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- W2069607699 abstract "Physicists have gained many non-trivial insights into the behaviour of systems whose corresponding classical dynamics are chaotic; the study of such systems is called quantum chaology. The main function of this paper is (i) to tell the reader about the existence of this knowledge and (ii) to explain how it relates to the discipline of frequency control. Resonators are analogous to closed systems, in the sense that the trajectory of a high-frequency wavepacket bouncing between the bounding surfaces of a resonator is similar to the trajectory of a wave-particle bouncing inside the walls of a confining potential. Through this analogy, the same universal laws that control the behaviour of closed systems should be applicable to the sorts of resonators that are used for frequency-control applications. Any finite resonator has a discrete set of normal modes. Quantum chaology places certain restrictions both on the way in which the frequencies of these normal modes are distributed in frequency space and on the way in which these frequencies change as the body is perturbed (by, say, a change in its operating temperature). These restrictions motivate the use of chaotic resonators, which are inherently immune to activity dips and sudden shifts in frequency. An experiment is described, which verifies the predictions of chaology for a matchbox-sized block of crystalline quartz." @default.
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- W2069607699 date "1996-01-01" @default.
- W2069607699 modified "2023-09-23" @default.
- W2069607699 title "A quantum chaologist's view of quartz resonators" @default.
- W2069607699 doi "https://doi.org/10.1049/cp:19960074" @default.
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