About a month ago, I discovered a previously unknown solution to the simplest Schrödinger equation for the hydrogen atom.

It turns out that this wavefunction:

where J₀ is the ordinary Bessel function J₀, solves this equation:

with E=0.

What I find more surprising about the result is that it solves one of the best known equations in mathematical physics, yet has apparently remained undiscovered for over a hundred years!

Continue reading “A New Solution of Hydrogen”