ABSTRACT
We calculate the response of single harmonic molecules to a monochromatic time and space dependent electric field https://www.w3.org/1998/Math/MathML"> E ( r , t ) https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780429076619/c00d8d0d-b3a0-431a-a3c2-e044ea15f7a5/content/eq7910.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/> of frequency ω employing exact algebraic methods. We evaluate the responses at the fundamental frequency ω and at successive harmonics https://www.w3.org/1998/Math/MathML"> 2 ω , 3 ω https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780429076619/c00d8d0d-b3a0-431a-a3c2-e044ea15f7a5/content/eq7911.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/> , etc. as a function of the intensity and of the frequency of the field and compare the results with those of first and second order perturbation theory.
