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math-ph2007★ 8 cited
Binding energies of semirelativistic N-boson systems
Richard L. Hall, Wolfgang Lucha
General analytic energy bounds are derived for N-boson systems governed by semirelativistic Hamiltonians of the form H=\sum_{i=1}^N \sqrt(p_i^2+m^2) + \sum_{1=i<j}^N V(r_{ij}), whe…
math-ph2007★ 12 cited
Schroedinger secant lower bounds to semirelativistic eigenvalues
Richard L. Hall, Wolfgang Lucha
It is shown that the ground-state eigenvalue of a semirelativistic Hamiltonian of the form H = sqrt(m^2+p^2) + V is bounded below by the Schroedinger operator m + beta p^2 + V, for…