BraketDiagonal

BraketDiagonal(psi1List, O, psi2List) calculates the expectation value or matrix element $\left\langle \psi_1[i] \mid O \mid \psi_2[i] \right\rangle$ for all $i$. Whereby $I$ is the minimum of the length of the two tables. If #psi1List is not equal to #psi2List a warning is given. If psi1List or psi2List is a function instead of a list of functions the value returned is the same as one would get for Braket.

Input

  • psi1 or psiList1 : Wavefunction or list of Wavefunctions
  • O : Operator
  • psi2 or psiList2 : Wavefunction or list of Wavefunctions

Output

  • real or complex number, or a list of these

Example

see Braket

Input

Example.Quanty
-- see the example for Braket

Result

see the example for Braket

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