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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 - Probability of non-normalizable states
quantum mechanics - Why is a wave packet normalizable? - Physics
Probability amplitude - Wikipedia
Mathematics, Free Full-Text
Chapter 2 Wave Mechanics and the Schrödinger equation
Quantum Mechanics
Probability amplitude - Wikipedia
Wavepackets etc. Plane wave eigenstates: scattering states non
Quantum
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