This preview shows page 1. Sign up to view the full content.
Unformatted text preview: x ) A = R i 2 sin 2 ( x ) d x = Since || sin( x ) || is not one, sin( x ) is not a normalized function on 0 x 2 . If you divide by its norm, i.e. by , however, || sin( x ) / || = R i 2 (sin( x ) / )(sin( x ) / ) d x = r / = 1 2.3.6 Solution dot-f Question: Verify that the most general multiple of sin( x ) that is normalized on the interval x 2 is e i sin( x ) / where is any arbitrary real number. So, using the Euler formula,...
View Full Document
- Fall '11