The probability of finding an electron with the linear momentum of + k ℏ for the wavefunction, ψ = ( cos χ ) e i k x + ( sin χ ) e − i k x has to be stated. Concept introduction: In quantum mechanics , the wavefunction is given by ψ . The wavefunction contains all the information about the state of the system. The wavefunction is the function of the coordinates of particles and time. The square of the probability function, ψ 2 , relates to the probability density.

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Answer 1

Question

Chapter 7, Problem 7C.8P

(a)

Interpretation Introduction

Interpretation:

The probability of finding an electron with the linear momentum of +kℏ for the wavefunction, ψ=(cosχ)eikx+(sinχ)e−ikx has to be stated.

Concept introduction:

In quantum mechanics, the wavefunction is given by ψ. The wavefunction contains all the information about the state of the system. The wavefunction is the function of the coordinates of particles and time. The square of the probability function, ψ2, relates to the probability density.

(b)

Interpretation Introduction

Interpretation:

The probability of finding an electron with the linear momentum of −kℏ for the wavefunction, ψ=(cosχ)eikx+(sinχ)e−ikx has to be stated.

Concept introduction:

In quantum mechanics, the wavefunction is given by ψ. The wavefunction contains all the information about the state of the system. The wavefunction is the function of the coordinates of particles and time. The square of the probability function, ψ2, relates to the probability density.

(c)

Interpretation Introduction

Interpretation:

The form of wavefunction having 90 % probability of finding the electron with momentum +kℏ has to be stated.

Concept introduction:

In quantum mechanics, the wavefunction is given by ψ. The wavefunction contains all the information about the state of the system. The wavefunction is the function of the coordinates of particles and time. The square of the probability function, ψ2, relates to the probability density.

(d)

Interpretation Introduction

Interpretation:

The kinetic energy of the electron has to be calculated.

Concept introduction:

In quantum mechanics, the wavefunction is given by ψ. The wavefunction contains all the information about the state of the system. The wavefunction is the function of the coordinates of particles and time. The square of the probability function, ψ2, relates to the probability density.

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Answer 2

Question

Chapter 7, Problem 7C.8P

(a)

Interpretation Introduction

Interpretation:

The probability of finding an electron with the linear momentum of +kℏ for the wavefunction, ψ=(cosχ)eikx+(sinχ)e−ikx has to be stated.

Concept introduction:

In quantum mechanics, the wavefunction is given by ψ. The wavefunction contains all the information about the state of the system. The wavefunction is the function of the coordinates of particles and time. The square of the probability function, ψ2, relates to the probability density.

(b)

Interpretation Introduction

Interpretation:

The probability of finding an electron with the linear momentum of −kℏ for the wavefunction, ψ=(cosχ)eikx+(sinχ)e−ikx has to be stated.

Concept introduction:

In quantum mechanics, the wavefunction is given by ψ. The wavefunction contains all the information about the state of the system. The wavefunction is the function of the coordinates of particles and time. The square of the probability function, ψ2, relates to the probability density.

(c)

Interpretation Introduction

Interpretation:

The form of wavefunction having 90 % probability of finding the electron with momentum +kℏ has to be stated.

Concept introduction:

In quantum mechanics, the wavefunction is given by ψ. The wavefunction contains all the information about the state of the system. The wavefunction is the function of the coordinates of particles and time. The square of the probability function, ψ2, relates to the probability density.

(d)

Interpretation Introduction

Interpretation:

The kinetic energy of the electron has to be calculated.

Concept introduction:

In quantum mechanics, the wavefunction is given by ψ. The wavefunction contains all the information about the state of the system. The wavefunction is the function of the coordinates of particles and time. The square of the probability function, ψ2, relates to the probability density.

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Answer 3

Question

Chapter 7, Problem 7C.8P

(a)

Interpretation Introduction

Interpretation:

The probability of finding an electron with the linear momentum of +kℏ for the wavefunction, ψ=(cosχ)eikx+(sinχ)e−ikx has to be stated.

Concept introduction:

In quantum mechanics, the wavefunction is given by ψ. The wavefunction contains all the information about the state of the system. The wavefunction is the function of the coordinates of particles and time. The square of the probability function, ψ2, relates to the probability density.

