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arXiv · math-ph/0602059

Gravitating semirelativistic N-boson systems

Richard L. Hall·Wolfgang Lucha
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Abstract

Analytic energy bounds for N-boson systems governed by semirelativistic Hamiltonians of the form H=\sum_{i=1}^N(p_i^2 + m^2)^{1/2} - sum_{1=i 0, are derived by use of Jacobi relative coordinates. For gravity v=c/N, these bounds are substantially tighter than earlier bounds and they are shown to coincide with known results in the nonrelativistic limit.

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Richard L. Hall, Wolfgang Lucha. 2006-08-18. Gravitating semirelativistic N-boson systems. https://doi.org/10.1088/0305-4470%2F39%2F37%2F013

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