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

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Allbwn ymchwil: Cyfraniad at gyfnodolyn › Erthygl › adolygiad gan gymheiriaid

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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 $.

Iaith wreiddiol	Saesneg
Tudalennau (o-i)	1083-1099
Nifer y tudalennau	17
Cyfnodolyn	Annales Henri Poincaré
Cyfrol	4
Rhif cyhoeddi	6
Dynodwyr Gwrthrych Digidol (DOIs)	https://doi.org/10.1007/s00023-003-0156-2
Statws	Cyhoeddwyd - Rhag 2003

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10.1007/s00023-003-0156-2

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

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@article{0a4d4bd79508484db04fb9a49731256f,

title = "On the positivity of the Jansen-He{\ss} operator for arbitrary mass",

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 \leq 114 $.",

author = "A. Iantchenko and Jakuba{\ss}a-Amundsen, {D. H.}",

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",

year = "2003",

month = dec,

doi = "10.1007/s00023-003-0156-2",

language = "English",

volume = "4",

pages = "1083--1099",

journal = "Annales Henri Poincar{\'e}",

issn = "1424-0637",

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TY - JOUR

T1 - On the positivity of the Jansen-Heß operator for arbitrary mass

AU - Iantchenko, A.

AU - Jakubaßa-Amundsen, D. H.

N1 - Iantchenko, A.; Jakubaßa-Amundsen, D.H., (2003) 'On the positivity of the Jansen-Heß operator for arbitrary mass', Annales of the Institute Henri Poincaré 4 pp.1083-1099 RAE2008

PY - 2003/12

Y1 - 2003/12

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 Poincaré

JF - Annales Henri Poincaré

IS - 6

ER -

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

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