Optical wavelet-fractional squeezing combinatorial transform

doi:10.1088/1674-1056/ac1e1c

中国物理B ›› 2022, Vol. 31 ›› Issue (2): 20303-020303.doi: 10.1088/1674-1056/ac1e1c

Optical wavelet-fractional squeezing combinatorial transform

Cui-Hong Lv(吕翠红)^†, Ying Cai(蔡莹), Nan Jin(晋楠), and Nan Huang(黄楠)

School of Physics and Electronic Engineering, Jiangsu University, Zhenjiang 212013, China

收稿日期:2021-06-09 修回日期:2021-08-01 接受日期:2021-08-17 出版日期:2022-01-13 发布日期:2022-01-25
通讯作者: Cui-Hong Lv E-mail:lvch@mail.ujs.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11304126) and the College Students' Innovation Training Program (Grant No. 202110299696X).

Optical wavelet-fractional squeezing combinatorial transform

Cui-Hong Lv(吕翠红)^†, Ying Cai(蔡莹), Nan Jin(晋楠), and Nan Huang(黄楠)

School of Physics and Electronic Engineering, Jiangsu University, Zhenjiang 212013, China

Received:2021-06-09 Revised:2021-08-01 Accepted:2021-08-17 Online:2022-01-13 Published:2022-01-25
Contact: Cui-Hong Lv E-mail:lvch@mail.ujs.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11304126) and the College Students' Innovation Training Program (Grant No. 202110299696X).

摘要/Abstract

摘要： 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.

关键词: wavelet transform, fractional squeezing transform, combinatorial transform, IWOP technique

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.

Key words: wavelet transform, fractional squeezing transform, combinatorial transform, IWOP technique

中图分类号: (Quantum mechanics)

03.65.-w

03.65.Db (Functional analytical methods) 02.30.Uu (Integral transforms)

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[J]. 中国物理B, 2022, 31(2): 20303-020303.

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[J]. Chin. Phys. B, 2022, 31(2): 20303-020303.

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Optical wavelet-fractional squeezing combinatorial transform

Optical wavelet-fractional squeezing combinatorial transform

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