What you’ll see
Two wave-like possibilities are shown (this is an analogy). The bright blue wave is the superposition of two
waves.
What you "observe"- You can observe the behaviour of standing waves and can adjust the amplitude, frequency,
wavelength
and each variables on your wish.
Quick facts
Superposition means a quantum system can be in many states simultaneously. Measurement forces the system into
one of the possible states. The outcome is probabilistic, not deterministic. The superposition principle
states that for all linear systems, the net response caused by two or more stimuli is the vector sum of the
responses that would have been produced by each stimulus individually. So that if input A produces response x,
and input B produces response Y, then input (A+B) will produce response(x+y). It have particular Amplitude and a
particular Wave Length.
Functions
f(x) = sin x -describes a foundational, stationary sine wave (or sinusoid) that
oscillates between a maximum of 1 and a minimum of -1 with a period of 2π. Add a constant to the front of the
function f(x)=a sin x - Can now modify the amplitude, Put a variable in front of x f(x)=a sin bx Now can change
the wavelength. Now to show the aspect of moving add - c to the function f(x)= a sin (bx-c) And for continues
movement add velocity and time f(x)= a sin (bx - vt). Add another wave g(x) = A sin(Bx-VT) summation - sum of
the other two functions h(x)= f(x)+g(x)+10.
Some examples of superposition
Set same values of both waves and press time to see them stay in the phase that you press them in, If you have
one going in the opposite direction then we get constructive and destructive over a period of time, Now it is a
standing waves -Two waves that having same amplitude and same frequency, It is created by the interference of
two identical wave traveling in opposite directions.