{"knowledge_schema": {"broad_category": "Quantum Mechanics \u2192 Angular Momentum Operators", "refinement": "This problem involves the properties of angular momentum operators, specifically the intrinsic angular momentum operator for a muon represented by a matrix.", "specific_scope": "The focus is on calculating the eigenvalues and eigenvectors of the X-component of the intrinsic angular momentum operator, Bx, represented by a 2x2 matrix.", "goal": "Determine the correct statement regarding the eigenfunctions, eigenvalues, and eigenvectors of the operator Bx."}, "summary": "In this problem, we analyze the intrinsic angular momentum operator Bx of a muon, represented by a 2x2 matrix. The task involves calculating its eigenvalues and eigenvectors. Among the provided statements, the correct one is that the eigenfunction of the operator Bx can also be an eigenfunction of B^2, but not of the Y-component, By. This highlights the relationship between the eigenfunctions of different components of angular momentum operators."}