization .This approach is derived from the resolution of the unity condition in coherent states. In other words, the coherent states provide a straight forward quantization scheme from a classical state to corresponding quantum state. In this article, we study the coherent states of these systems from heat kernel function point of view.http://ijpr.iut.ac.ir/article_1684_8878f4397d58a854a3897479324c0e79.pdfcoherent statesberezin’s quantizationcreation operatorannihilation operator |
| spellingShingle | S Rezaei A Rabeie Berezin’s quantization approach for determining the ladder operators associated to a movement particle on the circle and sphere Iranian Journal of Physics Research coherent states berezin’s quantization creation operator annihilation operator |
| title | Berezin’s quantization approach for determining the ladder operators associated to a movement particle on the circle and sphere |
| title_full | Berezin’s quantization approach for determining the ladder operators associated to a movement particle on the circle and sphere |
| title_fullStr | Berezin’s quantization approach for determining the ladder operators associated to a movement particle on the circle and sphere |
| title_full_unstemmed | Berezin’s quantization approach for determining the ladder operators associated to a movement particle on the circle and sphere |
| title_short | Berezin’s quantization approach for determining the ladder operators associated to a movement particle on the circle and sphere |
| title_sort | berezin s quantization approach for determining the ladder operators associated to a movement particle on the circle and sphere |
| topic | coherent states berezin’s quantization creation operator annihilation operator |
| url | http://ijpr.iut.ac.ir/article_1684_8878f4397d58a854a3897479324c0e79.pdf |
| work_keys_str_mv | AT srezaei berezinsquantizationapproachfordeterminingtheladderoperatorsassociatedtoamovementparticleonthecircleandsphere AT arabeie berezinsquantizationapproachfordeterminingtheladderoperatorsassociatedtoamovementparticleonthecircleandsphere |