Coherent States with Complex Functions

被引:0
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作者
K. Thirulogasanthar
G. Honnouvo
G. Honnouvo
机构
[1] Concordia University,Department of Mathematics and Statistics
[2] Concordia University,Department of Mathematics and Statistics
[3] Institut de Mathématiques et de Sciences Physiques,Unité de Recherche en Physique Thérique
[4] 01 B.P,undefined
关键词
Coherent state; reproducing kernel; oscillator algebra;
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学科分类号
摘要
The canonical coherent states are infinite series in powers of a complex number z. We present classes of coherent states by replacing this complex number z by other choices, namely, iterates of a complex function, higher functions, and elementary functions. Further, we show that some of these classes do not furnish generalized oscillator algebras in the natural way. A reproducing kernel Hilbert space is discussed to each class of coherent states.
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页码:1053 / 1071
页数:18
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