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# Schrödinger equation for a one dimensional particle

We select for the general Equation 7. "Schrodinger equation":
giving the full explicit partial differential equation: $$Equation 12. Schrödinger equation for a one dimensional particle iℏ∂t∂ψ(x,t)​=[−2mℏ2​∂x2∂2​+V(x,t)]ψ(x,t) (12)$$ The corresponding time-independent Schrödinger equation for this equation is: $$Equation 13. time-independent Schrödinger equation for a one dimensional particle [−2mℏ​∂x∂2​+V(x)]ψ=Eψ(x) (13)$$