Is this expression about 3D quantum wave correct? $\psi( x, y, z, t ) \leftrightarrow │\psi\rangle$ [closed]

I am pretty sure that a one-dimensional variant is correct $$\psi( x, y, z, t ) \leftrightarrow │\psi\rangle$$. It looks like an infinite column of complex numbers. I would like to know if its also true for $$\psi( x, y, z, t ) \leftrightarrow │\psi\rangle$$. First entry in my column vector would be $$\psi(x_1)$$ times $$\psi(y_1) \times \psi(z_1)$$. What would be the second entry?

The entries at time $$t$$ are $$\psi(x,y,z,t)$$. The arrangement of as a column vector, or as a three dimensional array, is essentially arbitrary. You may find it easier to think of it as a three dimensional array.
It is more usual to use vector notation $$\mathbf x = (x,y,z) = (x^1,x^2,x^3)$$, then the correspondence is $$\psi(\mathbf x) = \langle \mathbf x |\psi\rangle$$.