Physics 481
Spring 2006
Problem Set 1
Soeren Prell
1. Problem 5.1, page 202 in Griffith – Center of mass motion and relative motion for
two particle system.
2. Suppose we have two noninteracting particles, both of mass m in the one-dimensional
infinite square well potential. Taking into account the spin states as well as the spatial wave function, write down the ground state and the first excited state for the
case when the two particles are identical spin 1/2 particles and for the case when
they are identical spin-0 particles. Give the energy of the ground state and the first
excited state and note any degeneracy in the states.
3. Problem 5.4, page 206 in Griffith – Normalization of two-particle states.
4. Problem 5.6, page 210 in Griffith – Average squared distance between two particles
(distinguishable, identical bosons, identical fermions) in infinite potential well.
5. Problem 5.33, page 246 in Griffith - Three particle states.
Due Friday, January 20, 5 pm. Scores for late problem sets will be divided by 2.
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