So I have just started studying Quantum mechanics and like a lot, and struggling with the concepts, so it’s really difficult (if possible) to relate to reality.  Nevertheless, some intuition will still help for approaching the subject, and they include:  What is really the wave function? I know when you square is the probability function, but by itself, does it mean anything physically?  And also does a wavefunction exist in reality if it is not normalised, is there anything else other than so the area is one (when the wavefuncion is normalised)
In my textbook it is given that      'The wave function describes the position and state of the electron and its square gives the probability density of electrons.'    Can someone give me a very simple example of a wave function with explanation?  (Note: This question is not a duplicate. I have searched for other questions of this type but the answers were overwhelmingly difficult to understand.)
Take a sponge ball and compress it. The net force acting on the body is zero and the body isn't displaced.  So can we conclude that there is no work done on the ball?