The average occupancy of a single-particle state and the probability of the state containing 0 , 1 , 2 , or 3 bosons, if the energy of the state is 0.001 eV greater than μ .

Question

Prove that assuming n = 0 for a quantum particle in an infinitely deep potential well leads to a violation of the uncertainty principle Δpx Δx ≥ h/2.

Answer 1

Question

Chapter 7.2, Problem 13P

(a)

To determine

To Compute:The average occupancy of a single-particle state and the probability of the state containing 0,1,2, or 3 bosons, if the energy of the state is 0.001 eV greater than μ .

(b)

To determine

To Compute: The average occupancy of a single-particle state and the probability of the state containing 0,1,2, or 3 bosons, if the energy of the state is 0.01 eV greater than μ .

(c)

To determine

To Compute: The average occupancy of a single-particle state and the probability of the state containing 0,1,2, or 3 bosons, if the energy of the state is 0.1 eV greater than μ

(d)

To determine

To Compute: The average occupancy of a single-particle state and the probability of the state containing 0,1,2, or 3 bosons, if the energy of the state is 1 eV greater than μ .

Expert Solution & Answer

Learn your wayIncludes step-by-step video

See solution

Check out sample textbook solution

02:05

Students have asked these similar questions

Prove that assuming n = 0 for a quantum particle in an infinitely deep potential well leads to a violation of the uncertainty principle Δpx Δx ≥ h/2.

This question is for modern physics and wave and particle: (a) To how small a region must an electron be confined for borderline relativistic speeds – say, 0.05c – to become reasonably likely? (Ans: 3.9×10^−12m ) (b) On the basis of this, would you expect relativistic effects to be prominent for hydrogen’s electron, which has an orbit radius near 10-10? For a lead atom “inner-shell” electron of orbit radius 10-12m?

If the absolute value of the wave function of a proton is 2 times as large at location A than at location B, how many times is it more likely to find the proton in location A than in B?

Answer 2

Question

Chapter 7.2, Problem 13P

(a)

To determine

To Compute:The average occupancy of a single-particle state and the probability of the state containing 0,1,2, or 3 bosons, if the energy of the state is 0.001 eV greater than μ .

(b)

To determine

To Compute: The average occupancy of a single-particle state and the probability of the state containing 0,1,2, or 3 bosons, if the energy of the state is 0.01 eV greater than μ .

(c)

To determine

To Compute: The average occupancy of a single-particle state and the probability of the state containing 0,1,2, or 3 bosons, if the energy of the state is 0.1 eV greater than μ

(d)

To determine

To Compute: The average occupancy of a single-particle state and the probability of the state containing 0,1,2, or 3 bosons, if the energy of the state is 1 eV greater than μ .

Expert Solution & Answer

Learn your wayIncludes step-by-step video

See solution

Check out sample textbook solution

02:05

Answer 3

Question

Chapter 7.2, Problem 13P

(a)

To determine

To Compute:The average occupancy of a single-particle state and the probability of the state containing 0,1,2, or 3 bosons, if the energy of the state is 0.001 eV greater than μ .

(b)

To determine

To Compute: The average occupancy of a single-particle state and the probability of the state containing 0,1,2, or 3 bosons, if the energy of the state is 0.01 eV greater than μ .

(c)

To determine

To Compute: The average occupancy of a single-particle state and the probability of the state containing 0,1,2, or 3 bosons, if the energy of the state is 0.1 eV greater than μ

(d)

To determine

To Compute: The average occupancy of a single-particle state and the probability of the state containing 0,1,2, or 3 bosons, if the energy of the state is 1 eV greater than μ .

Expert Solution & Answer

Learn your wayIncludes step-by-step video

See solution

Check out sample textbook solution

02:05

Answer 4

Question

Chapter 7.2, Problem 13P

(a)

To determine

To Compute:The average occupancy of a single-particle state and the probability of the state containing 0,1,2, or 3 bosons, if the energy of the state is 0.001 eV greater than μ .

(b)

To determine

To Compute: The average occupancy of a single-particle state and the probability of the state containing 0,1,2, or 3 bosons, if the energy of the state is 0.01 eV greater than μ .

(c)

To determine

To Compute: The average occupancy of a single-particle state and the probability of the state containing 0,1,2, or 3 bosons, if the energy of the state is 0.1 eV greater than μ

(d)

To determine

To Compute: The average occupancy of a single-particle state and the probability of the state containing 0,1,2, or 3 bosons, if the energy of the state is 1 eV greater than μ .

