Lower bounds on the moduli of three-dimensional Coulomb-Dirac operators via fractional Laplacians with applications

DOI10.1063/1.4995406zbMath1370.81072arXiv1612.06591OpenAlexW3102218670MaRDI QIDQ5354894

David Müller, Sergey Morozov

Publication date: 5 September 2017

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

Full work available at URL: https://arxiv.org/abs/1612.06591

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21) Fractional partial differential equations (35R11)

Related Items (4)

Proof of the strong Scott conjecture for heavy atoms: the furry picture ⋮ On the virtual levels of positively projected massless Coulomb-Dirac operators ⋮ A new definition of the Dirac-Fock ground state ⋮ The Scott correction in Dirac-Fock theory

Uses Software

• DLMF

Cites Work

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