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Schrodinger used a cat's state to explain the behavior of a closed system. The closed state corresponds to a state of definite energy. Schrodinger postulated a wave function, a type of probability function that satisfied the equality of a closed system, which cast doubt on the Copenhagen interpretation of quantum mechanics.
The Schrodinger equation is a differential equation that describes the time evolution of the wave function. In the Schrodinger equation, the wave function is denoted by [ψ], and the energy of a closed system is denoted by [E].