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For some quantum states such as position, the values are infinite. It would be inconvenient to represent it all in a column vector. So we represent it with a function.
Notations
Often the wavefunction is denoted with $\psi(x)$, however it means the same thing as $\langle x|\psi\rangle$. That is, $$\begin{align*} \psi(x)=\langle x|\psi\rangle \end{align*}$$Concepts
We can think of a column vector as descrete points on a graph. If we have enough of those descrete points, then can form a function, perhaps continuous.I guess the values of the equation is solved by the eigenvector equation of the operator (not the schrodinger's equation).
For some quantum states such as position, the values are infinite. It would be inconvenient to represent it all in a column vector. So we represent it with a function.
Notations
Often the wavefunction is denoted with $\psi(x)$, however it means the same thing as $\langle x|\psi\rangle$. That is, $$\begin{align*} \psi(x)=\langle x|\psi\rangle \end{align*}$$Concepts
We can think of a column vector as descrete points on a graph. If we have enough of those descrete points, then can form a function, perhaps continuous.I guess the values of the equation is solved by the eigenvector equation of the operator (not the schrodinger's equation).
FullPage
Overview
Notations
Concepts