Concepts and formalism from acoustics are often used to exemplify quantum mechanics. Conversely, quantum mechanics could be used to achieve a new perspective on acoustics, as shown by Gabor studies. Here, we focus in particular on the study of human voice, considered as a probe to investigate the world of sounds. We present a theoretical framework that is based on observables of vocal production, and on some measurement apparati that can be used both for analysis and synthesis. In analogy to the description of spin states of a particle, the quantum-mechanical formalism is used to describe the relations between the fundamental states associated with phonetic labels such as phonation, turbulence, and supraglottal myoelastic vibrations. The intermingling of these states, and their temporal evolution, can still be interpreted in the Fourier/Gabor plane, and effective extractors can be implemented. The bases for a Quantum Vocal Theory of Sound, with implications in sound analysis and design, are presented.

中文翻译：

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声音的量子声学理论

声学中的概念和形式主义经常被用来举例说明量子力学。相反，正如 Gabor 研究所示，量子力学可用于实现声学的新视角。在这里，我们特别关注人类声音的研究，被认为是探索声音世界的一种探索。我们提出了一个理论框架，该框架基于声音产生的可观察量，以及一些可用于分析和合成的测量设备。类似于粒子自旋状态的描述，量子力学形式主义用于描述与语音标记相关的基本状态之间的关系，例如发声、湍流和声门上肌弹性振动。这些状态的混合，以及它们的时间演变，仍然可以在傅立叶/Gabor 平面中进行解释，并且可以实现有效的提取器。介绍了声音的量子声乐理论的基础，以及对声音分析和设计的影响。