Sentence examples for matrix of systems from inspiring English sources

To treat the field matter interaction perturbatively, we modify the method developed by Meier and Tannor [C. Meier, D.J. Tannor, J. Chem. Phys. 111 (1999 3365]] and originally designed for propagation of reduced density matrix of systems interacting with arbitrary laser fields.

The Jacobian matrix of system (17) is given in (29).

where is the normal fundamental matrix of system (2).

(One of them equals zero because the matrix of system (21) has nonfull rank).

And, the fundamental solution matrix of system (5.3) can be given by (5.4).

The amplification matrix of system (57) is given by (Q^{-1} R).

end{aligned} (20) As can be seen, the main matrix of system (20) is symmetrical.

Setting J the Jacobian matrix of system (13) at the equilibrium.

and F J is the Jacobian matrix of system (3) about the equilibrium point ( x ¯, y ¯ ).

Let (J(X^)) denote the Jacobian matrix of system (2) evaluated at equilibrium point (X^).

We observe that the Jacobian matrix of system (3) at (E^{0}) has eigenvalues 1 and −h.