Expert Solution & Answer

Learn your wayIncludes step-by-step video

See solution

Check out sample textbook solution

02:05

Answer 5

Chapter 7.2, Problem 13P

(a)

To determine

To Compute:The average occupancy of a single-particle state and the probability of the state containing 0,1,2, or 3 bosons, if the energy of the state is 0.001 eV greater than μ .

(b)

To determine

To Compute: The average occupancy of a single-particle state and the probability of the state containing 0,1,2, or 3 bosons, if the energy of the state is 0.01 eV greater than μ .

(c)

To determine

To Compute: The average occupancy of a single-particle state and the probability of the state containing 0,1,2, or 3 bosons, if the energy of the state is 0.1 eV greater than μ

(d)

To determine

To Compute: The average occupancy of a single-particle state and the probability of the state containing 0,1,2, or 3 bosons, if the energy of the state is 1 eV greater than μ .

Answer 6

Chapter 7.2, Problem 13P

(a)

To determine

To Compute:The average occupancy of a single-particle state and the probability of the state containing 0,1,2, or 3 bosons, if the energy of the state is 0.001 eV greater than μ .

Answer 7

Chapter 7.2, Problem 13P

(a)

To determine

To Compute:The average occupancy of a single-particle state and the probability of the state containing 0,1,2, or 3 bosons, if the energy of the state is 0.001 eV greater than μ .

Answer 8

(b)

To determine

To Compute: The average occupancy of a single-particle state and the probability of the state containing 0,1,2, or 3 bosons, if the energy of the state is 0.01 eV greater than μ .

Answer 9

(b)

To determine

To Compute: The average occupancy of a single-particle state and the probability of the state containing 0,1,2, or 3 bosons, if the energy of the state is 0.01 eV greater than μ .

Answer 10

(c)

To determine

To Compute: The average occupancy of a single-particle state and the probability of the state containing 0,1,2, or 3 bosons, if the energy of the state is 0.1 eV greater than μ

Answer 11

(c)

To determine

To Compute: The average occupancy of a single-particle state and the probability of the state containing 0,1,2, or 3 bosons, if the energy of the state is 0.1 eV greater than μ

Answer 12

(d)

To determine

To Compute: The average occupancy of a single-particle state and the probability of the state containing 0,1,2, or 3 bosons, if the energy of the state is 1 eV greater than μ .

Answer 13

(d)

To determine

To Compute: The average occupancy of a single-particle state and the probability of the state containing 0,1,2, or 3 bosons, if the energy of the state is 1 eV greater than μ .

Answer 14

Expert Solution & Answer

Answer 15

Expert Solution & Answer

Answer 16

Learn your wayIncludes step-by-step video

See solution

Check out sample textbook solution

Answer 17

Learn your wayIncludes step-by-step video

See solution

Check out sample textbook solution

Answer 18

Learn your wayIncludes step-by-step video

See solution

Check out sample textbook solution

Answer 19

Learn your wayIncludes step-by-step video

Answer 20

Learn your wayIncludes step-by-step video

Answer 21

Learn your wayIncludes step-by-step video

Answer 22

Learn your way

Answer 23

Includes step-by-step video

Answer 24

See solution

Check out sample textbook solution

Answer 25

Ch. 7.1 - Prob. 1P Ch. 7.1 - Prob. 3P Ch. 7.1 - Prob. 4P Ch. 7.1 - Show that when a system is in thermal and...Ch. 7.1 - Prob. 7P Ch. 7.2 - Prob. 8P Ch. 7.2 - Prob. 9P Ch. 7.2 - Prob. 11P Ch. 7.2 - Prob. 12P Ch. 7.2 - Prob. 13P

The average occupancy of a single-particle state and the probability of the state containing 0 , 1 , 2 , or 3 bosons, if the energy of the state is 0.001 eV greater than μ .

Solution Summary: The author calculates the average occupancy of a single-particle state and the probability of the state containing 0,1,2, or 3 bosons.

To Compute:The average occupancy of a single-particle state and the probability of the state containing 0,1,2, or 3 bosons, if the energy of the state is 0.001 eV greater than μ .

To Compute: The average occupancy of a single-particle state and the probability of the state containing 0,1,2, or 3 bosons, if the energy of the state is 0.01 eV greater than μ .

To Compute: The average occupancy of a single-particle state and the probability of the state containing 0,1,2, or 3 bosons, if the energy of the state is 0.1 eV greater than μ

To Compute: The average occupancy of a single-particle state and the probability of the state containing 0,1,2, or 3 bosons, if the energy of the state is 1 eV greater than μ .

Chapter 7 Solutions