Probabilistic aspects of the SU(2)-harmonic oscillator
文献类型：期刊论文
| 作者 | Luo, SL
|
| 刊名 | JOURNAL OF APPLIED PROBABILITY
 |
| 出版日期 | 2000-03-01 |
| 卷号 | 37期号:1页码:306-314 |
| 关键词 | harmonic oscillator SU(2) Bargmann transform binomial distributions Gaussian distributions Poisson distributions |
| ISSN号 | 0021-9002 |
| 英文摘要 | In the framework of quantum probability, we present a simple geometrical mechanism which gives rise to binomial distributions, Gaussian distributions, Poisson distributions, and their interrelation. More specifically, by virtue of coherent states and a toy analogue of the Bargmann transform, we calculate the probability distributions of the position observable and the Hamiltonian arising in the representation of the classic group SU(2). This representation may be viewed as a constrained harmonic oscillator with a two-dimensional sphere as the phase space. It turns out that both the position observable and the Hamiltonian have binomial distributions, but with different asymptotic behaviours: with large radius and high spin limit, the former tends to the Gaussian while the latter tends to the Poisson. |
| 语种 | 英语 |
| WOS记录号 | WOS:000087186300026 |
| 出版者 | APPLIED PROBABILITY TRUST |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/15295]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Luo, SL |
| 作者单位 | Acad Sinica, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Luo, SL. Probabilistic aspects of the SU(2)-harmonic oscillator[J]. JOURNAL OF APPLIED PROBABILITY,2000,37(1):306-314. |
| APA | Luo, SL.(2000).Probabilistic aspects of the SU(2)-harmonic oscillator.JOURNAL OF APPLIED PROBABILITY,37(1),306-314. |
| MLA | Luo, SL."Probabilistic aspects of the SU(2)-harmonic oscillator".JOURNAL OF APPLIED PROBABILITY 37.1(2000):306-314. |
入库方式： OAI收割
来源：数学与系统科学研究院
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