Demystifier said:Can you describe the motion of planets by TDSE? No? That's why.
Quantum-classical correspondence is the idea that the behavior and principles of classical mechanics should emerge from the laws of quantum mechanics in certain limit cases.
We need quantum-classical correspondence in order to better understand the relationship between classical and quantum mechanics and to bridge the gap between the two theories. It also helps us to make accurate predictions and observations of macroscopic systems, which are governed by classical mechanics.
Quantum-classical correspondence works by applying the principles and equations of quantum mechanics to macroscopic systems, which results in classical behavior and outcomes. This is known as the classical limit or decoherence.
Some applications of quantum-classical correspondence include the study of macroscopic systems such as fluids, solids, and gases, as well as the development of new technologies such as quantum computers and communication systems.
Yes, there are limitations to quantum-classical correspondence, as it does not fully explain all phenomena and behaviors observed in macroscopic systems. It also does not fully reconcile the differences between the principles of quantum and classical mechanics.