quantum mechanics - Probability of non-normalizable states

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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

Probability amplitude - Wikipedia

Physics 3 for Electrical Engineering Ben Gurion University of the

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Notes on Quantum Mechanics

Can there be a quantum state that is a superposition of two or

Notes on Quantum Mechanics

Solved (15 points) Encounter with a semi-infinite potential

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