# Dirac Equation - Analytic Solution?

Gold Member

## Main Question or Discussion Point

The quantum harmonic oscillator is an analytic solution of the Schrodinger Equation. Does the original Dirac Equation for a free electron also have an analytic solution? Of course a "solution" of the Dirac Equation would consist of 4 functions.

Related Quantum Physics News on Phys.org
MathematicalPhysicist
Gold Member
If there were such a solution you'd definitely would find it in Wiki entry.

George Jones
Staff Emeritus
Gold Member

"Dirac equation" hydrogen

dextercioby
Homework Helper
The harmonic oscillation is not modeled in the context of Dirac's equation, unless one leaves particle dynamics aside and does quantum field theory.

Avodyne