The fraction of the cubical volume relative to the total volume of the box.

Question

Want to see the full answer?

Answer 1

Question

Chapter 41, Problem 41.41P

(a)

To determine

The fraction of the cubical volume relative to the total volume of the box.

(b)

To determine

The probability that the particle will be found in the cubical volume 0≤x≤L/4 , 0≤y≤L/4 and 0≤z≤L/4 in the ground state.

(c)

To determine

The probability that the particle will be found in the cubical volume 0≤x≤L/4 , 0≤y≤L/4 and 0≤z≤L/4 in the state nX=2,nY=1,nZ=1 .

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Students have asked these similar questions

Consider a particle in 1D Box with length L, and in a state n = 4. What is the probability of finding the particle in the first 1/3 part of the box? exactly 1/4 exactly 1/6 less than 1/3 less than 1/4 none

A quantum particle in an infinitely deep square well has a wave function that is given by ψ1(x) = √2/Lsin (πx/L)for 0 ≤ x ≤ L and is zero otherwise. (a) Determine the probability of finding the particle between x = 0 and x = 1/3L.(b) Use the result of this calculation and a symmetry argumentto find the probability of finding the particle between x = 1/3 L and x = 2/3 L. Do not re-evaluate the integral.

What is the probability of finding a particle in the last 10% of a one-dimensional box for n = 1 state? Find the solution(s) to the differential equations: a. y''(x) + y'(x) - 6y(x) = 0 and b. y''(x) - 4y'(x) + 4y(x) = 0.

Answer 2

Question

Chapter 41, Problem 41.41P

(a)

To determine

The fraction of the cubical volume relative to the total volume of the box.

(b)

To determine

The probability that the particle will be found in the cubical volume 0≤x≤L/4 , 0≤y≤L/4 and 0≤z≤L/4 in the ground state.

(c)

To determine

The probability that the particle will be found in the cubical volume 0≤x≤L/4 , 0≤y≤L/4 and 0≤z≤L/4 in the state nX=2,nY=1,nZ=1 .

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 3

Question

Chapter 41, Problem 41.41P

(a)

To determine

The fraction of the cubical volume relative to the total volume of the box.

(b)

To determine

The probability that the particle will be found in the cubical volume 0≤x≤L/4 , 0≤y≤L/4 and 0≤z≤L/4 in the ground state.

(c)

To determine

The probability that the particle will be found in the cubical volume 0≤x≤L/4 , 0≤y≤L/4 and 0≤z≤L/4 in the state nX=2,nY=1,nZ=1 .

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 41, Problem 41.41P

(a)

To determine

The fraction of the cubical volume relative to the total volume of the box.

(b)

To determine

The probability that the particle will be found in the cubical volume 0≤x≤L/4 , 0≤y≤L/4 and 0≤z≤L/4 in the ground state.

(c)

To determine

The probability that the particle will be found in the cubical volume 0≤x≤L/4 , 0≤y≤L/4 and 0≤z≤L/4 in the state nX=2,nY=1,nZ=1 .

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 5

Chapter 41, Problem 41.41P

(a)

To determine

The fraction of the cubical volume relative to the total volume of the box.

(b)

To determine

The probability that the particle will be found in the cubical volume 0≤x≤L/4 , 0≤y≤L/4 and 0≤z≤L/4 in the ground state.

(c)

To determine

The probability that the particle will be found in the cubical volume 0≤x≤L/4 , 0≤y≤L/4 and 0≤z≤L/4 in the state nX=2,nY=1,nZ=1 .

Answer 6

Chapter 41, Problem 41.41P

(a)

To determine

The fraction of the cubical volume relative to the total volume of the box.

Answer 7

Chapter 41, Problem 41.41P

(a)

To determine

The fraction of the cubical volume relative to the total volume of the box.

Answer 8

(b)

To determine

The probability that the particle will be found in the cubical volume 0≤x≤L/4 , 0≤y≤L/4 and 0≤z≤L/4 in the ground state.

Answer 9

(b)

To determine

The probability that the particle will be found in the cubical volume 0≤x≤L/4 , 0≤y≤L/4 and 0≤z≤L/4 in the ground state.

Answer 10

(c)

To determine

The probability that the particle will be found in the cubical volume 0≤x≤L/4 , 0≤y≤L/4 and 0≤z≤L/4 in the state nX=2,nY=1,nZ=1 .

Answer 11

(c)

To determine

The probability that the particle will be found in the cubical volume 0≤x≤L/4 , 0≤y≤L/4 and 0≤z≤L/4 in the state nX=2,nY=1,nZ=1 .

Answer 12

Expert Solution & Answer

Answer 13

Expert Solution & Answer

Answer 14

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 15

Ch. 41.1 - Prob. 41.1TYU Ch. 41.2 - Prob. 41.2TYU Ch. 41.3 - Prob. 41.3TYU Ch. 41.4 - In this section we assumed that the magnetic field...Ch. 41.5 - In which of the following situations is the...Ch. 41.6 - Prob. 41.6TYU Ch. 41.7 - Prob. 41.7TYU Ch. 41.8 - Prob. 41.8TYU Ch. 41 - Prob. 41.1DQ Ch. 41 - Prob. 41.2DQ

The fraction of the cubical volume relative to the total volume of the box.

Solution Summary: The author calculates the tion of cubical volume relative to the total volume of the box.

The fraction of the cubical volume relative to the total volume of the box.

The probability that the particle will be found in the cubical volume 0≤x≤L/4 , 0≤y≤L/4 and 0≤z≤L/4 in the ground state.

The probability that the particle will be found in the cubical volume 0≤x≤L/4 , 0≤y≤L/4 and 0≤z≤L/4 in the state nX=2,nY=1,nZ=1 .

Want to see the full answer?

Chapter 41 Solutions