The Time independent Schrodinger Equation - a brief introduction
The three dimensional time independent Schrodinger equation is shown in equation 1, using standard Cartesian coordinates (X,Y,Z).
The Schrodinger equation is the quantum mechanical version of the conservation of energy. In Newtonian mechanics the conservation of energy looks like equation 20:
The passing similarities between the quantum mechanical expression and the Newtonian expression are given here only as an aid to an intuitive grasp of the Schrodinger equation.