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 |
| Summary: | 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. |
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| ISSN: | 1682-6957 2345-3664 |