Image »Function Interpreted as a Vector« download
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A one-dimensional wave function \(\mathit{\Psi}(x)\) interpreted as a vector in abstract space (Hilbert space):
\[ \begin{bmatrix} \mathit{\Psi}(x_1) \\ \mathit{\Psi}(x_2) \\ \mathit{\Psi}(x_3) \end{bmatrix} \]
This is only a very rough approximation of the wave function with a three-dimensional vector, which only serves to illustrate how a function can be interpreted as a vector. Theoretically, this state vector has infinitely many components, that is, the space in which it lives is infinite-dimensional.
