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| dirac_notation [2021/02/22 21:15] – [2.ii.5 Basis Independence: The Continuous Case] admin | dirac_notation [2021/02/22 21:15] (current) – [2.ii.5 Basis Independence: The Continuous Case] admin | ||
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| and write the momentum representation of the vector $|\psi\rangle$ as | and write the momentum representation of the vector $|\psi\rangle$ as | ||
| \[|\psi \rangle = \int_{-\infty}^{+\infty} \phi(p) |p\rangle \, | \[|\psi \rangle = \int_{-\infty}^{+\infty} \phi(p) |p\rangle \, | ||
| - | We will then have $\phi(p) = \langle p | \\psi rangle$ and | + | We will then have $\phi(p) = \langle p | \psi \rangle$ and |
| \[|\psi \rangle = \int_{-\infty}^{+\infty} |p\rangle\langle p |\psi \rangle \, | \[|\psi \rangle = \int_{-\infty}^{+\infty} |p\rangle\langle p |\psi \rangle \, | ||