메뉴 건너뛰기




Volumn 1, Issue 2, 2000, Pages 281-306

On the asymptotic exactness of Thomas-Fermi theory in the thermodynamic limit

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0034347249     PISSN: 14240637     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00001006     Document Type: Article
Times cited : (3)

References (25)
  • 2
    • 0002100327 scopus 로고
    • Long range atomic potentials on the Thomas-Fermi theory
    • H. Brezis & E. Lieb, Long range atomic potentials on the Thomas-Fermi Theory. Commun.Math.Phys., 65, 231-246 (1979)
    • (1979) Commun.Math.Phys. , vol.65 , pp. 231-246
    • Brezis, H.1    Lieb, E.2
  • 3
    • 0001180878 scopus 로고
    • The ground state energy of a classical gas
    • G. Conlon, The ground state energy of a classical gas. Commun.Math.Phys., 94, 439-458 (1984)
    • (1984) Commun.Math.Phys. , vol.94 , pp. 439-458
    • Conlon, G.1
  • 4
    • 0001891854 scopus 로고
    • Weak type estimates for singular values and the number of bound states of Schrödinger operators
    • M. Cwikel, Weak type estimates for singular values and the number of bound states of Schrödinger operators. Ann. of Math. 106, 93-100 (1977)
    • (1977) Ann. of Math. , vol.106 , pp. 93-100
    • Cwikel, M.1
  • 5
    • 6144292509 scopus 로고
    • Stability of matter I and II
    • F. Dyson & A. Lénard, Stability of Matter I and II, J.Math.Phys., 8, 423-434 (1967); ibid 9, 698-711 (1968)
    • (1967) J.Math.Phys. , vol.8 , pp. 423-434
    • Dyson, F.1    Lénard, A.2
  • 6
    • 6144292509 scopus 로고
    • F. Dyson & A. Lénard, Stability of Matter I and II, J.Math.Phys., 8, 423-434 (1967); ibid 9, 698-711 (1968)
    • (1968) J.Math.Phys. , pp. 698-711
  • 7
    • 0002069687 scopus 로고
    • A new approach to the stability of matter problem. I, II
    • P. Federbush, A new approach to the stability of matter problem. I, II. J.Math.Phys., 16, 347-351 (1975); ibid. 36, 706-709 (1975)
    • (1975) J.Math.Phys. , vol.16 , pp. 347-351
    • Federbush, P.1
  • 8
    • 0002069687 scopus 로고
    • P. Federbush, A new approach to the stability of matter problem. I, II. J.Math.Phys., 16, 347-351 (1975); ibid. 36, 706-709 (1975)
    • (1975) J.Math.Phys. , vol.36 , pp. 706-709
  • 9
    • 0009148222 scopus 로고    scopus 로고
    • Stability of ultraviolet-cutoff quantum electrodynamics with non-relativistic matter
    • C. Fefferman, J. Fröhlich, & G-M. Graf, Stability of ultraviolet-cutoff quantum electrodynamics with non-relativistic matter Commun.Math.Phys., 190 309-330 (1997)
    • (1997) Commun.Math.Phys. , vol.190 , pp. 309-330
    • Fefferman, C.1    Fröhlich, J.2    Graf, G.-M.3
  • 10
    • 0029040120 scopus 로고
    • Stability of coulomb systems in a magnetic field
    • C. Fefferman, Stability of Coulomb systems in a magnetic field, Proc.Nat.Acad.Sci. U.S.A., 92, 5006-5007 (1995)
    • (1995) Proc.Nat.Acad.Sci. U.S.A. , vol.92 , pp. 5006-5007
    • Fefferman, C.1
  • 12
    • 0002296869 scopus 로고    scopus 로고
    • Stability of matter through an electrostatic inequality
    • G.M. Graf, Stability of matter through an electrostatic inequality. Helv.Phys.Acta, 70, 72-79 (1997)
    • (1997) Helv.Phys.Acta , vol.70 , pp. 72-79
    • Graf, G.M.1
  • 13
    • 21844491345 scopus 로고
    • On the molecular limit of coulomb gases
    • G.M. Graf & D. Schenker: On the Molecular Limit of Coulomb gases. Commun.Math.Phys., 174, 215-227 (1995)
    • (1995) Commun.Math.Phys. , vol.174 , pp. 215-227
    • Graf, G.M.1    Schenker, D.2
  • 14
    • 0001405597 scopus 로고
