The quantum mechanical model is a fundamental theory in physics that describes the behavior of particles at the atomic and subatomic levels. Unlike classical models, which depict electrons as fixed orbits around the nucleus, this model uses complex mathematical functions to represent the probability of finding an electron in a certain region of space. This approach accounts for the wave-particle duality of particles, such as electrons. In this model, the Schrödinger equation plays a crucial role, allowing scientists to calculate the energy levels and behaviors of electrons. The quantum mechanical model also introduces the concept of quantum states, which describe the various possible configurations of a system. This framework has been essential for advancements in fields like quantum computing and quantum chemistry.