SCHRÖDINGER SECANT LOWER BOUNDS TO SEMIRELATIVISTIC EIGENVALUES

DOI10.1142/S0217751X07036312zbMath1127.81009arXivmath-ph/0702047MaRDI QIDQ5292292

Wolfgang Lucha, Richard L. Hall

Publication date: 20 June 2007

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0702047

zbMATH Keywords

salpeter HamiltoniansSchrödinger lower boundsecant lower boundsemirelativistic Hamiltonians

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (2)

Normalized solutions of higher-order Schrödinger equations ⋮ Higher-order Schrödinger and Hartree–Fock equations

Cites Work

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• Eigenvalue comparisons for quantum systems in a box
• Technical methods for solving bound-state equations in momentum space
• Refining the comparison theorem of quantum mechanics
• DISCRETE SPECTRA OF SEMIRELATIVISTIC HAMILTONIANS FROM ENVELOPE THEORY
• Convexity and potential sums for Salpeter-type Hamiltonians
• Relativistic N-boson systems bound by pair potentials V(rij)=g(rij2)
• Schrödinger upper bounds to semirelativistic eigenvalues
• A Relativistic Equation for Bound-State Problems
• Mass Corrections to the Fine Structure of Hydrogen-Like Atoms

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