I'm now studying Quantum Mechanics, and I took a course on Vibration and Waves last year. I have been trying to make an analogy between classical and the quantum waves. Is it true that both the modes of a quantum and classical wave can not be excited individually?
Whenever you pluck a classical string, its motion can be described as a superposition of many different modes , n=1,2,3... you can never excite a single mode.
In analogy, can we say that whenever you try to measure the wave function, the measured value will be a composition of different eigenvalues?
Any ideas or contributions much appreciated.