Analyze the meaning of the Green function of problem 14.8 for the case when (r, t 0

Analyze the meaning of the Green function of problem 14.8 for the case when ψ(r, t₀) is given by the Dirac delta function

Data from Problem 14.8.

Show that the time evolution of a wave packet ψ(r, t) can be expressed in terms of the initial form of the wave packet ψ(r, t₀) as

where G(r, t; r′, t₀) denotes the Green function or kernel of the integral and which depends on the dispersion relation ω(k),

Transcribed Image Text:

(r, to) = 8(rro)