Classical Dynamics of Particles and Systems
5th Edition
ISBN: 9780534408961
Author: Stephen T. Thornton, Jerry B. Marion
Publisher: Cengage Learning
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Chapter 12, Problem 12.2P
To determine
To investigate the case of coupled oscillator under weak coupling
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Problem 1.
The Morse potential, which is often used to model interatomic forces can be written in the form
U(r) = D(1-e²²(²-))²
3
wherer is the distance between the two atomic nuclei. Determine the
"spring constant" for small displacements from equilibrium for the Morse potential.
Question 6:
The dispersion relation of a system is given by w(k) = 2w, sin, where wo is a
constant and n is an integer.
1. Calculate the group velocity vg.
2. Calculate the phase velocity Uph.
Draw a typical dispersion relation curve (ω-k curve) for Vp = Vg and Vp not equal to Vg
Chapter 12 Solutions
Classical Dynamics of Particles and Systems
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