相干态的小波变换
Wavelet transform of coherent state
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摘要: 根据小波变换的量子力学机理,通过选取不同的系数,构造出两组新的母小波函数.在此基础上,利用正规乘积内积分技术,推导出相干态和粒子数态的小波变换,并数值模拟出它们的小波变换图谱.Abstract: Two new mother wavelets are constructed on the basis of the quantum mechanics of classical wavelet transform. Based on that, the wavelet transform of coherent state and particle number state is studied with the technique of integration within an ordered product, and the wavelet transform from coherent state to particle number state is obtained by numerical calculation.
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