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

Quantum Mechanics

UnBorn: Probability in Bohmian Mechanics - Philosophy of Physics

The allowed states and measurements of Spekkens' toy bit. For the

Free particle - Wikipedia

Probabilities out of non-normalizable functions?

Notes on Quantum Mechanics

Physical interpretation of non-normalizable harmonic oscillator

Observables and Measurements in Quantum Mechanics

Physical interpretation of non-normalizable harmonic oscillator

Physical interpretation of non-normalizable harmonic oscillator

Quantum mechanics - Wikipedia

PDF) Non-unitary evolution of a pure state into a mixed state in

Notes on "The Physics of Quantum Mechanics" - Oberlin

Quantum

Why does quantum mechanics use density operators instead of