Schroedinger secant lower bounds to semirelativistic eigenvalues
classification
🧮 math-ph
hep-thmath.MP
keywords
betaschroedingersemirelativisticbelowboundedboundsdiscussedeigenvalue
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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.
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