{"knowledge_schema": {"broad_category": "Physics \u2192 Quantum Mechanics \u2192 Energy Levels and Lifetimes", "refinement": "This problem involves the relationship between the energy difference of quantum states and their lifetimes, specifically using the energy-time uncertainty principle.", "specific_scope": "The focus is on calculating the minimum energy difference required to distinguish between two quantum states with given lifetimes.", "goal": "Determine the minimum energy difference between two quantum states based on their lifetimes using the energy-time uncertainty principle."}, "summary": "This problem relates to quantum mechanics, specifically the energy-time uncertainty principle, which states that the uncertainty in energy (\u0394E) and the uncertainty in time (\u0394t) are inversely related. Given the lifetimes of two quantum states, we can calculate the minimum energy difference required to distinguish between them. The goal is to find this energy difference based on the provided lifetimes, leading to the conclusion that the minimum energy difference is 10^-4 eV."}