通过量子力学变换理论,结合有序算符内的积分技术,用于信号分析的小波变换可推广到 增光子相干态的非经典量子特性研究中。结果表明,增光子相干态的小波变换谱除具有一般小波变换的特性外, 而且随着增光子数的逐渐增大,其对称性被破坏,不断有新的波峰出现。

The wavelet transform for signal analysis was promoted to research of the non-classical quantum properties of the photon-added coherent state by means of quantum transformation theory and the technique of integration within an ordered product of operators. The result shows that the wavelet transform spectra of the photon-added coherent states not only exhibits the common behaviors, which are characteristics of the wavelet transformation, but also disappears its symmetry and arises some new crests gradually with the increasing value of the number of added photons.