An Introduction to Modern Astrophysics · Problem 5.16

Telescopes — Carroll & Ostlie

Physics — Astrophysics · quantum-numbers-hydrogen

Problem

Each quantum state of the hydrogen atom is labeled by a set of four quantum numbers:

\{n, \ell, m_\ell, m_s\}

. (a) List the sets of quantum numbers for the hydrogen atom having

n = 1

n = 2

, and

n = 3

. (b) Show that the degeneracy of energy level

n

2n^2