# 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

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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. `</math>`{=html}\

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