The Eigenvalue Problem for Two-Level Systems
The study of two-level atoms coupled by external fields is more than 50 years old, but continues to be of interest. 1–10 Our purpose here is to deepen the A2 eigenvalue method, an approach to this problem introduced recently.9
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- 1.Extensive bibliographies for the two-level problem are contained in L. Allen and J.H. Eberly, Optical Resonance and Two-Level Atoms (Wiley, New York, 1975 ), and M. Sargent III, M.O. Scully, and W.E. Lamb, Jr., Laser Physics, (Addison-Wesley, Reading, Mass. 1974 ).Google Scholar
- 2.N. Rosen and C. Zener, Phys. Rev. A 40, 502 (1932); R.T. Robiscoe, Phys. Rev. A 17, 247 (1978).Google Scholar
- 11.P.M. Morse and H. Feshbach, Methods of Theoretical Physics, (McGraw-Hill New York, 1953 ).Google Scholar
- 12.P.R. Berman and S. Yeh, unpublished.Google Scholar
- 13.For a derivation of the variational principle for the Green’s function, see, e.g.; E.J. Robinson, Phys. Rev. A 18, 1334 (1978).Google Scholar