The wave function ψ ∼ 12 ( x ∼ , y ∼ ) for a particle in square box should be written and should have convinced it is degenerate with ψ ∼ 21 ( x ∼ , y ∼ ) Concept introduction: The function which describes the position of an electron and quantum state of an isolated quantum system is known as wave function. The general formula of the wave function for a particle in a square box is: ψ n x n y ( x , y ) = 2 L sin ( n x π x L ) sin ( n y π y L ) Where, ψ n x n y ( x , y ) is wave function and n x , n y have values 1, 2, 3 etc. L = length of the box.

Question

Want to see the full answer?

Answer 1

Question

Chapter 4, Problem 41P

(a)

Interpretation Introduction

Interpretation:

The wave function ψ∼12(x∼,y∼) for a particle in square box should be written and should have convinced it is degenerate with ψ∼21(x∼,y∼)

Concept introduction:

The function which describes the position of an electron and quantum state of an isolated quantum system is known as wave function.

The general formula of the wave function for a particle in a square box is:

ψnxny(x,y)=2Lsin(nxπxL)sin(nyπyL)

Where, ψnxny(x,y) is wave function and nx,ny have values 1, 2, 3 etc.

L = length of the box.

(b)

Interpretation Introduction

Interpretation:

It should be convinced that plot of ψ∼12(x∼,y∼) are same as ψ∼21(x∼,y∼) rotated by 90 degrees in the x-y plane.

Concept introduction:

The function which describes the position of an electron and quantum state of an isolated quantum system is known as wave function.

The general formula of the wave function for a particle in a square box is:

ψnxny(x,y)=2Lsin(nxπxL)sin(nyπyL)

Where, ψnxny(x,y) is wave function and nx,ny have values 1, 2, 3 etc.

L = length of the box.

(c)

Interpretation Introduction

Interpretation:

The reason should be explained physically for the relation of two sets of plots.

Concept introduction:

The function which describes the position of an electron and quantum state of an isolated quantum system is known as wave function.

The general formula of the wave function for a particle in a square box is:

ψnxny(x,y)=2Lsin(nxπxL)sin(nyπyL)

Where, ψnxny(x,y) is wave function and nx,ny have values 1, 2, 3 etc.

L = length of the box.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Students have asked these similar questions

I have some reactions here for which I need to predict the products. Can you help me solve them and rewrite the equations, as well as identify the type of reaction? Please explain it to me.I have some reactions here for which I need to predict the products. Can you help me solve them and rewrite the equations, as well as identify the type of reaction? Please explain it to m

Don't used hand raiting and don't used Ai solution

Could you explain and label how this was determined for the functional groups? Please highlight the areas and show me as well.

Answer 2

Question

Chapter 4, Problem 41P

(a)

Interpretation Introduction

Interpretation:

The wave function ψ∼12(x∼,y∼) for a particle in square box should be written and should have convinced it is degenerate with ψ∼21(x∼,y∼)

Concept introduction:

The function which describes the position of an electron and quantum state of an isolated quantum system is known as wave function.

The general formula of the wave function for a particle in a square box is:

ψnxny(x,y)=2Lsin(nxπxL)sin(nyπyL)

Where, ψnxny(x,y) is wave function and nx,ny have values 1, 2, 3 etc.

L = length of the box.

(b)

Interpretation Introduction

Interpretation:

It should be convinced that plot of ψ∼12(x∼,y∼) are same as ψ∼21(x∼,y∼) rotated by 90 degrees in the x-y plane.

Concept introduction:

The function which describes the position of an electron and quantum state of an isolated quantum system is known as wave function.

The general formula of the wave function for a particle in a square box is:

ψnxny(x,y)=2Lsin(nxπxL)sin(nyπyL)

Where, ψnxny(x,y) is wave function and nx,ny have values 1, 2, 3 etc.

L = length of the box.

(c)

Interpretation Introduction

Interpretation:

The reason should be explained physically for the relation of two sets of plots.

Concept introduction:

The function which describes the position of an electron and quantum state of an isolated quantum system is known as wave function.

The general formula of the wave function for a particle in a square box is:

ψnxny(x,y)=2Lsin(nxπxL)sin(nyπyL)

Where, ψnxny(x,y) is wave function and nx,ny have values 1, 2, 3 etc.

