Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 12: Q8-5P (page 562)

Find the norm of each of the following functions on the given interval and state the normalized functionXe-X2/2on(0,∞)

Short Answer

Expert verified


Step by step solution

01

Concept of normalization factor


02

Calculate the norm of the function

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

To show that, ττx/2J1/2(x)=sinx.

Use the Section 15 recursion relations and (17.4) to obtain the following recursion relations for spherical Bessel functions. We have written them for jn, but they are valid for ynand for the hn

(ddx)jn(x)=jn-1(x)-(n+1)jn(x)/x

To sketch the graph of xJ12(x)for x from 0 to π.

Show that dl-m/dxl-m (x2-1)l=(l-m)!/(l+m)! (x2-1)m dl+m/dxl+m (x2-1)l.

Hint: Write(x2-1)l=(x-1)l(x+1)land find the derivatives by Leibniz' rule.

To show thatlimx→0x-3/2J3/2(x)=3-12/π .
See all solutions

Recommended explanations on Physics Textbooks

Particle Model of Matter

Read Explanation

Astrophysics

Read Explanation

Medical Physics

Read Explanation

Energy Physics

Read Explanation

Nuclear Physics

Read Explanation

Electricity and Magnetism

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free