(b)

Interpretation Introduction

Interpretation:

The probability of finding an electron with the linear momentum of −kℏ for the wavefunction, ψ=(cosχ)eikx+(sinχ)e−ikx has to be stated.

Concept introduction:

In quantum mechanics, the wavefunction is given by ψ. The wavefunction contains all the information about the state of the system. The wavefunction is the function of the coordinates of particles and time. The square of the probability function, ψ2, relates to the probability density.

(c)

Interpretation Introduction

Interpretation:

The form of wavefunction having 90 % probability of finding the electron with momentum +kℏ has to be stated.

Concept introduction:

In quantum mechanics, the wavefunction is given by ψ. The wavefunction contains all the information about the state of the system. The wavefunction is the function of the coordinates of particles and time. The square of the probability function, ψ2, relates to the probability density.

(d)

Interpretation Introduction

Interpretation:

The kinetic energy of the electron has to be calculated.

Concept introduction:

In quantum mechanics, the wavefunction is given by ψ. The wavefunction contains all the information about the state of the system. The wavefunction is the function of the coordinates of particles and time. The square of the probability function, ψ2, relates to the probability density.

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Answer 4

Question

Chapter 7, Problem 7C.8P

(a)

Interpretation Introduction

Interpretation:

The probability of finding an electron with the linear momentum of +kℏ for the wavefunction, ψ=(cosχ)eikx+(sinχ)e−ikx has to be stated.

Concept introduction:

In quantum mechanics, the wavefunction is given by ψ. The wavefunction contains all the information about the state of the system. The wavefunction is the function of the coordinates of particles and time. The square of the probability function, ψ2, relates to the probability density.

(b)

Interpretation Introduction

Interpretation:

The probability of finding an electron with the linear momentum of −kℏ for the wavefunction, ψ=(cosχ)eikx+(sinχ)e−ikx has to be stated.

Concept introduction:

In quantum mechanics, the wavefunction is given by ψ. The wavefunction contains all the information about the state of the system. The wavefunction is the function of the coordinates of particles and time. The square of the probability function, ψ2, relates to the probability density.

(c)

Interpretation Introduction

Interpretation:

The form of wavefunction having 90 % probability of finding the electron with momentum +kℏ has to be stated.

Concept introduction:

In quantum mechanics, the wavefunction is given by ψ. The wavefunction contains all the information about the state of the system. The wavefunction is the function of the coordinates of particles and time. The square of the probability function, ψ2, relates to the probability density.

(d)

Interpretation Introduction

Interpretation:

The kinetic energy of the electron has to be calculated.

Concept introduction:

In quantum mechanics, the wavefunction is given by ψ. The wavefunction contains all the information about the state of the system. The wavefunction is the function of the coordinates of particles and time. The square of the probability function, ψ2, relates to the probability density.

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Answer 5

Chapter 7, Problem 7C.8P

(a)

Interpretation Introduction

Interpretation:

The probability of finding an electron with the linear momentum of +kℏ for the wavefunction, ψ=(cosχ)eikx+(sinχ)e−ikx has to be stated.

Concept introduction:

In quantum mechanics, the wavefunction is given by ψ. The wavefunction contains all the information about the state of the system. The wavefunction is the function of the coordinates of particles and time. The square of the probability function, ψ2, relates to the probability density.

(b)

Interpretation Introduction

Interpretation:

The probability of finding an electron with the linear momentum of −kℏ for the wavefunction, ψ=(cosχ)eikx+(sinχ)e−ikx has to be stated.

Concept introduction:

In quantum mechanics, the wavefunction is given by ψ. The wavefunction contains all the information about the state of the system. The wavefunction is the function of the coordinates of particles and time. The square of the probability function, ψ2, relates to the probability density.

(c)

Interpretation Introduction

Interpretation:

The form of wavefunction having 90 % probability of finding the electron with momentum +kℏ has to be stated.

Concept introduction:

In quantum mechanics, the wavefunction is given by ψ. The wavefunction contains all the information about the state of the system. The wavefunction is the function of the coordinates of particles and time. The square of the probability function, ψ2, relates to the probability density.

(d)

Interpretation Introduction

Interpretation:

The kinetic energy of the electron has to be calculated.

