Consider the function ƒ = kre¯¹¹²ª sin0 e¯ where k is constant and the operator 2² 20² 2 = -ħ² + cote. 20 + 1 2² 2 sin²0 20²

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider the function
f = kre¹2a sine where k is constant
and the operator
2=-ħ² 2
2²
20²
-ip
1
2²
2
2
de sin²0 ap²
20
+ cote. +
Show that f is an eigenfunction of 2.
What is the eigenvalue?
Transcribed Image Text:Consider the function f = kre¹2a sine where k is constant and the operator 2=-ħ² 2 2² 20² -ip 1 2² 2 2 de sin²0 ap² 20 + cote. + Show that f is an eigenfunction of 2. What is the eigenvalue?
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