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The Eigenvalue Problem for Two-Level Systems

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Book cover Coherence and Quantum Optics V

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Abstract

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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References

  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 ).

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  2. N. Rosen and C. Zener, Phys. Rev. A 40, 502 (1932); R.T. Robiscoe, Phys. Rev. A 17, 247 (1978).

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  3. R.T. Robiscoe, Phys. Rev. A 27, 1365 (1983).

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  4. A.E. Kaplan, Sov. Phys. JETP 41, 409 (1976).

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  5. D.S.F. Crothers, J. Phys. B 6, 1418 (1973).

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  6. U.S.F. Crothers, J. Phys. B 11, 1025 (1978).

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  7. D.S.F. Crothers, and J.G. Hughes, J. Phys. B 10, L557 (1977).

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  8. A. Bambini and P.R. Berman, Phys. Rev. A 23, 2496 (1981).

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  9. E.J. Robinson, Phys. Rev. A 24, 2239 (1981).

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  10. E.J. Robinson and P.R. Berman, Phys. Rev. A 27, 1022 (1983).

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  11. P.M. Morse and H. Feshbach, Methods of Theoretical Physics, (McGraw-Hill New York, 1953 ).

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  12. P.R. Berman and S. Yeh, unpublished.

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  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).

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Author information

Authors and Affiliations

  1. Physics Department, New York University, 4 Washington Place, New York, N.Y., 10003, USA

    E. J. Robinson

Authors
  1. E. J. Robinson
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Editor information

Editors and Affiliations

  1. Department of Physics and Astronomy, The University of Rochester, Rochester, New York, USA

    Leonard Mandel  & Emil Wolf  & 

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© 1984 Springer Science+Business Media New York

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Robinson, E.J. (1984). The Eigenvalue Problem for Two-Level Systems. In: Mandel, L., Wolf, E. (eds) Coherence and Quantum Optics V. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-0605-5_144

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  • DOI: https://doi.org/10.1007/978-1-4757-0605-5_144

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4757-0607-9

  • Online ISBN: 978-1-4757-0605-5

  • eBook Packages: Springer Book Archive

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