Numerov-Cooley method

They were determined numerically by the Cooley-Numerov method(31.32). with a spline representation of V (t). potential supports three bound states. 

As for step (d), numerical solution of the one-dimensional Schrddinger equation (13.19) is done using either the Cooley-Numerov method [see J. TeUinghuisen, J. Chem. Educ., 66,... 

The relevant equations for the derivative Numerov-Cooley (DNC) method closely follow Cooley s [111] presentation. Let R be the radial coordinate or bond displacement coordinate, P R) a radial eigenfunction, and U R) the potential function. The one-dimensional Schrodinger equation is then... 

We have used the Numerov-Cooley method of numerical integration to solve the Schrodinger equation... 

The difference equation or numerical integration method for vibrational wavefunctions usually referred to as the Numerov-Cooley method [111] has been extended by Dykstra and Malik [116] to an open-ended method for the analytical differentiation of the vibrational Schrodinger equation of a diatomic. This is particularly important for high-order derivatives (i.e., hyperpolarizabilities) where numerical difficulties may limit the use of finite-field treatments. As in Numerov-Cooley, this is a procedure that invokes the Born-Oppenheimer approximation. The accuracy of the results are limited only by the quality of the electronic wavefunction s description of the stretching potential and of the electrical property functions and by the adequacy of the Born-Oppenheimer approximation. 

Ingamells, Papadopoulos and Sadlej have introduced a new semi-numerical method based on Numerov-Cooley integration to calculate the vibrational... 

C. E. Dykstra and D. J. Malik,. Chem. Phys., 87, 2806 (1987). Derivative Numerov-Cooley Theory. A Method for Finding Vibrationsil State Properties of Diatomic Molecules. 

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