1965/05/24 by Jon H. Shirley, J.H. Shirley · 24 citations
Physics and Astronomy · Computer Science · #Spectroscopy and Quantum Chemical Studies #Quantum Information and Cryptography #Quantum optics and atomic interactions
paper · doi:10.1103/physrev.138.b979
The interaction of a quantum system with an oscillating field is studied in a formalism which replaces the semiclassical time-dependent Hamiltonian with a time-independent Hamiltonian represented by an infinite matrix. The formalism is developed as a mathematical equivalent to the semiclassical treatment, and interpreted as a classical approximation to the quantum treatment of the field. Combined with a perturbation theory for two nearly degenerate states, the formalism provides a convenient method for determining resonance transition probabilities including frequency shifts and multiple quantum transitions. The theory is illustrated by a detailed study of the simple case of a two-state system excited by a strong oscillating field.