| q－玻色湮没算符高次幂的本征态及其性质 |
| |
| 引用本文： | 王继锁,王传奎.q－玻色湮没算符高次幂的本征态及其性质[J].光学学报,1994,14(10):1043-1048. |
| |
| 作者姓名： | 王继锁 王传奎 |
| |
| 作者单位： | 聊城师范学院光通信研究所，中国高等科学技术中心（世界实验室） |
| |
| 摘 要： | 研究ｑ－玻色湮没算符高次幂（ｋ≥３）的正交归一本征态的数学结构，在此基础上讨论了它们的数学性质及其ｑ－压缩和振幅Ｎ次方压缩特性．发现它们能组成一个完备的希尔伯特（Ｈｉｌｂｅｒｔ）空间；且当ｋ为偶数时，这些本征态均可存在振幅Ｎ次方压缩．
|
| 关 键 词： | 算符，数学性质，q－压缩，振幅N次方压缩 |
| 收稿时间： | 1993/10/4 |
Eigenstates of Higher Power (k≥3) of the q-Boson Annihilation Operator and Their Properties |
| |
| Wang Jisuo, Wang Chuankui.Eigenstates of Higher Power (k≥3) of the q-Boson Annihilation Operator and Their Properties[J].Acta Optica Sinica,1994,14(10):1043-1048. |
| |
| Authors: | Wang Jisuo Wang Chuankui |
| |
| Abstract: | In this paper, the mathematical structure of k orthonormalized eigenstutds of the higher powers (k≥3) of the q-boson annihilation operator are studied. Based on the work, the properties of the mathematics, q-squeezing and the amplitude N th-power squeezing are investigated. It is found that they form a complete q-Hilbert sauce, and the amplitude N th-power squeezing N=(m+1/2)k, m=0,1,2,…] can exist in the all of them when k is even. |
| |
| Keywords: | operator akq mathematical property q-squeezing amplitude N thpower squeezing |
| 本文献已被 CNKI 等数据库收录！ |
|
