We select for the general Equation "Schrodinger equation":giving the full explicit partial differential equation:
- , the linear cartesian coordinate in the x direction
- , which analogous to the sum of kinetic and potential energy in classical mechanics
Equation 1. Schrödinger equation for a one dimensional particle.
The corresponding time-independent Schrödinger equation for this equation is:
Equation 2. time-independent Schrödinger equation for a one dimensional particle.