alxm said:No, the particles don't interact with themselves. (Causing quite a dilemma when developing quantum field theory!)
Yes, it's true the particle is 'in both places at once'. E.g. if you look at it from the perspective of any other particle, the second particle will interact with the first particle at both point A and B at the same time.
maxverywell said:So if the particle is 'in both places at once' why they don't interact? How QFT dealt with that?
Position eigenstates refer to the specific location or position of a particle in a given space. In quantum mechanics, a particle's position is described by a wave function, and when measured, the wave function collapses into a specific position eigenstate.
The interaction between position eigenstates is described by the concept of superposition, where the wave functions of each eigenstate combine to form a new, more complex wave function. This allows for the possibility of the particle being in multiple positions at the same time.
The uncertainty principle states that it is impossible to simultaneously know the precise position and momentum of a particle. Therefore, the interaction between position eigenstates is subject to uncertainty, as the exact position of the particle cannot be determined with absolute certainty.
The interaction between position eigenstates can change over time as the wave function evolves according to the Schrödinger equation. This results in the possibility of the particle moving from one position eigenstate to another, a phenomenon known as quantum tunneling.
Yes, the interaction between position eigenstates has been observed in various experiments, such as the double-slit experiment. This phenomenon is a fundamental aspect of quantum mechanics and has been confirmed through numerous experiments and observations.