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arxiv: math-ph/0508009 · v1 · pith:3YY7RJD4new · submitted 2005-08-02 · 🧮 math-ph · hep-ph· hep-th· math.MP

Schroedinger upper bounds to semirelativistic eigenvalues

classification 🧮 math-ph hep-phhep-thmath.MP
keywords boundsschroedingersemirelativisticuppercertainchosenconstructedeigenvalues
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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.

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