Consider the results of Figure 17.5 more quantitatively. Describe the values of x and k by x ± Δx and k₀± Δk. Evaluate Δx from the zero of distance to the point at which the envelope of ψ^*(x)ψ (x) is reduced to one-half of its peak value. Evaluate Δk from Δk = ˆ£1/2(k₀€“ k_min)ˆ£, where k₀is the average wave vector of the set of 21 waves (11th of 21) and k_mincorresponds to the 21st of the 21 waves. Is your estimated value of ΔpΔx = hΔk Δx in reasonable agreement with the Heisenberg uncertainty principle? 

Figure 17.5

Transcribed Image Text:

n-101 -6 -4 -2 k/(1010 n-15 -1.0 -0.5 0.5 1.0 k(1010 m ) n-5 -0.6 -0.4 -0.2 0.2 0.4 0.6 k/(1010 m ') A. n-1 -0.3 -0.2 -0.1 0.2 0.3 0.1 k(1010 m 1) ---------