I know that the eigen equation is given by [tex]A\psi =\lambda\psi[/tex] where A is an operator and [tex]\psi[/tex] is an eigen function and [tex]\lambda[/tex] is an eigen value.(adsbygoogle = window.adsbygoogle || []).push({});

For the particle in an infinite square well of width L the wavefunction is given by [tex]\psi (x)=\sqrt{\frac{2}{L}}sin(\frac{n\pi x}{L})[/tex] and the energy is given by [tex]E=\frac{n^2h^2}{8ml^2}[/tex]

I want to know why [tex]\psi[/tex] is called eigen function and E is called the eigen value.

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# Eigen Value and Eigen Function

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