Problem 3.1 – Griffith’s Intro to QM

Problem 3.1

(a) Show that the set of all square-integrable functions is a vector space (refer to Section A.1 for the definition). Hint: The main point is to show that the sum of two square-integrable functions is itself square-integrable. Use Equation 3.7. Is the set of all normalized functions a vector space?
(b) Show that the integral in Equation 3.6 satisfies the conditions for an inner product (Section A.2).

Solution:

Problem 3.1 Solution (Download)

Find more Griffith’s solutions here.

Do you prefer video lectures over reading a webpage? Follow us on YouTube to stay updated with the latest video content!