Minimum signals in classical physics |
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| Authors: | Deng Wen-Ji Xu Ji-Huan Liu Ping |
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| Affiliation: | Department of Physics, South China University of Technology, Guangzhou 510640, China; Research Institute of Material Science, South China University of Technology, Guangzhou 510640, China |
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| 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. |
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| Keywords: | time-dependent signals Fourier bandwidth theorem minimum uncertainty states |
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