The time-independent Schrödinger equation represents a stationary-state
equation. The stationary wave functions obtained so far are time independent. Their
time-dependence is obtained by means of rather general arguments. Then, stationarystate
functions are found. The next step in Newton’s and Euler’s representations of
classical mechanics is (to derive) the equation of change of stationary-states. Here,
Euler’s principles of stationary-state change are generalized to quantum-mechanical
systems. This enables us to derive the quantum-mechanical equation of change of
stationary-states. The time-independent Schrödinger equation, i.e, the equation of
motion will follow in the next chapter.
Keywords: Equation of change of stationary-states, Euler’s principles of stationary-
state change, Stationary-state functions, Stationary wave function, Timeindependent
Schrödinger equation.
