Chapter 10, Problem 10.25E

Interpretation Introduction

(a)

Interpretation:

The complex conjugate of the wave function $\Psi =3\text{x}$ is to be stated.

Concept introduction:

For the normalization of the wave function, the wave function is integrated as a product of its conjugate over the entire limits. It is expressed by the equation as given below.

${\displaystyle \underset{0}{\overset{\infty }{\int }}\left(N\Psi \right)\left(N{\Psi }^{*}\right)}=1$

Where,

• $N$ is the normalization constant

• ${\Psi }^{*}$ is the conjugate of the wave function

• $\Psi$ is the wave function

Interpretation Introduction

(b)

Interpretation:

The complex conjugate of the wave function $\Psi =4-3i$ is to be stated.

Concept introduction:

For the normalization of the wave function, the wave function is integrated as a product of its conjugate over the entire limits. It is expressed by the equation as given below.

${\displaystyle \underset{0}{\overset{\infty }{\int }}\left(N\Psi \right)\left(N{\Psi }^{*}\right)}=1$

Where,

• $N$ is the normalization constant

• ${\Psi }^{*}$ is the conjugate of the wave function

• $\Psi$ is the wave function

Interpretation Introduction

(c)

Interpretation:

The complex conjugate of the wave function $\Psi =\cos 4\text{x}$ is to be stated.

Concept introduction:

For the normalization of the wave function, the wave function is integrated as a product of its conjugate over the entire limits. It is expressed by the equation as given below.

${\displaystyle \underset{0}{\overset{\infty }{\int }}\left(N\Psi \right)\left(N{\Psi }^{*}\right)}=1$

Where,

• $N$ is the normalization constant

• ${\Psi }^{*}$ is the conjugate of the wave function

• $\Psi$ is the wave function

Interpretation Introduction

(d)

Interpretation:

The complex conjugate of the wave function $\Psi =-i\hslash \sin 4\text{x}$ is to be stated.

Concept introduction:

For the normalization of the wave function, the wave function is integrated as a product of its conjugate over the entire limits. It is expressed by the equation as given below.

${\displaystyle \underset{0}{\overset{\infty }{\int }}\left(N\Psi \right)\left(N{\Psi }^{*}\right)}=1$

Where,

• $N$ is the normalization constant

• ${\Psi }^{*}$ is the conjugate of the wave function

• $\Psi$ is the wave function

Interpretation Introduction

(e)

Interpretation:

The complex conjugate of the wave function $\Psi =e^{3\hslash \varphi }$ is to be stated.

Concept introduction:

For the normalization of the wave function, the wave function is integrated as a product of its conjugate over the entire limits. It is expressed by the equation as given below.

${\displaystyle \underset{0}{\overset{\infty }{\int }}\left(N\Psi \right)\left(N{\Psi }^{*}\right)}=1$

Where,

• $N$ is the normalization constant

• ${\Psi }^{*}$ is the conjugate of the wave function

• $\Psi$ is the wave function

Interpretation Introduction

(f)

Interpretation:

The complex conjugate of the wave function $\Psi =e^{-2\pi i\varphi /\hslash }$ is to be stated.

Concept introduction:

For the normalization of the wave function, the wave function is integrated as a product of its conjugate over the entire limits. It is expressed by the equation as given below.

${\displaystyle \underset{0}{\overset{\infty }{\int }}\left(N\Psi \right)\left(N{\Psi }^{*}\right)}=1$

Where,

• $N$ is the normalization constant

• ${\Psi }^{*}$ is the conjugate of the wave function

• $\Psi$ is the wave function