메뉴 건너뛰기




Volumn , Issue , 2005, Pages 11-59

The stability of matter: From atoms to stars

Author keywords

[No Author keywords available]

Indexed keywords


EID: 84892233092     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1007/3-540-27056-6_2     Document Type: Chapter
Times cited : (43)

References (48)
  • 3
    • 0001063081 scopus 로고
    • Variational solution of some nonlinear free boundary problems
    • J. Auchmuty and R. Beals, Variational solution of some nonlinear free boundary problems, Arch. Rat. Mech. Anal. 43(1971), 255-271.
    • (1971) Arch. Rat. Mech. Anal , vol.43 , pp. 255-271
    • Auchmuty, J.1    Beals, R.2
  • 4
    • 33747048027 scopus 로고
    • Models of rotating stars
    • See also Models of rotating stars, Astrophys. J. 165(1971), L79-L82.
    • (1971) Astrophys. J , vol.165
  • 5
    • 84892327860 scopus 로고
    • Neutron stars
    • R. G. Lerner and G. L. Trigg eds. Addison-Wesley, London
    • G. Baym, Neutron stars, in Enclyclopedia of Physics, (R. G. Lerner and G. L. Trigg eds.) Addison-Wesley, London, 1981, pp. 659-660.
    • (1981) Enclyclopedia of Physics , pp. 659-660
    • Baym, G.1
  • 6
    • 34250907199 scopus 로고
    • Quantenmechanik der Stossvorgänge
    • M. Born, Quantenmechanik der Stossvorgänge, Z. Phys. 38(1926), 803-827.
    • (1926) Z. Phys , vol.38 , pp. 803-827
    • Born, M.1
  • 7
    • 0002569095 scopus 로고
    • The maximum mass of ideal white dwarfs
    • S. Chandrasekhar, The maximum mass of ideal white dwarfs, Astrophys. J. 74(1931), 81-82.
    • (1931) Astrophys. J , vol.74 , pp. 81-82
    • Chandrasekhar, S.1
  • 8
    • 35949024439 scopus 로고
    • On stars, their evolution and stability
    • See also On stars, their evolution and stability, Rev. Mod. Phys. 56(1984), 137-147.
    • (1984) Rev. Mod. Phys , vol.56 , pp. 137-147
  • 9
    • 0001180878 scopus 로고
    • The ground state energy of a classical gas
    • J. Conlon, The ground state energy of a classical gas, Comm. Math. Phys. 94(1984), 439-458.
    • (1984) Comm. Math. Phys , vol.94 , pp. 439-458
    • Conlon, J.1
  • 11
    • 0001564054 scopus 로고
    • An uncertainity principle for fermions with generalized kinetic energy
    • I. Daubechies, An uncertainity principle for fermions with generalized kinetic energy, Comm. Math. Phys. 90(1983), 511-520.
    • (1983) Comm. Math. Phys , vol.90 , pp. 511-520
    • Daubechies, I.1
  • 12
    • 0000984614 scopus 로고
    • One electron relativistic molecules with Coulomb interactions
    • I. Daubechies and E. H. Lieb, One electron relativistic molecules with Coulomb interactions, Comm. Math. Phys. 90(1983), 497-510.
    • (1983) Comm. Math. Phys , vol.90 , pp. 497-510
    • Daubechies, I.1    Lieb, E.H.2
  • 13
    • 0000516272 scopus 로고
    • Ground state energy of a finite system of charged particles
    • F. J. Dyson, Ground state energy of a finite system of charged particles, J. Math. Phys. 8(1967), 1538-1545.
    • (1967) J. Math. Phys , vol.8 , pp. 1538-1545
    • Dyson, F.J.1
  • 14
    • 6144292509 scopus 로고
    • Stability of matter. I and II
    • F. J. Dyson and A. Lenard, Stability of matter. I and II, J. Math. Phys. 8(1967), 423-434
    • (1967) J. Math. Phys , vol.8 , pp. 423-434
    • Dyson, F.J.1    Lenard, A.2
  • 16
    • 0001473913 scopus 로고
    • Un metodo statistico per la determinazione di alcune priorieta delVatomo
    • E. Fermi, Un metodo statistico per la determinazione di alcune priorieta delVatomo, Atti Acad. Naz. Lincei, Rend. 6(1927), 602-607.
    • (1927) Atti Acad. Naz. Lincei, Rend , vol.6 , pp. 602-607
