   # What are the complex conjugates of the following wavefunctions? (a) Ψ = 3 x (b) Ψ = 4 − 3 i (c) Ψ = cos 4 x (d) Ψ = − i ℏ sin 4 x (e) Ψ = e 3 ℏ ϕ (f) Ψ = e − 2 π i ϕ / ℏ ### Physical Chemistry

2nd Edition
Ball + 3 others
ISBN: 9781133958437

#### Solutions

Chapter
Section ### Physical Chemistry

2nd Edition
Ball + 3 others
ISBN: 9781133958437
Chapter 10, Problem 10.25E
Textbook Problem
1 views

## What are the complex conjugates of the following wavefunctions?(a) Ψ = 3 x (b) Ψ = 4 − 3 i (c) Ψ = cos   4 x (d) Ψ = − i ℏ   sin   4 x (e) Ψ = e 3 ℏ ϕ (f) Ψ = e − 2 π i ϕ / ℏ

Interpretation Introduction

(a)

Interpretation:

The complex conjugate of the wave function Ψ=3x 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.

0(NΨ)(NΨ*)=1

Where,

N is the normalization constant

Ψ* is the conjugate of the wave function

Ψ is the wave function

### Explanation of Solution

For the normalization of the wave function the expression is as follows.

0(NΨ)(NΨ*)=1

Where,

N

Interpretation Introduction

(b)

Interpretation:

The complex conjugate of the wave function Ψ=43i 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.

0(NΨ)(NΨ*)=1

Where,

N is the normalization constant

Ψ* is the conjugate of the wave function

Ψ is the wave function

Interpretation Introduction

(c)

Interpretation:

The complex conjugate of the wave function Ψ=cos4x 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.

0(NΨ)(NΨ*)=1

Where,

N is the normalization constant

Ψ* is the conjugate of the wave function

Ψ is the wave function

Interpretation Introduction

(d)

Interpretation:

The complex conjugate of the wave function Ψ=isin4x 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.

0(NΨ)(NΨ*)=1

Where,

N is the normalization constant

Ψ* is the conjugate of the wave function

Ψ is the wave function

Interpretation Introduction

(e)

Interpretation:

The complex conjugate of the wave function Ψ=e3ϕ 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.

0(NΨ)(NΨ*)=1

Where,

N is the normalization constant

Ψ* is the conjugate of the wave function

Ψ is the wave function

Interpretation Introduction

(f)

Interpretation:

The complex conjugate of the wave function Ψ=e2πiϕ/ 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.

0(NΨ)(NΨ*)=1

Where,

N is the normalization constant

Ψ* is the conjugate of the wave function

Ψ is the wave function

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Find more solutions based on key concepts
trong>Exercise 12.2 Write the Lewis structure for HCl.

Introductory Chemistry: A Foundation

The Dietary Guidelines for Americans recommend physical activity to help balance calorie intakes to achieve and...

Nutrition: Concepts and Controversies - Standalone book (MindTap Course List)

2-72 (Chemical Connections 2D) Bronze is an alloy of which two metals?

Introduction to General, Organic and Biochemistry

True or false? Some transgenic organisms can pass their foreign genes to offspring.

Biology: The Unity and Diversity of Life (MindTap Course List)

Two spheres are made of the same metal and have the same radius, but one is hollow and the other is solid. The ...

Physics for Scientists and Engineers, Technology Update (No access codes included)

A Show that the SI units of 1/00 are m/s.

Physics for Scientists and Engineers: Foundations and Connections 