What's the name of the wavefxn int. showing normalizability?

[Zacarias Nason]

This is just a nomenclature thing; I'm aware that when dealing with the integral

$$\int_{-\infty}^{\infty}|\psi(x,t)|^2 dx = 1$$

that the integrand is the wavefunction, the wavefunction must be normalizable for it to be viewed as a probability density, it's referred to as the state of the particle, it needs to be square integrable, etc...but what is the name for this overall expression on the LHS, integral and all? I'm guessing it has a name and somewhere I missed it or lost it in my mind.

 

[dextercioby]

It is the squared norm of the L² vector describing a pure quantum state in the wave mechanics of Erwin Schrödinger.

 

[Zacarias Nason]

Thank you!