奇偶二项式光场态的小波变换

物理学报

奇偶二项式光场态的小波变换

, ,

宋军, 许业军, 范洪义. 2011: 奇偶二项式光场态的小波变换, 物理学报, 60(8): 278-284.

引用本文:

宋军, 许业军, 范洪义. 2011: 奇偶二项式光场态的小波变换, 物理学报, 60(8): 278-284.

2011: Wavelet transform of odd-and even-binomial states, Acta Physica Sinica, 60(8): 278-284.

Citation:

2011: Wavelet transform of odd-and even-binomial states, Acta Physica Sinica, 60(8): 278-284.

Wavelet transform of odd-and even-binomial states

摘要: 利用有序算符内积分方法,小波变换可以表示为被转换态矢｜f〉在压缩平移算符U（μ,s）作用下向母小波态矢〈ψ｜转换的矩阵元〈ψ｜U（μ,s）｜f〉.在此基础上,计算了奇、偶二项式态的小波变换,得到小波变换谱.结果表明,小波变换谱可以起到识别这些量子力学态的作用,具有直观易辨的优点.
- 小波变换 /
- 奇偶二项式态 /
- 有序算符内积分
Abstract: In the context of quantum mechanics the classical wavelet transform of a function f with the mother wavelet ψ can be recast into a matrix element of the squeezing-displacing operator U（μ,s） as 〈ψ｜U（μ,s）｜f〉.The technique of integral within an ordered product of operators is used to support this theory.Based on this,wavelet transforms are done for even-and odd-binomial states,and the corresponding numerical calculation leads to the spectrum of wavelet transform,which is helpful for recognizing the difference between even-and odd-states.