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Schroedinger upper bounds to semirelativistic eigenvalues

Mathematical Physics 2016-09-07 v1 High Energy Physics - Phenomenology High Energy Physics - Theory math.MP

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.

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Cite

@article{arxiv.math-ph/0508009,
  title  = {Schroedinger upper bounds to semirelativistic eigenvalues},
  author = {Richard L. Hall and Wolfgang Lucha},
  journal= {arXiv preprint arXiv:math-ph/0508009},
  year   = {2016}
}

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8 pages