Influence of Resonant Frequency Shifts on Superradiant Damping

  • R. Friedberg
  • S. R. Hartmann
  • Jamal T. Manassah
Conference paper


The interaction between two electric dipoles p 1 and p 2 at position r 1 and r 2, analyzed at frequency kc, is [1]
$$\begin{array}{l} v = - {e^{ikr}}[\left( {{{\vec p}_1} \cdot {{\vec p}_2} - \hat r \cdot {{\vec p}_1}\,\hat r \cdot {{\vec p}_2}} \right)\frac{{{k^2}}}{r}\\ + \left( {{{\vec p}_1} \cdot {{\vec p}_2} - 3\hat r \cdot {{\vec p}_1}\,\hat r \cdot {{\vec p}_2}} \right)\left( {\frac{{ik}}{{{r^2}}} - \frac{1}{{{r^3}}}} \right)]\\ = \frac{1}{{{r^3}}}\left( {{{\vec p}_1} \cdot {{\vec p}_2} - 3\hat r \cdot {{\vec p}_1}\,\hat r \cdot {{\vec p}_2}} \right) - \frac{{{k^2}}}{{2r}}\left( {{{\vec p}_1} \cdot {{\vec p}_2} - \hat r \cdot {{\vec p}_1}\,\hat r \cdot {{\vec p}_2}} \right)\\ - \frac{2}{3}\,i\,{k^3}\,{{\vec p}_1} \cdot {{\vec p}_2} + 0\left[ r \right]\\ where\,{{\vec r}_1} - {{\vec r}_2} = r\hat r. \end{array}$$


Frequency Shift Identical Atom Shift Resonance Frequency Magnetostatic Interaction Entrance Face 


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Copyright information

© Plenum Press, New York 1973

Authors and Affiliations

  • R. Friedberg
    • 1
  • S. R. Hartmann
    • 1
  • Jamal T. Manassah
    • 2
    • 1
  1. 1.Columbia UniversityNew YorkUSA
  2. 2.Institute for Advanced StudyPrincetonUSA

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