    • Fermi, E.1
  • 17
    • 84892193991 scopus 로고
    • Atoms
    • R. G. Lerner and G. L. Trigg eds., Addison-Wesley, London
    • A. P. French, Atoms, in Encyclopedia of Physics, (R. G. Lerner and G. L. Trigg eds.), Addison-Wesley, London (1981), p. 64.
    • (1981) Encyclopedia of Physics , pp. 64
    • French, A.P.1
  • 19
    • 33645062483 scopus 로고
    • Thermodynamic functions for fermions with gravostatic and electrostatic interactions
    • P. Hertel, H. Narnhofer and W. Thirring, Thermodynamic functions for fermions with gravostatic and electrostatic interactions, Comm. Math. Phys. 28(1972), 159-176.
    • (1972) Comm. Math. Phys , vol.28 , pp. 159-176
    • Hertel, P.1    Narnhofer, H.2    Thirring, W.3
  • 20
    • 0001771296 scopus 로고
    • Free energy of gravitating fermions
    • P. Hertel and W. Thirring, Free energy of gravitating fermions, Comm. Math. Phys. 24(1971), 22-36.
    • (1971) Comm. Math. Phys , vol.24 , pp. 22-36
    • Hertel, P.1    Thirring, W.2
  • 24
    • 0001660531 scopus 로고
    • On the spectral theory of Schrodinger and Dirac operators with strongly singular potentials
    • Springer-Verlag, Berlin and New York
    • H. Kalf, U.-W. Schminke, J. Walter and R. Wüst, On the spectral theory of Schrodinger and Dirac operators with strongly singular potentials, Lecture Notes in Math., vol. 448 Springer-Verlag, Berlin and New York, 1974, pp. 182-226.
    • (1974) Lecture Notes in Math. , vol.448 , pp. 182-226
    • Kalf, H.1    Schminke, U.-W.2    Walter, J.3    Wüst, R.4
  • 25
    • 79953253226 scopus 로고
    • Lectures on the Coulomb stability problem
    • A. Lenard, Lectures on the Coulomb stability problem, Lecture Notes in Physics 20(1973), 114-135.
    • (1973) Lecture Notes in Physics , vol.20 , pp. 114-135
    • Lenard, A.1
  • 26
    • 51149214209 scopus 로고
    • Stability of matter
    • E. H. Lieb, Stability of matter, Rev. Mod. Phys. 48(1976), 553-569.
    • (1976) Rev. Mod. Phys , vol.48 , pp. 553-569
    • Lieb, E.H.1
  • 27
    • 0000251993 scopus 로고
    • On characteristic exponents in turbulence
    • [L2]-, On characteristic exponents in turbulence, Comm. Math. Phys. 92(1984), 473-480.
    • (1984) Comm. Math. Phys , vol.92 , pp. 473-480
  • 28
    • 33847043281 scopus 로고
    • Thomas-Fermi and related theories of atoms and molecules
    • [L3]-, Thomas-Fermi and related theories of atoms and molecules, Rev. Mod. Phys. 53(1981), 603-641
    • (1981) Rev. Mod. Phys , vol.53 , pp. 603-641
  • 29
    • 3342981749 scopus 로고
    • Bound on the maximum negative ionization of atoms and molecules
    • [L4]-, Bound on the maximum negative ionization of atoms and molecules, Phys. Rev. 29 A (1984), 3018-3028.
    • (1984) Phys. Rev. , vol.29 A , pp. 3018-3028
  • 30
    • 35949020315 scopus 로고
    • A summary is in
    • A summary is in Phys. Rev. Lett. 52(1984), 315-317.
    • (1984) Phys. Rev. Lett. , vol.52 , pp. 315-317
  • 31
    • 0242536582 scopus 로고
    • 5/3 law for bosons
    • 5/3 law for bosons, Phys. Lett. A 70(1979), 71-73.
    • (1979) Phys. Lett. A , vol.70 , pp. 71-73
  • 32
    • 0039326621 scopus 로고
    • The constitution of matter: Existence of thermodynamics for systems composed of electrons and nuclei
    • E. H. Lieb and J. L. Lebowitz, The constitution of matter: existence of thermodynamics for systems composed of electrons and nuclei, Adv. in Math. 9(1972), 316-398.
    • (1972) Adv. in Math. , vol.9 , pp. 316-398
    • Lieb, E.H.1    Lebowitz, J.L.2
  • 33
    • 84983920937 scopus 로고
