## The Schrödinger Wave Equation

The normal equation we get, for waves on a string or on water, relates the second space derivative to the second time derivative. The Schrödinger equation uses only the first time derivative, however, the addition of the relates the real part of the wave function to the imaginary part, in effect shifting the phase by 90 degrees as the 2nd derivative would do.

The Schrödinger equation is built for complex wave functions.

When Dirac tried to make a relativistic version of the equation, where the energy relation is a bit more complicated, he discovered new physics.

Gasiorowicz Chapter 3

Griffiths Chapter 1

Cohen-Tannoudji et al. Chapter

Jim Branson 2013-04-22