{"knowledge_schema": {"broad_category": "Quantum Mechanics \u2192 Quantum States \u2192 Wigner Function", "refinement": "This problem involves calculating the Wigner function, which is a quasi-probability distribution used in quantum mechanics to describe the quantum state of a system.", "specific_scope": "The specific state under consideration is a Schr\u00f6dinger cat state, which is a superposition of two coherent states, and we need to evaluate the Wigner function at the origin for given parameters.", "goal": "Calculate the Wigner function at the origin for the specified Schr\u00f6dinger cat state and determine its value."}, "summary": "This problem requires calculating the Wigner function for a Schr\u00f6dinger cat state, which is a superposition of two coherent states. Given the parameters \u03d5 = -\u03c0/4 and \u03b1 = 0.5, the task is to evaluate the Wigner function at the origin. The result of this calculation yields a value of 0.5, indicating the nature of the quantum state represented by the Wigner function."}