Coherent states with complex functions
数学物理
2009-11-10 v2 math.MP
摘要
The canonical coherent states are expressed as infinite series in powers of a complex number in their infinite series version. In this article we present classes of coherent states by replacing this complex number 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.
引用
@article{arxiv.math-ph/0307054,
title = {Coherent states with complex functions},
author = {K. Thirulogasanthar and G. Honnouvo},
journal= {arXiv preprint arXiv:math-ph/0307054},
year = {2009}
}
备注
14 pages