:<math>\hat H</math> is the [[Hamiltonian]] operator.
:<math>\hat H</math> is the [[Hamiltonian]] operator.
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The left side of the equation describes how the wavefunction changes with time; the right side is related to its energy. For the simplest case of a particle of mass m moving in a one-dimensional potential ''V''(''x''), the Schrödinger equation can be written
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The left side of the equation describes how the wavefunction changes with time; the right side is related to its energy. For the simplest case of a particle of mass ''m'' moving in a one-dimensional potential ''V''(''x''), the Schrödinger equation can be written