Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
(a) Show that the function Cos(nx) is the eigenfunction of the operator A What is 2 dr2 the eigenvalue of this eigenfunction?

(a) Show that the function Cos(nx) is the eigenfunction of the operator A What is 2 dr2 the eigenvalue of this eigenfunction?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
See similar textbooks
icon
Related questions
Question
100%
(a) Show that the function Cos(nx) is the eigenfunction of the operator A What is = - 2 dx2 the eigenvalue of this eigenfunction? (b) Define two operators P = and X =2x, which means P f(x) = f(x) = f'(x), 8 f(x) = 2xf(x). Are these two operators commutable? [hint: for any f (x), compute P8 f(x) and X Pf(x), and compare results.)
Transcribed Image Text:(a) Show that the function Cos(nx) is the eigenfunction of the operator A What is = - 2 dx2 the eigenvalue of this eigenfunction? (b) Define two operators P = and X =2x, which means P f(x) = f(x) = f'(x), 8 f(x) = 2xf(x). Are these two operators commutable? [hint: for any f (x), compute P8 f(x) and X Pf(x), and compare results.)
Expert Solution
steps

Step by step

Solved in 3 steps

SEE SOLUTIONCheck out a sample Q&A here
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,
SEE MORE TEXTBOOKS