RESEARCH ON THE TRANSFORMATION FROM OF QUAMTUM MECHANICS SATISFYING GALILEO'S PRINCIPLE OF RELATIVITY

This paper introduces the development of the principle of relativity from Galileo's principle of relativity to special relativity and then to general relativity. Inspired by this, we explored the transformation form of quantum mechanics to meet Galileo's principle of relativity. Firstly, from the point that unitary transformation can keep the physical laws of quantum mechanics unchanged, we correspond the momentum translation unitary transformation in quantum mechanics to the Galileo transformation in classical mechanics, and reveal that the transformation form of quantum mechanics that meets the Galileo principle of relativity can be realized through the momentum translation unitary transformation. This inquiry is conducive to students' in-depth thinking about the corresponding relationship between quantum mechanics and classical physics, can help beginners reduce the conflict between quantum physics and classical physics, and help students build a bridge from classical to quantum thinking.