Introduction to Quantum Mechanics · Problem 2.15

Time-Independent Schrödinger Equation — David J. Griffiths

Physics — Quantum Mechanics · hermite_polynomials

Problem

Use the recursion formula (Equation 2.85) to work out

H_5(\xi)

and

H_6(\xi)

. Invoke the convention that the coefficient of the highest power of

\xi

2^n

to fix the overall constant.