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The Schrödinger equation is written as iℏ∂Ψ(x,t)∂t=−ℏ22m∂2Ψ(x,t)∂x2−U(x,t)Ψ(x,t)i\hbar\frac{\partial\Psi(x,t)}{\partial t}=-\frac{\hbar^2}{2m}\frac{\partial^2\Psi(x,t)}{\partial x^2}-U(x,t)\Psi(x,t). It features the imaginary unit ii, the reduced Planck constant ℏ\hbar, the wavefunction Ψ(x,t)\Psi(x,t), mass mm, and potential energy U(x,t)U(x,t).

Conditions: The equation is presented in the context of comparing wave equations.; It applies to the microscopic quantum realm.