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Volumn 46, Issue 5, 2005, Pages

The large- Z Behavior of pseudorelativistic atoms

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EID: 18844420251     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1897645     Document Type: Article
Times cited : (22)

References (22)
  • 1
    • 23044527091 scopus 로고    scopus 로고
    • Dissociation of homonuclear relativistic molecular ions
    • Benguria, R., Siedentop, H., and Stockmeyer, E., " Dissociation of homonuclear relativistic molecular ions., " Ann. Henri Poincare 2 27-40 (2001).
    • (2001) Ann. Henri Poincare , vol.2 , pp. 27-40
    • Benguria, R.1    Siedentop, H.2    Stockmeyer, E.3
  • 2
    • 0001180878 scopus 로고
    • The ground state energy of a classical gas
    • Conlon, J. G., " 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, J.G.1
  • 4
    • 0001564054 scopus 로고
    • An uncertainty principle for fermions with generalized kinetic energy
    • Daubechies, I. " An uncertainty principle for fermions with generalized kinetic energy., " Commun. Math. Phys. 90, 511-520 (1983).
    • (1983) Commun. Math. Phys. , vol.90 , pp. 511-520
    • Daubechies, I.1
  • 6
    • 0030266202 scopus 로고    scopus 로고
    • Counting eigenvalues using coherent states with an application to Dirac and Schrödinger operators in the semi-classical limit
    • Evans, W. D., Lewis, R. T., Siedentop, H., and Solovej, J. P., " Counting eigenvalues using coherent states with an application to Dirac and Schrödinger operators in the semi-classical limit., " Ark. Mat. 34, 265-283 (1996).
    • (1996) Ark. Mat. , vol.34 , pp. 265-283
    • Evans, W.D.1    Lewis, R.T.2    Siedentop, H.3    Solovej, J.P.4
  • 7
    • 0002605789 scopus 로고
    • Relativistic stability of matter. I
    • Fefferman, C. and de la Llave, R., " Relativistic stability of matter. I., " Rev. Mat. Iberoam. 2, 119-213 (1986).
    • (1986) Rev. Mat. Iberoam. , vol.2 , pp. 119-213
    • Fefferman, C.1    De La Llave, R.2
  • 10
    • 0038692152 scopus 로고    scopus 로고
    • The essential spectrum of relativistic multi-particle operators
    • Lewis, R. T., Siedentop, H., and Vugalter, S., " The essential spectrum of relativistic multi-particle operators., " Ann. I.H.P. Phys. Theor. 67, 1-28 (1997).
    • (1997) Ann. I.H.P. Phys. Theor. , vol.67 , pp. 1-28
    • Lewis, R.T.1    Siedentop, H.2    Vugalter, S.3
  • 11
    • 33847043281 scopus 로고
    • Thomas-Fermi and related theories of atoms and molecules
    • Lieb, E. H., " 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
  • 12
    • 0000681089 scopus 로고
    • Variational principle for many-fermion systems
    • Lieb, E. H., " Variational principle for many-fermion systems., " Phys. Rev. Lett. 46, 457-459 (1981)
    • (1981) Phys. Rev. Lett. , vol.46 , pp. 457-459
    • Lieb, E.H.1
  • 13
    • 84990669494 scopus 로고
    • Density functionals for Coulomb systems
    • Lieb, E. H., " Density functionals for Coulomb systems., " Int. J. Quantum Chem. 24, 243-277 (1983).
    • (1983) Int. J. Quantum Chem. , vol.24 , pp. 243-277
    • Lieb, E.H.1
  • 14
    • 33846040104 scopus 로고
    • The Thomas-Fermi theory of atoms, molecules and solids
    • Lieb, E. H. and Simon, B., " The Thomas-Fermi theory of atoms, molecules and solids., " Adv. Math. 23, 22-116 (1977).
    • (1977) Adv. Math. , vol.23 , pp. 22-116
    • Lieb, E.H.1    Simon, B.2
  • 15
    • 0001325128 scopus 로고
    • A bound for the kinetic energy of fermions which proves the stability of matter
    • Lieb, E. H. and Thirring, W., " A 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.2
  • 16
    • 0000539356 scopus 로고
    • The Chandrasekhar theory of stellar collapse as the limit of quantum mechanics
    • Lieb, E. H. and Yau, H. T., " The Chandrasekhar theory of stellar collapse as the limit of quantum mechanics., " Commun. Math. Phys. 112, 147-174 (1987).
    • (1987) Commun. Math. Phys. , vol.112 , pp. 147-174
    • Lieb, E.H.1    Yau, H.T.2
  • 17
    • 0002667676 scopus 로고
    • The stability and instability of relativistic matter
    • 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
  • 19
    • 3142770622 scopus 로고    scopus 로고
    • The discrete spectrum of a multiparticle pseudorelativistic Hamiltonian
    • Vugal'ter, S. A. and Zhislin, G. M., " The discrete spectrum of a multiparticle pseudorelativistic Hamiltonian., " Funkc. Anal. Priloz. 32, 83-86 (1998).
    • (1998) Funkc. Anal. Priloz. , vol.32 , pp. 83-86
    • Vugal'Ter, S.A.1    Zhislin, G.M.2
  • 20
    • 0033237081 scopus 로고    scopus 로고
    • Spectral properties of a pseudorelativistic system of two particles with finite masses
    • Vugal'ter, S. A. and Zhislin, G. M., " Spectral properties of a pseudorelativistic system of two particles with finite masses., " Teor. Mat. Fiz. 121, 297-306 (1999).
    • (1999) Teor. Mat. Fiz. , vol.121 , pp. 297-306
    • Vugal'Ter, S.A.1    Zhislin, G.M.2
  • 21
    • 3142752791 scopus 로고    scopus 로고
    • On the discrete spectrum of Hamiltonians for pseudorelativistic electrons
    • Vugal'ter, S. A. and Zhislin, G. M., " On the discrete spectrum of Hamiltonians for pseudorelativistic electrons., " Izv. Ross. Akad. Nauk, Ser. Fiz. 66, 71-102 (2002).
    • (2002) Izv. Ross. Akad. Nauk, Ser. Fiz. , vol.66 , pp. 71-102
    • Vugal'Ter, S.A.1    Zhislin, G.M.2
  • 22
    • 0040568178 scopus 로고
    • Spectral analysis of pseudodifferential operators
    • Weder, R. A., " Spectral analysis of pseudodifferential operators., " J. Funct. Anal. 20, 319-337 (1975).
    • (1975) J. Funct. Anal. , vol.20 , pp. 319-337
    • Weder, R.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.