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Beyond mean field: On the role of pair excitations in the evolution of condensates

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Abstract

This paper is in part a summary of our earlier work [18, 19, 20], and in part an announcement introducing a refinement of the equations for the pair excitation function used in our previous work with D. Margetis. The new equations are Euler–Lagrange equations, and the solutions conserve energy and the number of particles.

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Authors and Affiliations

  1. Department of Mathematics, University of Maryland, College Park, MD, 20742-4015, USA

    M. Grillakis & M. Machedon

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  1. M. Grillakis
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  2. M. Machedon
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Correspondence to M. Machedon.

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To Professor Choquet-Bruhat whose work on nonlinear wave equations was an inspiration to us earlier in our careers

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Grillakis, M., Machedon, M. Beyond mean field: On the role of pair excitations in the evolution of condensates. J. Fixed Point Theory Appl. 14, 91–111 (2013). https://doi.org/10.1007/s11784-013-0150-3

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