Schroedinger upper bounds to semirelativistic eigenvalues

Details Schroedinger upper bounds to semirelativistic eigenvalues Schroedinger upper bounds to semirelativistic eigenvalues

2005-08-02

arxiv.org/abs/math-ph/0508009v1

J.Phys. A38 (2005) 7997-8002

Physics

Mathematical Physics

8 pages

Scientific paper

10.1088/0305-4470/38/37/005

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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