A novel finite element method provides the first explicit two-sided eigenvalue bounds for Schrödinger operators with singular potentials on unbounded domains, demonstrated on hydrogen and H2+ systems.
A note on the Poincar´ e inequality for convex domains.Z
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Establishes equivalence of DEC cochains with generalized Whitney forms to prove convergence rates for the Hodge-Laplacian in full k-form generality on well-centered meshes.
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Explicit Two-Sided Eigenvalue Bounds for Schr\"odinger Operators with Singular Potentials via Finite Element Method
A novel finite element method provides the first explicit two-sided eigenvalue bounds for Schrödinger operators with singular potentials on unbounded domains, demonstrated on hydrogen and H2+ systems.