I want to talk about modern physic and wave function, the probability density and a particle trapped between walls. We obtain some energy levels, valid wavelengths and some valid forms of wave function which are sinusoidal.
Physics books only say that wave functions can be one of those sinusoidal with different wavelengths but can a wave function be a combination of some of those sinusoidal functions? Why a sum of those functions is never discussed in modern physics books?
The second question: Is a particle considered as a mathematical point in quantum physic? When we talk about the probability of presence of a particle (the wave function intensity), what does it really mean? Is that particle a mass which has a volume? The probability is fundamental or it is a number which the measurement gives us?
Physics books only say that wave functions can be one of those sinusoidal with different wavelengths but can a wave function be a combination of some of those sinusoidal functions? Why a sum of those functions is never discussed in modern physics books?
The second question: Is a particle considered as a mathematical point in quantum physic? When we talk about the probability of presence of a particle (the wave function intensity), what does it really mean? Is that particle a mass which has a volume? The probability is fundamental or it is a number which the measurement gives us?