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Semirelativistic stability of N-boson systems bound by 1/r pair potentials
Richard L. Hall, Wolfgang Lucha
We analyze a system of self-gravitating identical bosons by means of a semirelativistic Hamiltonian comprising the relativistic kinetic energies of the involved particles and added…
Instantaneous Bethe-Salpeter Equation with Exact Propagators
Wolfgang Lucha, F. F. Schoberl
Consequent application of the instantaneous approximation to both the interaction and all propagators of the bound-state constituents allows us to forge, within the framework of th…
Discrete Spectra of Semirelativistic Hamiltonians
Richard Hall, Wolfgang Lucha, F. F. Schoeberl
We review various attempts to localize the discrete spectra of semirelativistic Hamiltonians of the form H = β\sqrt{m^2 + p^2} + V(r) (w.l.o.g. in three spatial dimensions) as ente…
Discrete spectra of semirelativistic Hamiltonians from envelope theory
Richard L. Hall, Wolfgang Lucha, F. F. Schoberl
We analyze the (discrete) spectrum of the semirelativistic ``spinless-Salpeter'' Hamiltonian H = β\sqrt{m^2 + p^2} + V(r), beta > 0, where V(r) represents an attractive, sphericall…
Energy bounds for the spinless Salpeter equation
Richard L. Hall, Wolfgang Lucha, F. F. Schoberl
We study the spectrum of the spinless-Salpeter Hamiltonian H = β\sqrt{m^2 + p^2} + V(r), where V(r) is an attractive central potential in three dimensions. If V(r) is a convex tran…
Energy bounds for the spinless Salpeter equation: harmonic oscillator
Richard L. Hall, Wolfgang Lucha, Franz F. Schoeberl
We study the eigenvalues E_{n\ell} of the Salpeter Hamiltonian H = β\sqrt(m^2 + p^2) + vr^2, v>0, β> 0, in three dimensions. By using geometrical arguments we show that, for suitab…