메뉴 건너뛰기




Volumn 10, Issue 4, 2000, Pages 321-347

Variational characterization for eigenvalues of Dirac operators

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0007320123     PISSN: 09442669     EISSN: None     Source Type: Journal    
DOI: 10.1007/s005260010321     Document Type: Article
Times cited : (53)

References (33)
  • 1
    • 0008731976 scopus 로고
    • Stable variational calculations with the Dirac Hamiltonian
    • W.E. Bayliss, S. J. Peel. Stable variational calculations with the Dirac Hamiltonian. Physical Review A, 28 (4) (1983), p. 2552-2554
    • (1983) Physical Review A , vol.28 , Issue.4 , pp. 2552-2554
    • Bayliss, W.E.1    Peel, S.J.2
  • 3
    • 0346733628 scopus 로고
    • Sur la propriété de prolongement unique pour l'opérateur de Dirac
    • Sér. A
    • A. Berthier, V. Georgescu. Sur la propriété de prolongement unique pour l'opérateur de Dirac. C. R. Acad. Sci. Paris, Sér. A 291 (1980), p. 603-606
    • (1980) C. R. Acad. Sci. Paris , vol.291 , pp. 603-606
    • Berthier, A.1    Georgescu, V.2
  • 4
    • 0346103146 scopus 로고
    • Sur le spectre ponctuel de l'opérateur de Dirac
    • Sér. A
    • A. Berthier, V. Georgescu. Sur le spectre ponctuel de l'opérateur de Dirac. C. R. Acad. Sci. Paris, Sér. A 297 (1983), p. 335-338
    • (1983) C. R. Acad. Sci. Paris , vol.297 , pp. 335-338
    • Berthier, A.1    Georgescu, V.2
  • 5
    • 0008732773 scopus 로고
    • On the point spectrum for Dirac operators
    • A. Berthier, V. Georgescu. On the point spectrum for Dirac operators. J. Func. Anal. 71 (1987), p. 309-338
    • (1987) J. Func. Anal. , vol.71 , pp. 309-338
    • Berthier, A.1    Georgescu, V.2
  • 7
    • 0001233675 scopus 로고
    • On the interaction of two electrons
    • G.E. Brown, D.G. Ravenhall. On the interaction of two electrons. Proc. Roy. Soc. London A 208 (A 1095) (1951), p. 552-559
    • (1951) Proc. Roy. Soc. London A , vol.208 , Issue.1095 A , pp. 552-559
    • Brown, G.E.1    Ravenhall, D.G.2
  • 8
    • 22444453061 scopus 로고    scopus 로고
    • On the evaluation of the norm of an integral operator associated with the stability of one-electron atoms
    • V.I. Burenkov, W.D. Evans. On the evaluation of the norm of an integral operator associated with the stability of one-electron atoms. Proc. Roy. Soc. Edinburgh A, 128(5) (1998). p. 993-1005
    • (1998) Proc. Roy. Soc. Edinburgh A , vol.128 , Issue.5 , pp. 993-1005
    • Burenkov, V.I.1    Evans, W.D.2
  • 9
    • 0008716679 scopus 로고
    • The minimax technique in relativistic Hartree-Fock calculations
    • S.N. Datta, G. Deviah. The minimax technique in relativistic Hartree-Fock calculations. Pramana 30 (5) (1988), p. 393-416
    • (1988) Pramana , vol.30 , Issue.5 , pp. 393-416
    • Datta, S.N.1    Deviah, G.2
  • 10
    • 0000984614 scopus 로고
    • One-electron relativistic molecules with Coulomb interaction
    • I. Daubechies, E.H. Lieb. One-electron relativistic molecules with Coulomb interaction. Comm. Math. Phys. 90(4) (1983), p. 497-510
    • (1983) Comm. Math. Phys. , vol.90 , Issue.4 , pp. 497-510
    • Daubechies, I.1    Lieb, E.H.2
  • 11
    • 0346733622 scopus 로고
    • Relativistic molecules with Coulomb interaction, in Differential equations
    • I. Knowles and R. Lewis ed., North-Holland, Amsterdam-New York
    • I. Daubechies, E.H. Lieb. Relativistic molecules with Coulomb interaction, in Differential equations, I. Knowles and R. Lewis ed., p. 143-148, North-Holland Math. Stud., 92, North-Holland, Amsterdam-New York, 1984
    • (1984) North-Holland Math. Stud. , vol.92 , pp. 143-148
    • Daubechies, I.1    Lieb, E.H.2
  • 12
    • 0347364147 scopus 로고
    • Relativistic sturmian and finite basis set methods in atomic physics
    • G.W.F. Drake, S.P. Goldman. Relativistic sturmian and finite basis set methods in atomic physics. Adv. Atomic Molecular Phys. 23(1988), p. 23-29
    • (1988) Adv. Atomic Molecular Phys. , vol.23 , pp. 23-29
    • Drake, G.W.F.1    Goldman, S.P.2
  • 13
    • 0002605793 scopus 로고
    • Transformation du Hamiltonien de Dirac en Hamiltoniens variationnels de type Pauli. Application à des atomes hydrogenoïdes
    • série II
    • Ph. Durand. Transformation du Hamiltonien de Dirac en Hamiltoniens variationnels de type Pauli. Application à des atomes hydrogenoïdes. C. R. Acad. Sc. Paris 303, série II, numéro 2 (1986), p. 119-124
    • (1986) C. R. Acad. Sc. Paris , vol.303 , Issue.2 , pp. 119-124
    • Durand, Ph.1
  • 14
    • 0000815311 scopus 로고