Concept introduction:

In quantum mechanics, the wavefunction is given by ψ. The wavefunction contains all the information about the state of the system. The wavefunction is the function of the coordinates of particles and time. The square of the probability function, ψ2, relates to the probability density.

Answer 6

Chapter 7, Problem 7C.8P

(a)

Interpretation Introduction

Interpretation:

The probability of finding an electron with the linear momentum of +kℏ for the wavefunction, ψ=(cosχ)eikx+(sinχ)e−ikx has to be stated.

Concept introduction:

In quantum mechanics, the wavefunction is given by ψ. The wavefunction contains all the information about the state of the system. The wavefunction is the function of the coordinates of particles and time. The square of the probability function, ψ2, relates to the probability density.

Answer 7

Chapter 7, Problem 7C.8P

(a)

Interpretation Introduction

Interpretation:

The probability of finding an electron with the linear momentum of +kℏ for the wavefunction, ψ=(cosχ)eikx+(sinχ)e−ikx has to be stated.

Concept introduction:

In quantum mechanics, the wavefunction is given by ψ. The wavefunction contains all the information about the state of the system. The wavefunction is the function of the coordinates of particles and time. The square of the probability function, ψ2, relates to the probability density.

Answer 8

(b)

Interpretation Introduction

Interpretation:

The probability of finding an electron with the linear momentum of −kℏ for the wavefunction, ψ=(cosχ)eikx+(sinχ)e−ikx has to be stated.

Concept introduction:

In quantum mechanics, the wavefunction is given by ψ. The wavefunction contains all the information about the state of the system. The wavefunction is the function of the coordinates of particles and time. The square of the probability function, ψ2, relates to the probability density.

Answer 9

(b)

Interpretation Introduction

Interpretation:

The probability of finding an electron with the linear momentum of −kℏ for the wavefunction, ψ=(cosχ)eikx+(sinχ)e−ikx has to be stated.

Concept introduction:

In quantum mechanics, the wavefunction is given by ψ. The wavefunction contains all the information about the state of the system. The wavefunction is the function of the coordinates of particles and time. The square of the probability function, ψ2, relates to the probability density.

Answer 10

(c)

Interpretation Introduction

Interpretation:

The form of wavefunction having 90 % probability of finding the electron with momentum +kℏ has to be stated.

Concept introduction:

In quantum mechanics, the wavefunction is given by ψ. The wavefunction contains all the information about the state of the system. The wavefunction is the function of the coordinates of particles and time. The square of the probability function, ψ2, relates to the probability density.

Answer 11

(c)

Interpretation Introduction

Interpretation:

The form of wavefunction having 90 % probability of finding the electron with momentum +kℏ has to be stated.

Concept introduction:

In quantum mechanics, the wavefunction is given by ψ. The wavefunction contains all the information about the state of the system. The wavefunction is the function of the coordinates of particles and time. The square of the probability function, ψ2, relates to the probability density.

Answer 12

(d)

Interpretation Introduction

Interpretation:

The kinetic energy of the electron has to be calculated.

Concept introduction:

In quantum mechanics, the wavefunction is given by ψ. The wavefunction contains all the information about the state of the system. The wavefunction is the function of the coordinates of particles and time. The square of the probability function, ψ2, relates to the probability density.

Answer 13

(d)

Interpretation Introduction

Interpretation:

The kinetic energy of the electron has to be calculated.

Concept introduction:

In quantum mechanics, the wavefunction is given by ψ. The wavefunction contains all the information about the state of the system. The wavefunction is the function of the coordinates of particles and time. The square of the probability function, ψ2, relates to the probability density.

Answer 14

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Answer 15

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Answer 16

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Answer 17

Ch. 7 - Prob. 7A.1ST Ch. 7 - Prob. 7A.2ST Ch. 7 - Prob. 7A.3ST Ch. 7 - Prob. 7B.1ST Ch. 7 - Prob. 7B.2ST Ch. 7 - Prob. 7B.3ST Ch. 7 - Prob. 7C.1ST Ch. 7 - Prob. 7C.2ST Ch. 7 - Prob. 7C.3ST Ch. 7 - Prob. 7C.4ST

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