ψ and its derivatives occur only linearly in the Schrodinger equation, that is, second or higher powers of these quantities do not appear in the equation.(adsbygoogle = window.adsbygoogle || []).push({});

Schrodinger equation for a free particle is

i[itex]\hbar[/itex]∂ψ(x,t)/∂t = (-[itex]\hbar[/itex]^{2}/2m)(∂^{2}ψ(x,t)/∂x^{2})

Here (∂^{2}ψ(x,t)/∂x^{2}) is second power of ψ. Then how can we justify the statement "second or higher powers of ψ do not appear"?

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# Schrodinger equation

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