    • Effective Hamiltonians and pseudo potentials as tools for rigorous modelling
    • K.P. Lawley ed.. J. Wiley and sons
    • Ph. Durand, J.-P. Malrieu. Effective Hamiltonians and pseudo potentials as tools for rigorous modelling. In Ab initio methods in Quantum Chemistry I. K.P. Lawley ed.. J. Wiley and sons, 1987
    • (1987) Ab Initio Methods in Quantum Chemistry I
    • Durand, Ph.1    Malrieu, J.-P.2
  • 16
    • 0030558277 scopus 로고    scopus 로고
    • The spectrum of realtivistic one-electrom atoms according to Bethe and Salpeter
    • W.D. Evans, P. Perry, H. Siedentop. The spectrum of realtivistic one-electrom atoms according to Bethe and Salpeter. Comm. Math. Phys. 178(3) (1996), p. 733-746
    • (1996) Comm. Math. Phys. , vol.178 , Issue.3 , pp. 733-746
    • Evans, W.D.1    Perry, P.2    Siedentop, H.3
  • 17
    • 0000060563 scopus 로고    scopus 로고
    • A minimax principle for the eigenvalues in spectral gaps
    • Preprint mp-arc 97-492
    • M. Griesemer, H. Siedentop. A minimax principle for the eigenvalues in spectral gaps. Preprint mp-arc 97-492, to appear in J. London Math. Soc.
    • J. London Math. Soc.
    • Griesemer, M.1    Siedentop, H.2
  • 18
    • 24244451781 scopus 로고
    • Critical coupling constants for relativistic wave equations and vacuum breakdown in quantum electrodynamics
    • G. Hardekopf, J. Sucher. Critical coupling constants for relativistic wave equations and vacuum breakdown in quantum electrodynamics. Phys. Rev. A 31(4) (1985), p. 2020-2029
    • (1985) Phys. Rev. A , vol.31 , Issue.4 , pp. 2020-2029
    • Hardekopf, G.1    Sucher, J.2
  • 20
    • 0038329564 scopus 로고
    • A solution to the problem of variational collapse for the one-particle Dirac equation
    • R.N. Hill, C. Krauthauser. A solution to the problem of variational collapse for the one-particle Dirac equation. Phys. Rev. Lett. 72(14) (1994), p. 2151-2154
    • (1994) Phys. Rev. Lett. , vol.72 , Issue.14 , pp. 2151-2154
    • Hill, R.N.1    Krauthauser, C.2
  • 22
    • 0031321343 scopus 로고    scopus 로고
    • Relativistic one-electron Hamiltonians for electrons only' and the variational treatment of the Dirac equation
    • W. Kutzelnigg. Relativistic one-electron Hamiltonians for electrons only' and the variational treatment of the Dirac equation. Chem. Phys. 225 (1997), p. 203-222
    • (1997) Chem. Phys. , vol.225 , pp. 203-222
    • Kutzelnigg, W.1
  • 24
    • 0346733621 scopus 로고
    • Relativistic regular two-component Hamiltonians
    • R. Broek et al ed., Publications Dept. Chem. Phys. and Material sciences. University of Groningen
    • E. van Lenthe, R. van Leeuwen, E.J. Baerends, J.G. Snijders. Relativistic regular two-component Hamiltonians. In New challenges in computational Quantum Chemistry. R. Broek et al ed., Publications Dept. Chem. Phys. and Material sciences. University of Groningen, 1994
    • (1994) New Challenges in Computational Quantum Chemistry
    • Van Lenthe, E.1    Van Leeuwen, R.2    Baerends, E.J.3    Snijders, J.G.4
  • 26
    • 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. J. Stat. Phys. 89 (1997), p. 37-59
    • (1997) J. Stat. Phys. , vol.89 , pp. 37-59
    • Lieb, E.H.1    Siedentop, H.2    Solovej, J.P.3
  • 27
    • 4243635384 scopus 로고    scopus 로고
    • Stability of relativistic matter with magnetic fields
    • E.H. Lieb, H. Siedentop, J.P. Solovej. Stability of relativistic matter with magnetic fields. Phys. Rev. Lett. 79(10) (1997), p. 1755-1758
    • (1997) Phys. Rev. Lett. , vol.79 , Issue.10 , pp. 1755-1758
    • Lieb, E.H.1    Siedentop, H.2    Solovej, J.P.3
  • 30
    • 0000291836 scopus 로고
    • Minimax principle for the Dirac equation
    • J.D. Talman. Minimax principle for the Dirac equation. Phys. Rev. Lett. 57(9) (1986), p. 1091-1094
    • (1986) Phys. Rev. Lett. , vol.57 , Issue.9 , pp. 1091-1094
    • Talman, J.D.1
  • 32
    • 0001130659 scopus 로고    scopus 로고
    • Strict positivity of a relativistic Hamiltonian due to Brown and Ravenhall
    • C. Tix. Strict positivity of a relativistic Hamiltonian due to Brown and Ravenhall. Bull. London Math. Soc. (1998)
    • (1998) Bull. London Math. Soc.
    • Tix, C.1
  • 33
    • 0001731072 scopus 로고    scopus 로고
    • Lower bound for the ground state energy of the no-pair Hamiltonian
    • C. Tix. Lower bound for the ground state energy of the no-pair Hamiltonian. Physics Letters B 405 (1997), p. 293-296
    • (1997) Physics Letters B , vol.405 , pp. 293-296
    • Tix, C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.