Schroedinger secant lower bounds to semirelativistic eigenvalues

Abstract

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 suitable beta > 0. An example is discussed.

7 pages, 1 figure

References in corpus (4)

• Discrete spectra of semirelativistic Hamiltonians from envelope theory
• Relativistic N-boson systems bound by pair potentials V(r_{ij}) = g(r_{ij}^2)
• Schroedinger upper bounds to semirelativistic eigenvalues
• Convexity and potential sums for Salpeter-like Hamiltonians

Cited by in corpus (5)

• Higher order Schrodinger and Hartree-Fock equations
• An upper bound for asymmetrical spinless Salpeter equations
• A semirelativistic treatment of spinless particles subject to the Yukawa potential with arbitrary angular momenta
• A semi-relativistic treatment of spinless particles subject to the nuclear Woods-Saxon potential
• Analytical Solution of two-body spinless Salpeter Equation for Hellmann Potential