The condition that the K matrix elements add up to one becomes the condition that the R matrix elements add up to zero:
42.
However, the values of the matrix elements are found through empirical formulae that estimate the degree of overlap of specific atomic orbitals.
43.
The above expression gives us the matrix element for in the " n j m " ?} } basis.
44.
If there are no fields in the time-ordered product, then \ mathcal M is obviously an S-matrix element.
45.
Hence the product of i and f has to be a totally symmetric function, too, otherwise the matrix element would vanish.
46.
The eigenvectors are rational functions of matrix elements and eigenvalues . talk ) 22 : 25, 3 July 2010 ( UTC ).
47.
The diagonal matrix elements \ langle a _ i, b _ i \ rangle are the singular values of the latter matrix.
48.
Is the inter atomic matrix element between the atomic orbitals " m " and " l " on adjacent atoms.
49.
In real systems, with more than two levels, the correct dipole transition matrix element for the relevant transition has to be calculated.
50.
In 1929 John C . Slater derived expressions for diagonal matrix elements of an approximate Hamiltonian while investigating atomic spectra within a perturbative approach.
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