Page 44 - PRINCIPLES OF QUANTUM MECHANICS as Applied to Chemistry and Chemical Physics

Problems 35

1.4 Show that the average value of k is k 0 for the gaussian function A(k) in equation
(1.19).
1.5 Show that the gaussian functions A(k) and Ø(x, t) obey Parseval's theorem (1.18).
1.6 Show that the square pulse A(k) in equation (1.21) and the corresponding function
Ø(x, t) obey Parseval's theorem.