Evaluating a term in bra-ket notation

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SUMMARY

The discussion focuses on evaluating the integral \(\int_{-\infty}^{+\infty}dE \langle p'|E \rangle \langle E| e^{-iEt/ \hbar} |p\rangle\) using bra-ket notation. The user seeks clarification on the evaluation of \(\langle E| e^{-iEt/ \hbar} |p\rangle\), questioning whether it simplifies to \(e^{-iEt/ \hbar} \times \langle E|p\rangle\). The consensus confirms that the exponential term acts as a scalar, allowing for this simplification. This understanding is crucial for correctly applying quantum mechanics principles in calculations.

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  • Basic principles of time evolution in quantum mechanics
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cybla
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Hi, i am evaluating the integral \int_{-\infty}^{+\infty}dE \langle p'|E \rangle \langle E| e^{-iEt/ \hbar} |p\rangle

However, i am unsure how to evaluate \langle E| e^{-iEt/ \hbar} |p\rangle . I am not sure if it is simply e^{-iEt/ \hbar} \times \langle E|p\rangle or something else. Any advice would help. Thank you
 
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It is, since that exponential is just a number. This post explains bra-ket notation.
 
alright, thank you for your help
 

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