The number of different three particle states can be constructed from three distinguishable particles.

Question

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Answer 1

Question

Chapter 5, Problem 5.29P

(a)

To determine

The number of different three particle states can be constructed from three distinguishable particles.

(a)

Expert Solution

Answer to Problem 5.29P

The number of different three particle states can be constructed from three distinguishable particles are 27 states.

Explanation of Solution

Each distinguishable particle can have 3 possible states.

Therefore, the total number of states the three particle can have be

3×3×3=27

Conclusion:

Thus, the number of different three particle states can be constructed from three distinguishable particles are 27 states.

(b)

To determine

The number of different three particle states can be constructed from three identical bosons.

(b)

Expert Solution

Answer to Problem 5.29P

The number of different three particle states can be constructed from three identical bosons are 10 states.

Explanation of Solution

If all particles are in same state: aaa,bbb,ccc⇒3.

If two particles are in same state: aab,aac,bba,bbc,cca,ccb⇒6 (symmetrized).

It all three particles are in different states: abc⇒1 (symmetrized).

Therefore, the total number of state the three particles states can be constructed from identical bosons are 3+6+1=10.

Conclusion:

Thus, the number of different three particle states can be constructed from three identical bosons are 10 states.

(c)

To determine

The number of different three particle states can be constructed from three identical fermions.

(c)

Expert Solution

Answer to Problem 5.29P

The number of different three particle states can be constructed from three identical fermions is 1 state.

Explanation of Solution

Fermions must occupy different states.

All three particles are in different states: abc⇒1 (antisymmetrized).

Therefore, the total number of state the three particles states can be constructed from identical fermions is 1.

Conclusion:

Thus, the number of different three particle states can be constructed from three identical fermions is 1 state.

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Answer 2

Question

Chapter 5, Problem 5.29P

(a)

To determine

The number of different three particle states can be constructed from three distinguishable particles.

(a)

Expert Solution

Answer to Problem 5.29P

The number of different three particle states can be constructed from three distinguishable particles are 27 states.

Explanation of Solution

Each distinguishable particle can have 3 possible states.

Therefore, the total number of states the three particle can have be

3×3×3=27

Conclusion:

Thus, the number of different three particle states can be constructed from three distinguishable particles are 27 states.

(b)

To determine

The number of different three particle states can be constructed from three identical bosons.

(b)

Expert Solution

Answer to Problem 5.29P

The number of different three particle states can be constructed from three identical bosons are 10 states.

Explanation of Solution

If all particles are in same state: aaa,bbb,ccc⇒3.

If two particles are in same state: aab,aac,bba,bbc,cca,ccb⇒6 (symmetrized).

It all three particles are in different states: abc⇒1 (symmetrized).

Therefore, the total number of state the three particles states can be constructed from identical bosons are 3+6+1=10.

Conclusion:

Thus, the number of different three particle states can be constructed from three identical bosons are 10 states.

(c)

To determine

The number of different three particle states can be constructed from three identical fermions.

(c)

Expert Solution

Answer to Problem 5.29P

The number of different three particle states can be constructed from three identical fermions is 1 state.

Explanation of Solution

Fermions must occupy different states.

All three particles are in different states: abc⇒1 (antisymmetrized).

Therefore, the total number of state the three particles states can be constructed from identical fermions is 1.

Conclusion:

Thus, the number of different three particle states can be constructed from three identical fermions is 1 state.

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Answer 3

Question

Chapter 5, Problem 5.29P

(a)

To determine

The number of different three particle states can be constructed from three distinguishable particles.

(a)

Expert Solution

Answer to Problem 5.29P

The number of different three particle states can be constructed from three distinguishable particles are 27 states.

Explanation of Solution

Each distinguishable particle can have 3 possible states.

Therefore, the total number of states the three particle can have be

3×3×3=27

Conclusion:

Thus, the number of different three particle states can be constructed from three distinguishable particles are 27 states.

(b)

To determine

The number of different three particle states can be constructed from three identical bosons.

(b)

Expert Solution

Answer to Problem 5.29P

The number of different three particle states can be constructed from three identical bosons are 10 states.

Explanation of Solution

If all particles are in same state: aaa,bbb,ccc⇒3.

If two particles are in same state: aab,aac,bba,bbc,cca,ccb⇒6 (symmetrized).

It all three particles are in different states: abc⇒1 (symmetrized).

