There is a one-dimensional lattice with lattice constant a as shown in Figure 1. An atom transits from a site to a nearest-neighbour site every T seconds. The probabilities of transiting to the right and left are p and q = 1 - p respectively. 9 : 1-P, P Figure 1 a. Calculate the average position z of the atom at the time t = N T, where N>>1.

Modern Physics
3rd Edition
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Chapter12: The Solid State
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There is a one-dimensional lattice with lattice constant a as shown in Figure 1. An atom
transits from a site to a nearest-neighbour site every 7 seconds. The probabilities of
transiting to the right and left are p and q = 1 - p respectively.
9 : 1-P, P
Figure 1
a. Calculate the average position z of the atom at the time t = N T, where N>>1.
b. Calculate the mean-square value (x – 7)? at the time t. |
Transcribed Image Text:There is a one-dimensional lattice with lattice constant a as shown in Figure 1. An atom transits from a site to a nearest-neighbour site every 7 seconds. The probabilities of transiting to the right and left are p and q = 1 - p respectively. 9 : 1-P, P Figure 1 a. Calculate the average position z of the atom at the time t = N T, where N>>1. b. Calculate the mean-square value (x – 7)? at the time t. |
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