Numerical results are presented for the electromagnetic corrections to the Sand P-wave phase shifts and inelasticities in 77 t p and .rr p scattering. A discussion is given of how to apply the corrections in practical data analysis.

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If the probability density P(x, t) = |ψ (x, t)|2 of a non-stationary state happens to meet the condition P(x, t0) = P(x, t0 + Υ), the wave packet is said to experience exact revivals at intervals of Υ. The definition implies that a harmonic oscillator wave packet will experience revivals with a period Υ = 2π/ω, where ω is the angular frequency of the corresponding classical system. A harmonic oscillator wave packet of Gaussian form, centered initially (t = 0) at x = x0, is shown to spread almost everywhere, if its initial width is sufficiently narrow, in a time very much shorter than the period of the corresponding classical oscillator. However, the packet reassembles itself twice during a single period: (i) it experiences a mirror revival, defined by the relation P(x, ½Υ) = P(-x, 0), and (ii) an exact revival, P(x, Υ) = P(x, 0). These results are used to counter a recent claim (which apparently gives voice to a commonly held belief) that a harmonic oscillator wave packet ψ(x, t) does not collapse and has no revivals. Plots of the recurrence probability |⟨ψ(x, 0)|ψ(x, t)⟩|2 are presented and the need for formulating unambiguous definitions of the two concepts, revival and collapse, is stressed.

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A non-Markovian partial differential equation, rooted in the theory of Brownian motion, is proposed for describing heat conduction by phonons. Although a finite speed of propagation is a built-in feature of the equation, it does not give rise to an inauthentic wave front that results from the application of Cattaneo's equation. Even a simplified, analytically tractable version of the equation yields results close to those found by solving, through more elaborate means, the equation of phonon radiative transfer.

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