Therefore, the total number of state the three particles states can be constructed from identical bosons are 3+6+1=10.

Conclusion:

Thus, the number of different three particle states can be constructed from three identical bosons are 10 states.

(c)

To determine

The number of different three particle states can be constructed from three identical fermions.

(c)

Expert Solution

Answer to Problem 5.29P

The number of different three particle states can be constructed from three identical fermions is 1 state.

Explanation of Solution

Fermions must occupy different states.

All three particles are in different states: abc⇒1 (antisymmetrized).

Therefore, the total number of state the three particles states can be constructed from identical fermions is 1.

Conclusion:

Thus, the number of different three particle states can be constructed from three identical fermions is 1 state.

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Answer 4

Question

Chapter 5, Problem 5.29P

(a)

To determine

The number of different three particle states can be constructed from three distinguishable particles.

(a)

Expert Solution

Answer to Problem 5.29P

The number of different three particle states can be constructed from three distinguishable particles are 27 states.

Explanation of Solution

Each distinguishable particle can have 3 possible states.

Therefore, the total number of states the three particle can have be

3×3×3=27

Conclusion:

Thus, the number of different three particle states can be constructed from three distinguishable particles are 27 states.

(b)

To determine

The number of different three particle states can be constructed from three identical bosons.

(b)

Expert Solution

Answer to Problem 5.29P

The number of different three particle states can be constructed from three identical bosons are 10 states.

Explanation of Solution

If all particles are in same state: aaa,bbb,ccc⇒3.

If two particles are in same state: aab,aac,bba,bbc,cca,ccb⇒6 (symmetrized).

It all three particles are in different states: abc⇒1 (symmetrized).

Therefore, the total number of state the three particles states can be constructed from identical bosons are 3+6+1=10.

Conclusion:

Thus, the number of different three particle states can be constructed from three identical bosons are 10 states.

(c)

To determine

The number of different three particle states can be constructed from three identical fermions.

(c)

Expert Solution

Answer to Problem 5.29P

The number of different three particle states can be constructed from three identical fermions is 1 state.

Explanation of Solution

Fermions must occupy different states.

All three particles are in different states: abc⇒1 (antisymmetrized).

Therefore, the total number of state the three particles states can be constructed from identical fermions is 1.

Conclusion:

Thus, the number of different three particle states can be constructed from three identical fermions is 1 state.

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Answer 5

Chapter 5, Problem 5.29P

(a)

To determine

The number of different three particle states can be constructed from three distinguishable particles.

(a)

Expert Solution

Answer to Problem 5.29P

The number of different three particle states can be constructed from three distinguishable particles are 27 states.

Explanation of Solution

Each distinguishable particle can have 3 possible states.

Therefore, the total number of states the three particle can have be

3×3×3=27

Conclusion:

Thus, the number of different three particle states can be constructed from three distinguishable particles are 27 states.

(b)

To determine

The number of different three particle states can be constructed from three identical bosons.

(b)

Expert Solution

Answer to Problem 5.29P

The number of different three particle states can be constructed from three identical bosons are 10 states.

Explanation of Solution

If all particles are in same state: aaa,bbb,ccc⇒3.

If two particles are in same state: aab,aac,bba,bbc,cca,ccb⇒6 (symmetrized).

It all three particles are in different states: abc⇒1 (symmetrized).

Therefore, the total number of state the three particles states can be constructed from identical bosons are 3+6+1=10.

Conclusion:

Thus, the number of different three particle states can be constructed from three identical bosons are 10 states.

(c)

To determine

The number of different three particle states can be constructed from three identical fermions.

(c)

Expert Solution

Answer to Problem 5.29P

The number of different three particle states can be constructed from three identical fermions is 1 state.

Explanation of Solution

Fermions must occupy different states.

All three particles are in different states: abc⇒1 (antisymmetrized).

Therefore, the total number of state the three particles states can be constructed from identical fermions is 1.

Conclusion:

Thus, the number of different three particle states can be constructed from three identical fermions is 1 state.

Answer 6

Chapter 5, Problem 5.29P

(a)

To determine

The number of different three particle states can be constructed from three distinguishable particles.

(a)

Expert Solution

Answer to Problem 5.29P

The number of different three particle states can be constructed from three distinguishable particles are 27 states.

Explanation of Solution

Each distinguishable particle can have 3 possible states.

