(2.7) Diatomic Einstein Solid*\ Having studied Exercise 2.1, consider now a solid made up of diatomic molecules. We can (very crudely) model this as two particles in three dimensions, connected to each other with a spring, both in the bottom of a harmonic well.\

H=(p_(1)^(2))/(2m_(1))+(p_(2)^(2))/(2m_(2))+(k)/(2)x_(1)^(2)+(k)/(2)x_(2)^(2)+(K)/(2)(x_(1)-x_(2))^(2)

\ where

k

is the spring constant holding both particles in the bottom of the well, and

K

is the

7) Diatomic Einstein Solid* Having studied Exercise 2.1, consider now a solid made up of diatomic molecules. We can (very crudely) model this as two particles in three dimensions, connected to each other with a spring, both in the bottom of a harmonic well. H=2m1p12+2m2p22+2kx12+2kx22+2K(x1x2)2 where k is the spring constant holding both particles in the bottom of the well, and K is the