Quantum Theory: Algebraic solution of the harmonic oscillator - 2nd Year Student Lecture

In this lecture we obtain the spectrum and eigenstates of the harmonic oscillator through algebraic methods. Our starting point is the canonical commutation relation and a key new concept is raising and lowering operators.

You can watch other lectures from the Quantum Theory course here:    • Student Lectures - Quantum Theory  

You can also watch many other student lectures via our main Student Lectures playlist (also check out specific student lectures playlists):    • Student Lectures - All lectures  

All first and second year lectures are followed by tutorials where students meet their tutor in pairs to go through the lecture and associated problem sheet and to talk and think more about the maths. Third and fourth year lectures are followed by classes.