Schroedinger upper bounds to semirelativistic eigenvalues

Abstract

Problems posed by semirelativistic Hamiltonians of the form H = sqrt{m^2+p^2} + V(r) are studied. It is shown that energy upper bounds can be constructed in terms of certain related Schroedinger operators; these bounds include free parameters which can be chosen optimally.

8 pages

References in corpus (3)

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

Cited by in corpus (15)

• The Salpeter equation and probability current in the relativistic Hamiltonian quantum mechanics
• The relativistic massless harmonic oscillator
• Higher order Schrodinger and Hartree-Fock equations
• The modified fundamental equations of quantum mechanics
• Semirelativistic Hamiltonians and the auxiliary field method
• An upper bound for asymmetrical spinless Salpeter equations
• New results by low momentum approximation from relativistic quantum mechanics equations and suggestion of experiments
• A new representation for non--local operators and path integrals
• Schroedinger secant lower bounds to semirelativistic eigenvalues
• A semirelativistic treatment of spinless particles subject to the Yukawa potential with arbitrary angular momenta
• On the coherent states for a relativistic scalar particle
• 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
• Geometric spectral inversion for singular potentials
• Bounds for Hamiltonians with arbitrary kinetic parts