中国物理B ›› 2003, Vol. 12 ›› Issue (10): 1062-1065.doi: 10.1088/1009-1963/12/10/304

• GENERAL • 上一篇    下一篇

Minimum signals in classical physics

邓文基1, 许基桓1, 刘平2   

  1. (1)Department of Physics, South China University of Technology, Guangzhou 510640, China; (2)Research Institute of Material Science, South China University of Technology, Guangzhou 510640, China
  • 收稿日期:2003-04-29 修回日期:2003-05-20 出版日期:2005-03-16 发布日期:2005-03-16
  • 基金资助:
    Project supported partly by the Special Foundation for State Major Basic Research Program of China (Grant No 2001-03500).

Minimum signals in classical physics

Deng Wen-Ji (邓文基)a, Xu Ji-Huan (许基桓)a, Liu Ping (刘平)b   

  1. a Department of Physics, South China University of Technology, Guangzhou 510640, China; b Research Institute of Material Science, South China University of Technology, Guangzhou 510640, China
  • Received:2003-04-29 Revised:2003-05-20 Online:2005-03-16 Published:2005-03-16
  • Supported by:
    Project supported partly by the Special Foundation for State Major Basic Research Program of China (Grant No 2001-03500).

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摘要： The bandwidth theorem for Fourier analysis on any time-dependent classical signal is shown using the operator approach to quantum mechanics. Following discussions about squeezed states in quantum optics, the problem of minimum signals presented by a single quantity and its squeezing is proposed. It is generally proved that all such minimum signals, squeezed or not, must be real Gaussian functions of time.

Abstract: The bandwidth theorem for Fourier analysis on any time-dependent classical signal is shown using the operator approach to quantum mechanics. Following discussions about squeezed states in quantum optics, the problem of minimum signals presented by a single quantity and its squeezing is proposed. It is generally proved that all such minimum signals, squeezed or not, must be real Gaussian functions of time.

Key words: time-dependent signals, Fourier bandwidth theorem, minimum uncertainty states

中图分类号:  (Quantum state engineering and measurements)

  • 42.50.Dv
03.65.Fd (Algebraic methods) 03.65.Db (Functional analytical methods) 02.30.Nw (Fourier analysis)