The hydrogen atom consists of a single proton surrounded by a single electron. It is thus the simplest of all atoms. For the hydrogen atom, the (nonrelativistic) Schrödinger equation takes the form
where is the reduced mass of the nucleus and electron. This equation may be attacked in one of two ways: solution of the Schrödinger equation or using operators (matrix mechanics).
Hydrogen, Quantum Mechanics, Schrödinger Equation
References
Hänsch, T. W.; Schawlow, A. L.; and Series, G. W. "The Spectrum of Atomic Hydrogen." Sci. Amer. 240, 94, Mar. 1979.