Continued fraction expressions for the eigensolutions of the hamiltonian describing the interaction between a single atom and a single field mode: comparisons with the rotating wave solutions

Sanhita Swain · Journal of Physics A Mathematical Nuclear and General · 1973

Formally exact continued fraction expressions for the eigenvectors and eigenvalues of the hamiltonian describing the interaction of a single atom with a single quantized field mode in the electric dipole approximation are presented. Explicit expressions for the eigen-solutions and the time-dependent properties are given in some special cases. Comparisons are made with the corresponding rotating wave solutions.

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