L = length of the box.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 3

Question

Chapter 4, Problem 41P

(a)

Interpretation Introduction

Interpretation:

The wave function ψ∼12(x∼,y∼) for a particle in square box should be written and should have convinced it is degenerate with ψ∼21(x∼,y∼)

Concept introduction:

The function which describes the position of an electron and quantum state of an isolated quantum system is known as wave function.

The general formula of the wave function for a particle in a square box is:

ψnxny(x,y)=2Lsin(nxπxL)sin(nyπyL)

Where, ψnxny(x,y) is wave function and nx,ny have values 1, 2, 3 etc.

L = length of the box.

(b)

Interpretation Introduction

Interpretation:

It should be convinced that plot of ψ∼12(x∼,y∼) are same as ψ∼21(x∼,y∼) rotated by 90 degrees in the x-y plane.

Concept introduction:

The function which describes the position of an electron and quantum state of an isolated quantum system is known as wave function.

The general formula of the wave function for a particle in a square box is:

ψnxny(x,y)=2Lsin(nxπxL)sin(nyπyL)

Where, ψnxny(x,y) is wave function and nx,ny have values 1, 2, 3 etc.

L = length of the box.

(c)

Interpretation Introduction

Interpretation:

The reason should be explained physically for the relation of two sets of plots.

Concept introduction:

The function which describes the position of an electron and quantum state of an isolated quantum system is known as wave function.

The general formula of the wave function for a particle in a square box is:

ψnxny(x,y)=2Lsin(nxπxL)sin(nyπyL)

Where, ψnxny(x,y) is wave function and nx,ny have values 1, 2, 3 etc.

L = length of the box.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 4, Problem 41P

(a)

Interpretation Introduction

Interpretation:

The wave function ψ∼12(x∼,y∼) for a particle in square box should be written and should have convinced it is degenerate with ψ∼21(x∼,y∼)

Concept introduction:

The function which describes the position of an electron and quantum state of an isolated quantum system is known as wave function.

The general formula of the wave function for a particle in a square box is:

ψnxny(x,y)=2Lsin(nxπxL)sin(nyπyL)

Where, ψnxny(x,y) is wave function and nx,ny have values 1, 2, 3 etc.

L = length of the box.

(b)

Interpretation Introduction

Interpretation:

It should be convinced that plot of ψ∼12(x∼,y∼) are same as ψ∼21(x∼,y∼) rotated by 90 degrees in the x-y plane.

Concept introduction:

The function which describes the position of an electron and quantum state of an isolated quantum system is known as wave function.

The general formula of the wave function for a particle in a square box is:

ψnxny(x,y)=2Lsin(nxπxL)sin(nyπyL)

Where, ψnxny(x,y) is wave function and nx,ny have values 1, 2, 3 etc.

L = length of the box.

(c)

Interpretation Introduction

Interpretation:

The reason should be explained physically for the relation of two sets of plots.

Concept introduction:

The function which describes the position of an electron and quantum state of an isolated quantum system is known as wave function.

The general formula of the wave function for a particle in a square box is:

ψnxny(x,y)=2Lsin(nxπxL)sin(nyπyL)

Where, ψnxny(x,y) is wave function and nx,ny have values 1, 2, 3 etc.

L = length of the box.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 5

Chapter 4, Problem 41P

(a)

Interpretation Introduction

Interpretation:

The wave function ψ∼12(x∼,y∼) for a particle in square box should be written and should have convinced it is degenerate with ψ∼21(x∼,y∼)

Concept introduction:

The function which describes the position of an electron and quantum state of an isolated quantum system is known as wave function.

The general formula of the wave function for a particle in a square box is:

ψnxny(x,y)=2Lsin(nxπxL)sin(nyπyL)

Where, ψnxny(x,y) is wave function and nx,ny have values 1, 2, 3 etc.

L = length of the box.

(b)

Interpretation Introduction

Interpretation:

It should be convinced that plot of ψ∼12(x∼,y∼) are same as ψ∼21(x∼,y∼) rotated by 90 degrees in the x-y plane.

Concept introduction:

The function which describes the position of an electron and quantum state of an isolated quantum system is known as wave function.

The general formula of the wave function for a particle in a square box is:

ψnxny(x,y)=2Lsin(nxπxL)sin(nyπyL)

Where, ψnxny(x,y) is wave function and nx,ny have values 1, 2, 3 etc.

L = length of the box.

(c)

Interpretation Introduction

Interpretation:

The reason should be explained physically for the relation of two sets of plots.

