Physics 4120 Spring 2008 Homework #3 1) Reif 2.1
p p 2mE p 2m E E
Shaded region is accessible to our particle.
2) Reif 2.2 Slice of phase space through position is simple. Slice of phase space through momentum forms a ring, with inner radius p and
Physics 4120 Spring 2008 Homework #5 solutions 1) Reif 3.3 (a)
(E)
E H
2N exp 2 N
E H 2N
2
E 2N E H ln ln ln H 2N 2 N ln E E N 2H 2 At equilibrium (where E is equal to its mean value), E E 2 2 N H N 2H 2
2
= ', so
But from Reif eq. 3.7.12, t
Physics 4120 Spring 2008 Homework #5 solutions 1) Reif 3.3 (a)
(E)
E H
2N exp 2 N
E H 2N
2
E 2N E H ln ln ln H 2N 2 N ln E E N 2H 2 At equilibrium (where E is equal to its mean value), E E 2 2 N H N 2H 2
2
= ', so
But from Reif eq. 3.7.12, t
Physics 4120 Spring 2008 Homework #2 Solutions 1) a) If the drunk is back at the lamp post, that means that the number of steps to the right and to the left are the same, and half the total number of steps. So we just evaluate equation 1.2.6 for n1 =
Physics 4120 Spring 2008 Homework #4 solutions 1) Reif 2.4
N! . Using our n1! n2 ! definition for energy E (n1 n2 )H and N n1 n2 , we can rewrite our n's in terms of energy:
(a) The number of states with n1 parallel and n2 antiparallel spins is