On the positivity of the Jansen-Heß operator for arbitrary mass

A. Iantchenko, D. H. Jakubaßa-Amundsen

Research output: Contribution to journalArticlepeer-review

2 Citations (SciVal)

Abstract

The Jansen-Heß operator is an approximate (pseudo-)relativistic no-pair Hamiltonian in the Furry picture which is used in the physics literature to describe heavy atoms. Within the single-particle Coulomb model we prove that their energy, and thus the resulting self-adjoint operator and its spectrum, is positive for $ Z \leq 114 $.
Original languageEnglish
Pages (from-to)1083-1099
Number of pages17
JournalAnnales Henri Poincaré
Volume4
Issue number6
DOIs
Publication statusPublished - Dec 2003

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