Think a flame kindled on a candle.
While the candle is held stationary, the flame stands up and keeps its shape constant.
If the candle is nudged suddenly and is kept being moving that way by a constant velocity, then the shape of flame will be slanted more or less.
Then think a wave function of a some gas molecule.
While the molecule does not encounter with another molecule, its wave function may evolve in its own way in accordance with Schroedinger equation.
Then think a collision of this molecule with another molecule, and assume there is no energy exchange.
Will the wave function of this molecule be deformed by the acceleration caused by the collision?
In the case of candle, there was the medium, that is, the atmosphere.
Then how about the case of wave function of the gas molecule?
Does an ether for wave function exist?
My question is asking how will a wave function in an inertial system looks like from another inertial syatem.
Does it simply obey the Lorentz transformation of coordinates and time?