{"knowledge_schema": {"broad_category": "Physics \u2192 Quantum Mechanics \u2192 Harmonic Oscillator", "refinement": "This problem involves calculating the energy levels of a quantum harmonic oscillator, which is a fundamental model in quantum mechanics.", "specific_scope": "The specific case considers a three-dimensional isotropic harmonic oscillator with given quantum numbers n, l, and m.", "goal": "Determine the energy of the quantum state characterized by the quantum numbers n=2, l=1, m=0."}, "summary": "In this problem, we are tasked with finding the energy of a quantum state in a three-dimensional isotropic harmonic oscillator potential. The energy levels of such a system are determined by the quantum numbers n, l, and m. For the given state with n=2, l=1, and m=0, we can use the formula for the energy levels of a harmonic oscillator, which leads us to the conclusion that the energy of this state is (7/2) \u0127\u03c9."}