Evaluating a term in bra-ket notation

In summary, bra-ket notation is a mathematical notation commonly used in quantum mechanics to represent vectors and operators. To evaluate a term in bra-ket notation, one must take the inner product of the bra and ket vectors. The bra vector represents the complex conjugate of a state vector, while the ket vector represents the state vector itself. This notation can also be used for other types of vectors, but may have varying meanings and uses. Alternative notations for bra-ket notation include Dirac notation and bracket notation, which serve the same purpose of representing vectors and operators in equations.
  • #1
cybla
16
0
Hi, i am evaluating the integral [itex]\int_{-\infty}^{+\infty}dE \langle p'|E \rangle \langle E| e^{-iEt/ \hbar} |p\rangle[/itex]

However, i am unsure how to evaluate [itex]\langle E| e^{-iEt/ \hbar} |p\rangle[/itex] . I am not sure if it is simply [itex]e^{-iEt/ \hbar}[/itex] [itex]\times[/itex] [itex]\langle E|p\rangle[/itex] or something else. Any advice would help. Thank you
 
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  • #2
It is, since that exponential is just a number. This post explains bra-ket notation.
 
  • #3
alright, thank you for your help
 

1. What is bra-ket notation?

Bra-ket notation is a mathematical notation commonly used in quantum mechanics to represent vectors and operators. The notation consists of a "bra" and "ket" symbol, with the vector or operator written in between.

2. How do you evaluate a term in bra-ket notation?

To evaluate a term in bra-ket notation, you need to take the inner product of the bra and ket vectors. This involves multiplying the elements of the bra vector by the conjugate of the elements in the ket vector, and then summing the results.

3. What is the significance of the bra and ket vectors in bra-ket notation?

The bra vector represents the complex conjugate of a state vector, while the ket vector represents the state vector itself. Together, they form the inner product that allows for the calculation of physical quantities in quantum mechanics.

4. Can bra-ket notation be used for any type of vector?

Bra-ket notation is primarily used in quantum mechanics, but it can also be applied to other types of vectors, such as in linear algebra. However, the notation may have different meanings and uses depending on the context.

5. Are there any alternative notations for bra-ket notation?

Yes, there are alternative notations for bra-ket notation, such as Dirac notation and bracket notation. These notations may vary in their symbols and conventions, but they all serve the same purpose of representing vectors and operators in mathematical equations.

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