(a)
The number of different three particle states can be constructed from three distinguishable particles.
(a)
Answer to Problem 5.29P
The number of different three particle states can be constructed from three distinguishable particles are
Explanation of Solution
Each distinguishable particle can have
Therefore, the total number of states the three particle can have be
Conclusion:
Thus, the number of different three particle states can be constructed from three distinguishable particles are
(b)
The number of different three particle states can be constructed from three identical bosons.
(b)
Answer to Problem 5.29P
The number of different three particle states can be constructed from three identical bosons are
Explanation of Solution
If all particles are in same state:
If two particles are in same state:
It all three particles are in different states:
Therefore, the total number of state the three particles states can be constructed from identical bosons are
Conclusion:
Thus, the number of different three particle states can be constructed from three identical bosons are
(c)
The number of different three particle states can be constructed from three identical fermions.
(c)
Answer to Problem 5.29P
The number of different three particle states can be constructed from three identical fermions is
Explanation of Solution
Fermions must occupy different states.
All three particles are in different states:
Therefore, the total number of state the three particles states can be constructed from identical fermions is
Conclusion:
Thus, the number of different three particle states can be constructed from three identical fermions is
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Chapter 5 Solutions
Introduction To Quantum Mechanics
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