论文标题

信号分析和量子形式主义:无普朗克常数的量化

Signal analysis and quantum formalism: Quantizations with no Planck constant

论文作者

Gazeau, Jean Pierre, Habonimana, Celestin

论文摘要

信号分析建立在信号矢量空间中标识的各种分辨率上,例如傅立叶,Gabor,小波等。类似的分辨率被用作函数或分布的量化器,为时间频率或时间尺度量子形式主义铺平了道路,并揭示了有趣或意外的特征。提到了被视为波的量子理论而非光子的量子理论的扩展。

Signal analysis is built upon various resolutions of the identity in signal vector spaces, e.g. Fourier, Gabor, wavelets, etc. Similar resolutions are used as quantizers of functions or distributions, paving the way to a time-frequency or time-scale quantum formalism and revealing interesting or unexpected features. Extensions to classical electromagnetism viewed as a quantum theory for waves and not for photons are mentioned.

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