Abstract
A review of one-and two-photon counting methods in single impurity center spectroscopy is reported, and advantages and drawbacks of these methods are discussed. The jumps of spectral lines, which are manifested as the so-called spectral trajectories, are discussed. Examples of the use of the theory of two-photon correlators and autocorrelation functions for experimental data processing are presented. Data are reported that demonstrate that the local dynamics of approximately 30% of single impurity centers cannot be described within the framework of the standard tunneling system model suggested by P. Anderson et al. to explain the low-temperature anomalies observed in glasses.
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