Schrödinger operators

Schrödinger operators are mathematical tools used in quantum mechanics to describe the behavior of particles at very small scales, like atoms and subatomic particles. They originate from the Schrödinger equation, which predicts how the quantum state of a system evolves over time. Essentially, these operators help scientists calculate properties like energy levels and probabilities of finding particles in specific states or locations. Understanding these operators is essential for exploring phenomena in quantum physics, including how matter behaves in different conditions, like in solids, liquids, or gases.