    • A covering lemma with applications to differentiability of measures and singular integral operators
    • M. de Guzmán: A covering lemma with applications to differentiability of measures and singular integral operators. Studia Math., 34, 299-317 1970
    • (1970) Studia Math. , vol.34 , pp. 299-317
    • De Guzmán, M.1
  • 15
    • 84966224507 scopus 로고
    • Bounds on the eigenvalues of the Laplace and Schrödinger operators
    • E.H. Lieb, Bounds on the eigenvalues of the Laplace and Schrödinger operators. Bull. Amer. Math. Soc.,82 751-753 (1976)
    • (1976) Bull. Amer. Math. Soc. , vol.82 , pp. 751-753
    • Lieb, E.H.1
  • 16
    • 51149214209 scopus 로고
    • The stability of matter
    • E.H. Lieb, The stability of matter. Rev.Mod.Phys., 48, 553-569 (1981)
    • (1981) Rev.Mod.Phys. , vol.48 , pp. 553-569
    • Lieb, E.H.1
  • 17
    • 33847043281 scopus 로고
    • Thomas-Fermi and related theories of atoms and molecules
    • E.H. Lieb, Thomas-Fermi and related theories of atoms and molecules. Rev.Mod.Phys., 53, 603-641 (1981)
    • (1981) Rev.Mod.Phys. , vol.53 , pp. 603-641
    • Lieb, E.H.1
  • 18
    • 3342981749 scopus 로고
    • Bound of the maximum negative ionization of atoms and molecules
    • E.H. Lieb, Bound of the maximum negative ionization of atoms and molecules, Phys. Rev. A, 29, 3018-3028 (1984)
    • (1984) Phys. Rev. A , vol.29 , pp. 3018-3028
    • Lieb, E.H.1
  • 19
    • 0000358746 scopus 로고
    • Stability of matter in magnetic fields
    • E.H. Lieb, M. Loss, & J.P. Solovej, 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
  • 20
    • 84983920937 scopus 로고
    • An improved lower bound of the indirect Coulomb energy
    • E.H. Lieb & S. Oxford, An improved lower bound of the indirect Coulomb energy. Int.J.Quamtum.Chem., 19, 427-439 (1981)
    • (1981) Int.J.Quamtum.Chem. , vol.19 , pp. 427-439
    • Lieb, E.H.1    Oxford, S.2
  • 21
    • 33846040104 scopus 로고
    • The Thomas-Fermi theory of atoms, molecules and solids
    • E.H. Lieb & B. Simon, The Thomas-Fermi theory of atoms, molecules and solids. Advances in Math., 23, 22-116, (1977)
    • (1977) Advances in Math. , vol.23 , pp. 22-116
    • Lieb, E.H.1    Simon, B.2
  • 22
    • 0039975360 scopus 로고    scopus 로고
    • Stability and instability of relativistic electrons in classical electromagnetic fields
    • E.H. Lieb, H. Siedentop, & J.P. Solovej, Stability and instability of relativistic electrons in classical electromagnetic fields. Jour.Stat.Phys., 89, 37-59 (1997)
    • (1997) Jour.Stat.Phys. , vol.89 , pp. 37-59
    • Lieb, E.H.1    Siedentop, H.2    Solovej, J.P.3
  • 23
    • 0001325128 scopus 로고
    • Bound for the kinetic energy of fermions which proves the stability of matter
    • E.H. Lieb & W.E. Thirring, Bound for the kinetic energy of fermions which proves the stability of matter. Phys.Rev.Lett., 35, 687-689 (1975)
    • (1975) Phys.Rev.Lett. , vol.35 , pp. 687-689
    • Lieb, E.H.1    Thirring, W.E.2
  • 24
    • 0002667676 scopus 로고
    • The stability and instability of relativistic matter
    • E.H. Lieb & H.T. Yau, 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
  • 25
    • 0000424726 scopus 로고
    • Distribution of the discrete spectrum of singular differential operators
    • G. Rozenblum. Distribution of the discrete spectrum of singular differential operators. Doklady Akademii Nauk SSSR, 202 5, 1012-1015 (1972)
    • (1972) Doklady Akademii Nauk SSSR , vol.202 , Issue.5 , pp. 1012-1015
    • Rozenblum, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.