It is important to note that the off-diagonal elements depend on the diabatic angle and electronic energies only.

Correlation values (off-diagonal elements) of at least .4 are sometimes interpreted as indicating a multicollinearity problem.

On matrices with non-positive off-diagonal elements and positive principal minors.

If we can neglect the off-diagonal elements the equations will uncouple and simplify drastically.

The new off-diagonal elements of the Hessian matrix take the below form, where p is an empirical parameter:

The off-diagonal elements formally determine transition amplitudes between two exciton states and .

At each stage, the sum of the squares of the off-diagonal elements decreases by at least one third.

The coherence of a sample is explained by the off-diagonal elements of a density matrix.

This shear is given by the off-diagonal elements of the stress tensor.

When the values of the off-diagonal elements between the reciprocal lattice vectors in the Hamiltonian almost go to zero.