# This Quantum World/Implications and applications

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# The Schrödinger equation: implications and applications

In this chapter we take a look at some of the implications of the Schrödinger equation

${\displaystyle i\hbar \,{\frac {\partial \psi }{\partial t}}={\frac {1}{2m}}\left({\frac {\hbar }{i}}{\frac {\partial }{\partial \mathbf {r} }}-\mathbf {A} \right)^{2}\psi +V\psi .}$