If two operators act on a wave function as indicated by ABf(x), it is important to carry out the operations in succession with the first operation being that nearest to the function. Mathematically, ƒ(x) = Â(Bf(x)) and A³ f(x) = Â(ƒ(x)). Part A Evaluate the following successive operations AB f(x). The operators A and B are listed in the first two columns and f(x) is listed in the third column. xe -ikz - ikx² e-ik -ikz not identical 3 sin²01 9 cos²0 24 cos sin 2xe-ika-ikx² e-ika -ikx - 2e-ikr -ikx² e-ikz a. b. C. P Pearson d. S/RS/$%& d0² Are your answers to parts a and b identical? Are your answers to parts c and d identical? Match the items in the left column to the appropriate blanks in the sentences on the right. Make certain each sentence is complete before submitting your answer. The answer for part a is The answer for part c is x² d dr d do d² d02 e-ikz e-ike 3 cos² 0-1 3 cos201 The answer for part b is The answer for part d is Copyright © 2023 Pearson Education Inc. All rights reserved. | Terms of Use | Privacy Policy | Permissions | Contact Us | Reset Help . So, the answers are So, the answers are

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
If two operators act on a wave function as indicated
by ƒ(x), it is important to carry out the
operations in succession with the first operation
being that nearest to the function. Mathematically,
ƒ(x) = Â(ƒ(x)) and
² f(x) = Â(ƒ(x)).
Part A
Evaluate the following successive operations ƒ(x). The operators and B are listed in the first two columns and f(x) is listed in the third
column.
xe
-ikx
- ikx² e-ikx
not identical
3 sin² 0 – 1
9 cos²0
24 cos sin 0
2xe-ikx
- ikx² e-ikx
-ikx 2e
-ikx² e
-ikx
-ikx
a.
b.
C.
P Pearson
d.
d
dx
Are your answers to parts a and b identical? Are your answers to parts c and d identical?
Match the items in the left column to the appropriate blanks in the sentences on the right. Make certain each sentence is complete
before submitting your answer.
x²
d²
d0²
d
de
The answer for part a is
The answer for part c is
x²
dx
282
d²
d0²
e
-ikx
-ikx
3 cos² 0-1
3 cos² 0 - 1
The answer for part b is
The answer for part d is
Copyright © 2023 Pearson Education Inc. All rights reserved. | Terms of Use | Privacy Policy | Permissions | Contact Us |
Reset Help
So, the answers are
So, the answers are
Transcribed Image Text:If two operators act on a wave function as indicated by ƒ(x), it is important to carry out the operations in succession with the first operation being that nearest to the function. Mathematically, ƒ(x) = Â(ƒ(x)) and ² f(x) = Â(ƒ(x)). Part A Evaluate the following successive operations ƒ(x). The operators and B are listed in the first two columns and f(x) is listed in the third column. xe -ikx - ikx² e-ikx not identical 3 sin² 0 – 1 9 cos²0 24 cos sin 0 2xe-ikx - ikx² e-ikx -ikx 2e -ikx² e -ikx -ikx a. b. C. P Pearson d. d dx Are your answers to parts a and b identical? Are your answers to parts c and d identical? Match the items in the left column to the appropriate blanks in the sentences on the right. Make certain each sentence is complete before submitting your answer. x² d² d0² d de The answer for part a is The answer for part c is x² dx 282 d² d0² e -ikx -ikx 3 cos² 0-1 3 cos² 0 - 1 The answer for part b is The answer for part d is Copyright © 2023 Pearson Education Inc. All rights reserved. | Terms of Use | Privacy Policy | Permissions | Contact Us | Reset Help So, the answers are So, the answers are
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,