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Volumn 69, Issue 5-6, 1996, Pages 974-984

Stability of relativistic matter via Thomas-Fermi theory

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0001766485     PISSN: 00180238     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (24)

References (14)
  • 1
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  • 2
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    • An uncertainty principle for fermions with generalized kinetic energy
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  • 3
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    • Calculation of the interaction potential of atoms for small nuclear separations
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  • 4
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    • Schrödinger inequalities and asymptotic behavior of the electronic density of atoms and molecules
    • [HO77]
    • [HO77] Hoffmann-Ostenhof, M. and Hoffman-Ostenhof, T., Schrödinger inequalities and asymptotic behavior of the electronic density of atoms and molecules, Phys. Rev. A 16, 1782-1785 (1977).
    • (1977) Phys. Rev. A , vol.16 , pp. 1782-1785
    • Hoffmann-Ostenhof, M.1    Hoffman-Ostenhof, T.2
  • 5
    • 0000046855 scopus 로고
    • Remarks on Schrödinger operators with vector potentials
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    • [K78] Kato, T., Remarks on Schrödinger operators with vector potentials, Int. Eq. Operator Theory 1, 103-113 (1978).
    • (1978) Int. Eq. Operator Theory , vol.1 , pp. 103-113
    • Kato, T.1
  • 6
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    • Schrödinger operators with singular magnetic vector potentials
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    • [LS81] Leinfelder, H., Simader, C., Schrödinger operators with singular magnetic vector potentials, Math. Z. 176, 1-19 (1981).
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    • Leinfelder, H.1    Simader, C.2
  • 7
    • 33847043281 scopus 로고
    • Thomas-Fermi and related theories of atoms and molecules
    • [L81] Errata, ibid 54, 311 (1982)
    • [L81] Lieb, E.H. Thomas-Fermi and related theories of atoms and molecules, Rev. Mod. Phys. 53 603-641 (1981). Errata, ibid 54, 311 (1982).
    • (1981) Rev. Mod. Phys. , vol.53 , pp. 603-641
    • Lieb, E.H.1
  • 8
    • 0000358746 scopus 로고
    • Stability of Matter in Magnetic Fields
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    • [LLS95] Lieb, E.H., Loss, M. and Solovej, J.P., Stability of Matter in Magnetic Fields, Phys. Rev. Lett. 75, 985-989 (1995).
    • (1995) Phys. Rev. Lett. , vol.75 , pp. 985-989
    • Lieb, E.H.1    Loss, M.2    Solovej, J.P.3
  • 9
    • 84983920937 scopus 로고
    • Improved lower bound on the indirect Coulomb energy
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    • [LO81] Lieb, E.H. and Oxford, S., Improved lower bound on the indirect Coulomb energy, Int. J. Quant. Chem. 19, 427-439 (1981).
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    • Lieb, E.H.1    Oxford, S.2
  • 10
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    • The stability and instability of relativistic matter
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    • [LY88] Lieb, E.H. and Yau, H-T., The stability and instability of relativistic matter, Commun. Math. Phys. 118, 177-213 (1988).
    • (1988) Commun. Math. Phys. , vol.118 , pp. 177-213
    • Lieb, E.H.1    Yau, H.-T.2
  • 11
    • 0001325128 scopus 로고
    • Bound for the kinetic energy of fermions which proves the stability of matter
    • [LT75] Erratum, ibid, 1116
    • [LT75] Lieb, E.H., and Thirring, W.E., Bound for the kinetic energy of fermions which proves the stability of matter, Phys. Rev. Lett. 35, 687-689 (1975). Erratum, ibid, 1116.
    • (1975) Phys. Rev. Lett. , vol.35 , pp. 687-689
    • Lieb, E.H.1    Thirring, W.E.2
  • 13
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    • Maximal and minimal Schrödinger forms
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  • 14
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    • Kato's inequality and the comparison of semigroups
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    • [S79-2] Simon, B., Kato's inequality and the comparison of semigroups, J. Funct. Anal. 32, 97-101 (1979).
    • (1979) J. Funct. Anal. , vol.32 , pp. 97-101
    • Simon, B.1


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