symmetry in quantum mechanics

Symmetry in quantum mechanics refers to properties of a physical system that remain unchanged under certain transformations, like shifting in space or flipping in perspective. These invariances mean the system's fundamental laws behave consistently despite these changes. For example, if swapping two particles or rotating an object doesn't alter the system's behavior, it's considered symmetric. Recognizing these symmetries helps physicists predict behaviors, conserve quantities like momentum or charge, and understand the fundamental nature of particles and forces at the quantum level. Essentially, symmetry reveals the underlying order and simplicity within complex quantum phenomena.