Physics for Scientists and Engineers, Vol. 1
Physics for Scientists and Engineers, Vol. 1
6th Edition
ISBN: 9781429201322
Author: Paul A. Tipler, Gene Mosca
Publisher: Macmillan Higher Education
bartleby

Concept explainers

Question
Book Icon
Chapter 35, Problem 1P

(a)

To determine

The sketch of wave function.

(a)

Expert Solution
Check Mark

Explanation of Solution

Introduction:

The wave function contains all information about a system. The graph of wave function for state n=1,2,3 respectively will contain extrema as 1,2,3 respectively.

For n=5 state, the graph of wave function has 5 extrema in the interval 0<x<L . It will decay in regions 0<x and x>L as shown below.

  Physics for Scientists and Engineers, Vol. 1, Chapter 35, Problem 1P , additional homework tip  1

Figure 1

Conclusion:

Therefore, the graph of wave function has five extrema as shown in figure 1.

(b)

To determine

The sketch of probability density function.

(b)

Expert Solution
Check Mark

Explanation of Solution

Introduction:

The probability density function is the measure of the area under the curve of density function between the given intervals above the horizontal axis.

For n=5 state, the graph of probability density functionis shown below.

  Physics for Scientists and Engineers, Vol. 1, Chapter 35, Problem 1P , additional homework tip  2

Figure 2

Conclusion:

Therefore, the graph of probability density function is shown in figure 2.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!
Students have asked these similar questions
Sketch the harmonic on graphing paper.
Exercise 1: (a) Using the explicit formulae derived in the lectures for the (2j+1) × (2j + 1) repre- sentation matrices Dm'm, (J/h), derive the 3 × 3 matrices corresponding to the case j = 1. (b) Verify that they satisfy the so(3) Lie algebra commutation relation: [D(Î₁/ħ), D(Î₂/h)]m'm₁ = iƊm'm² (Ĵ3/h). (c) Prove the identity 3 Dm'm,(β) = Σ (D(Ρ)D(Ρ))m'¡m; · i=1
Sketch the harmonic.
Knowledge Booster
Background pattern image
Physics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
Modern Physics
Physics
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Cengage Learning
Text book image
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Text book image
University Physics Volume 3
Physics
ISBN:9781938168185
Author:William Moebs, Jeff Sanny
Publisher:OpenStax
Text book image
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Text book image
Classical Dynamics of Particles and Systems
Physics
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Cengage Learning