Gravitating semirelativistic N-boson systems

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<j}^N v/r_{ij}, with v>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.

7 pages, 2 figures It is now proved that the reduced Hamiltonian is bounded below by the simple N/2 Hamiltonian

References in corpus (3)

• Semirelativistic Treatment of Bound States
• Relativistic N-boson systems bound by pair potentials V(r_{ij}) = g(r_{ij}^2)
• Relativistic N-Boson Systems Bound by Oscillator Pair Potentials

Cited by in corpus (7)

• The quantum N-body problem and the auxiliary field method
• Klein-Gordon lower bound to the semirelativistic ground-state energy
• Semirelativistic stability of N-boson systems bound by 1/r pair potentials
• The Hartree limit of Born's ensemble for the ground state of a bosonic atom or ion
• Binding energies of semirelativistic N-boson systems
• Monotonicity of quantum ground state energies: Bosonic atoms and stars
• Semirelativistic N-boson systems bound by attractive pair potentials