Hello: I obtained the next expression using the integral Schrödinger equation for the Hydrogen atom. I am trying to express the final in function of the parameter a. I have used many things but nothing has worked. I really appreciate your help.
A variation:
expr = -E^(-m q^2 r/(4 \[Pi] h^2 eo)) h^2/(8 \[Pi]^2 Sqrt[ h^6 eo^3/(m^3 q^6)] h^2) repl = Solve[(4 Pi eo h^2)/(m q^2) == a, m][[1]] expr /. repl
Pattern matching can be pretty literal sometimes.
Try
-E^(-m q^2 r/(4 π h^2 eo))h^2/(8 π^2 Sqrt[h^6 eo^3/(m^3 q^6)]h^2)/.-m q^2/(4 π h^2 eo)->-1/a
and see if that works for you