An Introduction to Thermal Physics · Problem A.21

Systems of Interacting Particles — Daniel Schroeder

Physics — Statistical Mechanics · hydrogen-quantum-numbers

Problem

Enumerate the quantum numbers (

n

\ell

, and

m

) for all the independent states of a hydrogen atom with definite

E

|\vec{L}|^2

, and

L_z

, up to

n = 3

. Check that the number of independent states for level

n

is equal to

n^2