On the positivity of the Jansen-He? operator for arbitrary mass


Autoria(s): Iantchenko, A.; Jakuba?a-Amundsen, D. H.
Contribuinte(s)

Institute of Mathematics & Physics (ADT)

Mathematical Modelling of Structures, Solids and Fluids

Data(s)

05/12/2008

05/12/2008

01/12/2003

Resumo

Iantchenko, A.; Jakuba?a-Amundsen, D.H., (2003) 'On the positivity of the Jansen-He? operator for arbitrary mass', Annales of the Institute Henri Poincar? 4 pp.1083-1099 RAE2008

The Jansen-He? 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 $.

Peer reviewed

Formato

17

Identificador

Iantchenko , A & Jakuba?a-Amundsen , D H 2003 , ' On the positivity of the Jansen-He? operator for arbitrary mass ' Annales Henri Poincar? , vol 4 , no. 6 , pp. 1083-1099 . DOI: 10.1007/s00023-003-0156-2

1424-0637

PURE: 88730

PURE UUID: 0a4d4bd7-9508-484d-b04f-b9a49731256f

dspace: 2160/1409

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

http://dx.doi.org/10.1007/s00023-003-0156-2

Idioma(s)

eng

Relação

Annales Henri Poincar?

Tipo

/dk/atira/pure/researchoutput/researchoutputtypes/contributiontojournal/article

Article (Journal)

Direitos