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Bound States by the Spinless Salpeter Equation

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arxiv hep-ph/9812526 v1 pith:4YALDF3E submitted 1998-12-30 hep-ph hep-th

classification hep-phhep-th
keywords boundequationequationssalpeterspinlessstatestheoremswave
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In quantum theory, bound states are described by eigenvalue equations, which usually cannot be solved exactly. However, some simple general theorems allow to derive rigorous statements about the corresponding solutions, that is, energy levels and wave functions. These theorems are applied to the prototype of all relativistic wave equations, the spinless Salpeter equation.

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  1. Semirelativistic Bound States: (Pseudo-) Spinless-Salpeter Approaches Reassessed

    hep-ph 2019-08 conditional novelty 2.0 of 10

    A proceedings review that applies rigorous spectral bounds to semirelativistic Hamiltonians with generalized Hellmann potentials and warns against pseudo-spinless-Salpeter approximations.

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