quantum mechanics - Probability of non-normalizable states

In the book Quantum Field Theory by Jakob Schwichtenberg, he is discussing about non-normalizable states in chapter 8. If you compute the normalization in $(8.67)$ you just get infinity. He said on

Notes on Quantum Mechanics

Wavepackets etc. Plane wave eigenstates: scattering states non

Quantum

Physical interpretation of non-normalizable harmonic oscillator

Wave function - Wikiwand

The probability density is plotted as a function of x for two

Wave function - Wikipedia

Problems and Solutions in Quantum mechanics by Dang Anh Tuan - Issuu

quantum mechanics - Complex Nature of the Wavefunction - Physics

Re)normalization: an Introduction, by Yash, Quantaphy

Chapter 2 Wave Mechanics and the Schrödinger equation

Quantum Mechanics - TIB AV-Portal

Quantum

IB Quantum Physics (Cambridge), PDF, Wave Function

The wave function for a particle in one dimension is Psi(x) = Ax