Hello, the TISE can be simplified(adsbygoogle = window.adsbygoogle || []).push({});

$$H \psi = E \psi$$

Where ##H## is the Hamiltonian, and ##E## is the eigenvalue, but why don't the ##\psi## terms cancel, leaving ##H = E##?

Also, what the heck does the eigenvalue ##E## have to do with the eigenvalue that I have previously encountered in mathematics (linear algebra)

##A \textbf {v} = \lambda \textbf {v}##

where ##A## is a matrix, ##\textbf {v}## is a vector, and ##\lambda## is the eigenvalue. Where was linear algebra ever invoked when doing TISE to use such a name for E, Eigenvalue?

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# Time independent schrödinger equation query

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