Therefore, the total number of states the three particle can have be

3×3×3=27

Conclusion:

Thus, the number of different three particle states can be constructed from three distinguishable particles are 27 states.

Answer 7

Chapter 5, Problem 5.29P

(a)

To determine

The number of different three particle states can be constructed from three distinguishable particles.

Answer 8

(a)

Expert Solution

Answer to Problem 5.29P

The number of different three particle states can be constructed from three distinguishable particles are 27 states.

Answer 9

(a)

Expert Solution

Answer 10

(a)

Expert Solution

Answer 11

Expert Solution

Answer 12

Explanation of Solution

Each distinguishable particle can have 3 possible states.

Therefore, the total number of states the three particle can have be

3×3×3=27

Conclusion:

Thus, the number of different three particle states can be constructed from three distinguishable particles are 27 states.

Answer 13

(b)

To determine

The number of different three particle states can be constructed from three identical bosons.

(b)

Expert Solution

Answer to Problem 5.29P

The number of different three particle states can be constructed from three identical bosons are 10 states.

Explanation of Solution

If all particles are in same state: aaa,bbb,ccc⇒3.

If two particles are in same state: aab,aac,bba,bbc,cca,ccb⇒6 (symmetrized).

It all three particles are in different states: abc⇒1 (symmetrized).

Therefore, the total number of state the three particles states can be constructed from identical bosons are 3+6+1=10.

Conclusion:

Thus, the number of different three particle states can be constructed from three identical bosons are 10 states.

Answer 14

(b)

To determine

The number of different three particle states can be constructed from three identical bosons.

Answer 15

(b)

Expert Solution

Answer to Problem 5.29P

The number of different three particle states can be constructed from three identical bosons are 10 states.

Answer 16

(b)

Expert Solution

Answer 17

(b)

Expert Solution

Answer 18

Expert Solution

Answer 19

Explanation of Solution

If all particles are in same state: aaa,bbb,ccc⇒3.

If two particles are in same state: aab,aac,bba,bbc,cca,ccb⇒6 (symmetrized).

It all three particles are in different states: abc⇒1 (symmetrized).

Therefore, the total number of state the three particles states can be constructed from identical bosons are 3+6+1=10.

Conclusion:

Thus, the number of different three particle states can be constructed from three identical bosons are 10 states.

Answer 20

(c)

To determine

The number of different three particle states can be constructed from three identical fermions.

(c)

Expert Solution

Answer to Problem 5.29P

The number of different three particle states can be constructed from three identical fermions is 1 state.

Explanation of Solution

Fermions must occupy different states.

All three particles are in different states: abc⇒1 (antisymmetrized).

Therefore, the total number of state the three particles states can be constructed from identical fermions is 1.

Conclusion:

Thus, the number of different three particle states can be constructed from three identical fermions is 1 state.

Answer 21

(c)

To determine

The number of different three particle states can be constructed from three identical fermions.

Answer 22

(c)

Expert Solution

Answer to Problem 5.29P

The number of different three particle states can be constructed from three identical fermions is 1 state.

Answer 23

(c)

Expert Solution

Answer 24

(c)

Expert Solution

Answer 25

Expert Solution

Answer 26

Explanation of Solution

Fermions must occupy different states.

All three particles are in different states: abc⇒1 (antisymmetrized).

Therefore, the total number of state the three particles states can be constructed from identical fermions is 1.

Conclusion:

Thus, the number of different three particle states can be constructed from three identical fermions is 1 state.

Answer 27

Ch. 5.1 - Prob. 5.1P Ch. 5.1 - Prob. 5.2P Ch. 5.1 - Prob. 5.3P Ch. 5.1 - Prob. 5.4P Ch. 5.1 - Prob. 5.5P Ch. 5.1 - Prob. 5.6P Ch. 5.1 - Prob. 5.8P Ch. 5.1 - Prob. 5.9P Ch. 5.1 - Prob. 5.10P Ch. 5.1 - Prob. 5.11P

The number of different three particle states can be constructed from three distinguishable particles.

The number of different three particle states can be constructed from three distinguishable particles.

Answer to Problem 5.29P

Explanation of Solution

The number of different three particle states can be constructed from three identical bosons.

Answer to Problem 5.29P

Explanation of Solution

The number of different three particle states can be constructed from three identical fermions.

Answer to Problem 5.29P

Explanation of Solution

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