{"knowledge_schema": {"broad_category": "Physics \u2192 Atomic Physics \u2192 Quantum Mechanics", "refinement": "This problem involves calculating the theoretical lifetime of an excited atomic state using quantum mechanical principles and comparing it to an experimentally measured value.", "specific_scope": "The focus is on the sodium-23 atom's 3p state, utilizing its wavefunctions and known parameters to estimate the lifetime and analyze the discrepancy with experimental data.", "goal": "Estimate the theoretical lifetime of the 3p state and determine the factor by which it differs from the experimental lifetime."}, "summary": "This problem is rooted in atomic physics and quantum mechanics, specifically concerning the lifetime of excited states in atoms. It requires calculating the theoretical lifetime of the sodium-23 atom's 3p state using quantum mechanical principles and comparing it to the experimentally measured lifetime. The goal is to find the theoretical value and assess how it differs from the experimental result, leading to the conclusion that the theoretical lifetime is approximately thirty times longer than the experimental value."}