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But in the spirit of Einstein's probabilistic treatment of radiation, one could still compare the spectrum of a statistical ensemble of such atoms with the classical spectrum" (Darrigol 1992, p. 126; emphasis original).
In classical spectrum leasing as discussed in [22, 30], MUE preserves a fraction β(0<β≤1) of its superframe for the secret communication and leaves the remaining fraction 1−β of the superframe for jammer's transmission.
As observed from Fig. 5, we make a sum utility comparison between SUs under classical spectrum auction in our previous work [36] and the bidding improving algorithm by OIPPS auction.
Functional spectrum is a "large" closed subset of the Hardy space over the unit disk, and in many cases there is a canonical embedding of classical spectrum into functional spectrum.
Moreover there is only a statistical agreement since classically all the frequencies will be given off together, while quantum mechanically only a single photon is emitted with a single frequency in any given transition between stationary states; hence, one must consider a statistical ensemble of atoms to compare with the classical spectrum.
In his 1984 Physics Today article "The Correspondence Principle Revisited," Richard Liboff argues that Bohr's correspondence principle is not a general claim about recovering classical mechanics from quantum mechanics, but the following more restricted claim: "the quantum frequency spectrum of a periodic system approaches the classical spectrum in the limit of large n" (Liboff 1984, p. 52).
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Over supported HPW and microporous Cs salt, the classical spectra of the pyridinium species were observed.
Theorem 3.6 demonstrates that certain choices of the pair ((p, J_{m})) yield spectra with desirable properties analogous to the classical spectra of linear maps.
The simulation is given for the source ULF-1 at 40-m depth and 10 km distant from hydrophone. Figure 13 Classical Fourier spectrum and adapted Fourier spectrum of a signal recorded on a single hydrophone (the same as in Figure 12).
The situation where the antenna is moving in a random environment leads to the classical Jakes spectrum (with bathtub like shape) for scatters uniformly distributed in azimuth [12].
The situation where the antenna is moving in a random environment (e.g., mobile sensor nodes) leads to the classical Jakes spectrum (with bathtub-like shape) for scatters uniformly distributed in azimuth[22].
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