On SU(1,1) intelligent coherent states

Al-Kader GMA; Obada ASF

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On SU(1,1) intelligent coherent states

机译：关于SU（1,1）智能相干态

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Generalized coherent states associated with SU(1,1) Lie algebra are reviewed. A state is called intelligent if it satisfies the strict equality in the Heisenberg uncertainty relation. The eigenvalue problem satisfied by intelligent states (IS) is solved. The IS associated with SU(1,1) Lie algebra are investigated. We have constructed some realizations for our results of IS, and some applications are discussed. Some nonclassical properties such as Glauber second-order correlation function, photon number distribution and squeezing are investigated.

机译：综述了与SU（1,1）Lie代数相关的广义相干态。如果一个状态满足海森堡不确定性关系中的严格相等条件，则称为智能状态。解决了智能状态（IS）满足的特征值问题。研究与SU（1,1）Lie代数相关的IS。我们为IS的结果构造了一些实现，并讨论了一些应用。研究了一些非经典性质，例如Glauber二阶相关函数，光子数分布和压缩。

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《Physica Scripta: An International Journal for Experimental and Theoretical Physics》 |2008年第3期|共10页
作者
Al-Kader GMA; Obada ASF;
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正文语种 eng
中图分类物理学;
关键词
MINIMUM UNCERTAINTY STATES; QUANTUM-OPTICS; SQUEEZED STATES; NONCLASSICAL PROPERTIES; GENERALIZED COHERENT; LIE-GROUP; EQUIVALENCE CLASSES; RADIATION-FIELD; PHOTON STATES; SPIN STATES;

机译：最小不确定度;量子光学;压缩态;非经典性质;广义相干;李群;等价类;辐射场;光子态;自旋态;

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1. On SU(1,1) intelligent coherent states [J] . Al-Kader GMA, Obada ASF Physica Scripta: An International Journal for Experimental and Theoretical Physics . 2008,第3期

机译：关于SU（1,1）智能相干态
2. Photon statistics, parity measurements, and Heisenberg-limited interferometry: example of the two-mode SU(1,1)ââSU(1,1) coherent states [J] . Christopher C. Gerrya* Richard Birrittellaa Andrae Raymonda amp, Raul Carranzaa Journal of Modern Optics . 2011,第17期

机译：光子统计，奇偶性测量和海森堡有限干涉法：两模式SU（1,1）≥SU（1,1）相干态的示例
3. Optimal Concentration for SU (1,1) Coherent State Transforms and An Analogue of the Lieb-Wehrl Conjecture for SU (1,1) [J] . Bandyopadhyay J Communications in Mathematical Physics . 2009,第3期

机译：SU（1,1）相干状态变换的最佳浓度和SU的LIEB-WEHRL猜想的类似物（1,1）
4. Q-Deformed SU(1,1) and SU(2) Squeezed and Intelligent States and Quantum Entanglement [C] . M. T. Rouabah, N. Mebarki, M. F. Ghiti International Conference on Progress in Theoretical Physics . 2012

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5. An Equations of Motion Approach to Quantum Mechanical Problems Using the Lie Algebra su(1,1) [D] . Whitaker, Connor. 2018

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7. SU(2) and SU(1,1) algebra eigenstates: A unified analytic approach to coherent and intelligent states [O] . Brif, C 1997

机译：SU（2）和SU（1,1）代数本征态：相干态和智能态的统一解析方法

On SU(1,1) intelligent coherent states

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