Deng Wen-Ji (邓文基)a, Xu Ji-Huan (许基桓)a, Liu Ping (刘平)b
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
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.
Received: 29 April 2003
Revised: 20 May 2003
Accepted manuscript online:
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