Abstract By virtue of the method of integration within ordered product (IWOP) of operators we find the normally ordered form of the optical wavelet-fractional squeezing combinatorial transform (WFrST) operator. The way we successfully combine them to realize the integration transform kernel of WFrST is making full use of the completeness relation of Dirac's ket-bra representation. The WFrST can play role in analyzing and recognizing quantum states, for instance, we apply this new transform to identify the vacuum state, the single-particle state, and their superposition state.
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11304126) and the College Students' Innovation Training Program (Grant No. 202110299696X).
Cui-Hong Lv(吕翠红), Ying Cai(蔡莹), Nan Jin(晋楠), and Nan Huang(黄楠) Optical wavelet-fractional squeezing combinatorial transform 2022 Chin. Phys. B 31 020303
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