These are two paragraphs from Chapter 3 of Principle of Quantum Mechanics by P.A.M. Dirac. I need to know what the relevant mathematics its referring specifically, I have some idea not proper enough though. So if someone can direct me to relevant mathematics, that would be really appreciated.
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Usually, in quantum mechanics, the braket notation is used : en.wikipedia.org/wiki/Bra%E2%80%93ket_notation
Darío
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