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

Part 3: AHm,system Mass of 1.00 M HCI Vol. of 1.00 M HCI Mass of NaOH(s) Total Mass in Calorimeter Mole product if HCI limiting reactant Trial 1 62.4009 1.511g Mole product if NaOH limiting reactant Limiting reactant Initial Temperature Final Temperature 23.8°C 37.6°C Change in Temperature AHm,system (calculated) Average AHm,system (calculated) (calculated) (calculated) Trial 2 64.006g 1.9599 (calculated) (calculated) (calculated) (calculated) (calculated) (calculated) 24.7°C 41.9°C (calculated) (calculated) (2 pts. each)

Don't used Ai solution

What is the numerical value of the slope using the equation y=-1.823x -0.0162 please show calculations

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