The actual contribution of Born to quantum mechanics;

As the author has the privilege of being associated with Born in Edinburgh during 1938—1941 and 1943—1945,and with Schrdinger in Dublin during 1941—1943 and 1945—1947,the beginning of quantum mechanics 80 years ago is described here with reminiscences,and also with an emphasis on the evolution of scientific ideas.

EM inverse scattering from phaseless data of total field under Born approximation;

Phase control of free-free transitions in bichromatic laser field is investigated employing the Born approximation.

This paper deals with this problem using the quantum scattering theory-born approximation,takes account of the influence of the shielding effect of the electron and limited quality of the atomic nucleus to scattering cross-section,carries on the revision to the Rutherford scattering formula according to experimental result.

A number of effective procedures for improving the distorted Born iterative method are proposed, including the accurate and efficient solution of the direct problem, second-difference regularization, weighted least-squares solution, estimation of the initial guess by using a priori information and multiple-frequency scheme.