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.
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2026 2verdicts
UNVERDICTED 2representative citing papers
Guaranteed lower eigenvalue bounds for the Euler-Bernoulli beam are obtained from interpolation error estimates with known constants, yielding two-sided bounds that converge for both linear and nonlinear Gao beam models.
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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.
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Two-sided eigenvalue bounds for the Euler-Bernoulli beam
Guaranteed lower eigenvalue bounds for the Euler-Bernoulli beam are obtained from interpolation error estimates with known constants, yielding two-sided bounds that converge for both linear and nonlinear Gao beam models.