5.73 Problem Set 3
Due Friday, Oct. 7
All of these problems concern a particle in a delta function potential:
V (q ) = V0 (q )
where V0 is a constant .Note that the potential is attractive if V0 < 0
a
DEPARTMENT OF MATERIALS SCIENCE AND ENGINEERING
MASSACHUSETTS INSTITUTE OF TECHNOLOGY
CAMBRIDGE, MASSACHUSETTS 02139-4307
Donald R. Sadoway
John F. Elliott Professor of Materials Chemistry
MacVicar Fa
DEPARTMENT OF MATERIALS SCIENCE AND ENGINEERING
MASSACHUSETTS INSTITUTE OF TECHNOLOGY
CAMBRIDGE, MASSACHUSETTS 02139-4307
Donald R. Sadoway
John F. Elliott Professor of Materials Chemistry
MacVicar Fa
5.73 Problem Set 7
Due: Friday, Dec. 9 2004
1. Consider a diatomic molecule with two electronic states, 1 and
2 and a bond length R. The Hamiltonian for this system in
the diabatic basis is given by:
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8.333: Statistical Mechanics I
Fall 2007
Test 1
Review Problems
The rst in-class test will take place on Wednesday 9/26/07 from
2:30 to 4:00 pm. There will be a recitation with test review on Friday 9
5.73 Problem Set 1
Due Friday, Sept. 23
1. In class, we talked about linear polarization states. Photons
can also exist in either of two possible circular polarization
states (left and right) that can
8.333: Statistical Mechanics I
Fall 2007
Test 1
Review Problems
The rst in-class test will take place on Wednesday 9/26/07 from
2:30 to 4:00 pm. There will be a recitation with test review on Friday 9
1. Consider a diatomic molecule with two electronic states, 1 and
2 and a bond length R. The Hamiltonian for this system in
the diabatic basis is given by:
2
H = 1 1 R + V11 R 1 + 1 V12 ( R ) 2
2
(
+
5.73 Problem Set 5
1. Consider a system that evolves under the Hamiltonian
H = J z .
Compute the average values J x (t ) , J y (t ) and J z (t ) given
fixed initial values for each average. What is