Semirelativistic N-boson systems bound by attractive pair potentials

Details Semirelativistic N-boson systems bound by attractive pair potentials Semirelativistic N-boson systems bound by attractive pair potentials

2009-08-19

arxiv.org/abs/0908.2815v1

J.Phys.A42:395303,2009

Physics

Mathematical Physics

12 pages, 2 figures

Scientific paper

10.1088/1751-8113/42/39/395303

We establish bounds on the energy of a system of N identical bosons bound by attractive pair potentials and obeying the semirelativistic Salpeter equation. The lower bound is provided by a `reduction', with the aid of Jacobi relative coordinates, to a suitably scaled one-body Klein-Gordon problem. Complementary upper energy bounds are provided by means of a Gaussian trial function. Detailed results are presented for the exponential pair potential V(r) = -v\exp(-r/a).

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