The Hamiltonian (p2+m2)1/2−α/r near the critical value αc=2/π

DOI10.1063/1.532106zbMath0883.47084OpenAlexW1627128614MaRDI QIDQ4351629

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Publication date: 23 February 1998

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.532106

zbMATH Keywords

spectral propertiesMellin transformationrelativistic Hamiltonianholomorphic family of operators

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Related Items (10)

Fractional nonlinear Schrödinger equations with singular potential in Rn ⋮ Sharp essential self-adjointness of relativistic Schrödinger operators with a singular potential ⋮ Lower bounds on the moduli of three-dimensional Coulomb-Dirac operators via fractional Laplacians with applications ⋮ On the stability and spectral properties of the two-dimensional Brown-Ravenhall operator with a short-range potential ⋮ The Scott conjecture for large Coulomb systems: a review ⋮ Contact interactions and gamma convergence ⋮ Variational methods in relativistic quantum mechanics ⋮ Self-adjoint realisations of the Dirac-Coulomb Hamiltonian for heavy nuclei ⋮ Homogeneous Schrödinger operators on half-line ⋮ On the spectral properties of the Brown-Ravenhall operator

Cites Work

• Spectral theory of the operator \((p^2+m^2)^{1/2}-Ze^2/r\)

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