Concept introduction:

The function which describes the position of an electron and quantum state of an isolated quantum system is known as wave function.

The general formula of the wave function for a particle in a square box is:

ψnxny(x,y)=2Lsin(nxπxL)sin(nyπyL)

Where, ψnxny(x,y) is wave function and nx,ny have values 1, 2, 3 etc.

L = length of the box.

Answer 6

Chapter 4, Problem 41P

(a)

Interpretation Introduction

Interpretation:

The wave function ψ∼12(x∼,y∼) for a particle in square box should be written and should have convinced it is degenerate with ψ∼21(x∼,y∼)

Concept introduction:

The function which describes the position of an electron and quantum state of an isolated quantum system is known as wave function.

The general formula of the wave function for a particle in a square box is:

ψnxny(x,y)=2Lsin(nxπxL)sin(nyπyL)

Where, ψnxny(x,y) is wave function and nx,ny have values 1, 2, 3 etc.

L = length of the box.

Answer 7

Chapter 4, Problem 41P

(a)

Interpretation Introduction

Interpretation:

The wave function ψ∼12(x∼,y∼) for a particle in square box should be written and should have convinced it is degenerate with ψ∼21(x∼,y∼)

Concept introduction:

The function which describes the position of an electron and quantum state of an isolated quantum system is known as wave function.

The general formula of the wave function for a particle in a square box is:

ψnxny(x,y)=2Lsin(nxπxL)sin(nyπyL)

Where, ψnxny(x,y) is wave function and nx,ny have values 1, 2, 3 etc.

L = length of the box.

Answer 8

(b)

Interpretation Introduction

Interpretation:

It should be convinced that plot of ψ∼12(x∼,y∼) are same as ψ∼21(x∼,y∼) rotated by 90 degrees in the x-y plane.

Concept introduction:

The function which describes the position of an electron and quantum state of an isolated quantum system is known as wave function.

The general formula of the wave function for a particle in a square box is:

ψnxny(x,y)=2Lsin(nxπxL)sin(nyπyL)

Where, ψnxny(x,y) is wave function and nx,ny have values 1, 2, 3 etc.

L = length of the box.

Answer 9

(b)

Interpretation Introduction

Interpretation:

It should be convinced that plot of ψ∼12(x∼,y∼) are same as ψ∼21(x∼,y∼) rotated by 90 degrees in the x-y plane.

Concept introduction:

The function which describes the position of an electron and quantum state of an isolated quantum system is known as wave function.

The general formula of the wave function for a particle in a square box is:

ψnxny(x,y)=2Lsin(nxπxL)sin(nyπyL)

Where, ψnxny(x,y) is wave function and nx,ny have values 1, 2, 3 etc.

L = length of the box.

Answer 10

(c)

Interpretation Introduction

Interpretation:

The reason should be explained physically for the relation of two sets of plots.

Concept introduction:

The function which describes the position of an electron and quantum state of an isolated quantum system is known as wave function.

The general formula of the wave function for a particle in a square box is:

ψnxny(x,y)=2Lsin(nxπxL)sin(nyπyL)

Where, ψnxny(x,y) is wave function and nx,ny have values 1, 2, 3 etc.

L = length of the box.

Answer 11

(c)

Interpretation Introduction

Interpretation:

The reason should be explained physically for the relation of two sets of plots.

Concept introduction:

The function which describes the position of an electron and quantum state of an isolated quantum system is known as wave function.

The general formula of the wave function for a particle in a square box is:

ψnxny(x,y)=2Lsin(nxπxL)sin(nyπyL)

Where, ψnxny(x,y) is wave function and nx,ny have values 1, 2, 3 etc.

L = length of the box.

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. 4 - Some water waves reach the beach at a rate of one...Ch. 4 - The spacing between bands of color in a chemical...Ch. 4 - An FM radio station broadcasts at a frequency of...Ch. 4 - The gamma rays emitted by 60Co are used in...Ch. 4 - Radio waves of wavelength 6.00102m can be used to...Ch. 4 - An argon ion laser emits light of wavelength of...Ch. 4 - The speed of sound in dry air at 20°C is 343.5ms1...Ch. 4 - Ultrasonic waves have frequencies too high to be...Ch. 4 - The maximum in the blackbody radiation intensity...Ch. 4 - Use the data in Figure 4.8 to estimate the ratio...

Concept explainers

Want to see the full answer?

Chapter 4 Solutions