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

A. Iantchenko; D. H. Jakubaßa-Amundsen

doi:10.1007/s00023-003-0156-2

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

A. Iantchenko
, D. H. Jakubaßa-Amundsen

Department of Physics

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

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 language	English
Pages (from-to)	1083-1099
Number of pages	17
Journal	Annales Henri Poincare
Volume	4
Issue number	6
DOIs	https://doi.org/10.1007/s00023-003-0156-2
Publication status	Published - Dec 2003

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10.1007/s00023-003-0156-2

http://hdl.handle.net/2160/1409

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abstract = "The Jansen-He{\ss} 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 \textbackslash{}leq 114 \$.",

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note = "Iantchenko, A.; Jakuba{\ss}a-Amundsen, D.H., (2003) 'On the positivity of the Jansen-He{\ss} operator for arbitrary mass', Annales of the Institute Henri Poincar{\'e} 4 pp.1083-1099 RAE2008",

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N2 - 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 $.

AB - 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 $.

U2 - 10.1007/s00023-003-0156-2

DO - 10.1007/s00023-003-0156-2

M3 - Article

SN - 1424-0637

VL - 4

SP - 1083

EP - 1099

JO - Annales Henri Poincare

JF - Annales Henri Poincare

IS - 6

ER -

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

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