21. This recursion relation for the matrix elements closely resembles that of the Clebsch-Gordan coefficient. 22. Using bra ket notation the matrix elements of H ^ {'} are actually the terms 23. Averages of products of matrix elements in the circular ensembles can be calculated using Weingarten functions. 24. You then multiply the matrix by some large number and replace the matrix elements by integers. 25. According to Sarrus's rule, this involves multiplications between matrix elements identified by crossed diagonals. 26. One for the Clebsch-Gordan coefficients ( ) and one for the matrix elements ( ). 27. A matrix element between states \ Psi _ a and \ Psi _ b generally reads as: 28. The CHOOZ results place limits on the PMNS matrix element " U " e3 2. 29. The transition amplitude is proportional to matrix elements of the dipole operator between the initial and final states. 30. In 1931 S . A . Gershgorin described geometric bounds on the eigenvectors in terms of the matrix elements .
