Relativistic N-boson systems bound by pair potentials V(r_{ij}) = g(r_{ij}^2)

Details Relativistic N-boson systems bound by pair potentials V(r_{ij}) = g(r_{ij}^2) Relativistic N-boson systems bound by pair potentials V(r_{ij}) = g(r_{ij}^2)

2004-05-07

arxiv.org/abs/math-ph/0405025v1

J.Math.Phys. 45 (2004) 3086-3094

Physics

Mathematical Physics

15 pages, 4 figures

Scientific paper

10.1063/1.1767298

We study the lowest energy E of a relativistic system of N identical bosons bound by pair potentials of the form V(r_{ij}) = g(r_{ij}^2) in three spatial dimensions. In natural units hbar = c = 1 the system has the semirelativistic `spinless-Salpeter' Hamiltonian H = \sum_{i=1}^N \sqrt{m^2 + p_i^2} + \sum_{j>i=1}^N g(|r_i - r_j|^2), where g is monotone increasing and has convexity g'' >= 0. We use `envelope theory' to derive formulas for general lower energy bounds and we use a variational method to find complementary upper bounds valid for all N >= 2. In particular, we determine the energy of the N-body oscillator g(r^2) = c r^2 with error less than 0.15% for all m >= 0, N >= 2, and c > 0.

Affiliated with

Also associated with

No associations

Rating

Relativistic N-boson systems bound by pair potentials V(r_{ij}) = g(r_{ij}^2) does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Relativistic N-boson systems bound by pair potentials V(r_{ij}) = g(r_{ij}^2), we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Relativistic N-boson systems bound by pair potentials V(r_{ij}) = g(r_{ij}^2) will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-470408