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( 1 v 2 ∂ 2 ∂ t 2 − ∇ 2 ) u ( r , t ) = 0 {\displaystyle \left({\frac {1}{v^{2}}}{\frac {\partial ^{2}}{\partial t^{2}}}-\nabla ^{2}\right)u({\boldsymbol {r}},t)=0}
i ℏ ∂ ∂ t Ψ ( r , t ) = ( − ℏ 2 2 m ∇ 2 + V ( r ) ) Ψ ( r , t ) {\displaystyle i\hbar {\frac {\partial }{\partial t}}\Psi ({\boldsymbol {r}},t)=\left(-{\frac {\hbar ^{2}}{2m}}\nabla ^{2}+V({\boldsymbol {r}})\right)\Psi ({\boldsymbol {r}},t)}