    • An improved lower bound on the indirect Coulomb energy
    • E. H. Lieb and S. Oxford, An improved lower bound on the indirect Coulomb energy, Int. J. Quant. Chem. 19(1981), 427-439.
    • (1981) Int. J. Quant. Chem. , vol.19 , pp. 427-439
    • Lieb, E.H.1    Oxford, S.2
  • 34
    • 33846040104 scopus 로고
    • The Thomas-Fermi theory of atoms, molecules and solids
    • E. H. Lieb and B. Simon, The Thomas-Fermi theory of atoms, molecules and solids, Adv. in Math. 23(1977), 22-116.
    • (1977) Adv. in Math. , vol.23 , pp. 22-116
    • Lieb, E.H.1    Simon, B.2
  • 35
    • 0001325128 scopus 로고
    • Bound for the kinetic energy offermions which proves the stability of matter
    • E. H. Lieb and W. E. Thirring, Bound for the kinetic energy offermions which proves the stability of matter, Phys. Rev. Lett. 35(1975), 687-689.
    • (1975) Phys. Rev. Lett. , vol.35 , pp. 687-689
    • Lieb, E.H.1    Thirring, W.E.2
  • 36
    • 0002624077 scopus 로고
    • Inequalities for the moments of the eigenvalues of the Schrodinger Hamiltonian and their relation to Sobolev inequalities
    • E. Lieb, B. Simon and A. Wightman, eds., Princeton Univ. Press, Princeton, New Jersey
    • [LT2]-, Inequalities for the moments of the eigenvalues of the Schrodinger Hamiltonian and their relation to Sobolev inequalities, in Studies in Mathematical Physics, (E. Lieb, B. Simon and A. Wightman, eds.), Princeton Univ. Press, Princeton, New Jersey, 1976, pp. 269-330.
    • (1976) Studies in Mathematical Physics , pp. 269-330
  • 37
    • 33748291251 scopus 로고
    • Gravitational collapse in quantum mechanics with relativistic kinetic energy
    • [LT3]-, Gravitational collapse in quantum mechanics with relativistic kinetic energy, Ann. of Phys. (NY) 155(1984), 494-512.
    • (1984) Ann. of Phys. (NY) , vol.155 , pp. 494-512
  • 38
    • 0002667676 scopus 로고
    • The stability and instability of relativistic matter
    • E. H. Lieb and H-T. Yau, The stability and instability of relativistic matter, Comm. Math. Phys. 118(1988), 177-213.
    • (1988) Comm. Math. Phys. , vol.118 , pp. 177-213
    • Lieb, E.H.1    Yau, H.-T.2
  • 39
    • 26344444905 scopus 로고
    • Many-body stability implies a bound on the fine structure constant
    • A summary is in
    • A summary is in Many-body stability implies a bound on the fine structure constant, Phys. Rev. Lett. 61(1988), 1695-1697.
    • (1988) Phys. Rev. Lett. , vol.61 , pp. 1695-1697
  • 40
    • 0000539356 scopus 로고
    • The Chandrasekhar theory of stellar collapse as the limit of quantum mechanics
    • -, The Chandrasekhar theory of stellar collapse as the limit of quantum mechanics, Comm. Math. Phys. 112(1987), 147-174.
    • (1987) Comm. Math. Phys. , vol.112 , pp. 147-174
  • 41
    • 4243365484 scopus 로고
    • A rigorous examination of the Chandrasekhar theory of stellar collapse
    • A summary is in
    • A summary is in A rigorous examination of the Chandrasekhar theory of stellar collapse, Astrophys. J. 323(1987), 140-144.
    • (1987) Astrophys. J. , vol.323 , pp. 140-144
  • 42
    • 0005249419 scopus 로고
    • Temperature dependent Thomas-Fermi theory
    • Springer-Verlag, Berlin and New York
    • J. Messer, Temperature dependent Thomas-Fermi theory, Lectures Notes in Physics no. 147, Springer-Verlag, Berlin and New York, 1981.
    • (1981) Lectures Notes in Physics No. 147
    • Messer, J.1
  • 43
    • 56449130063 scopus 로고
    • Uber den Zusammenhang des Abschlusses der Elektronengruppen im Atom mit der Komplexstruktur der Spektren
    • W. Pauli, Uber den Zusammenhang des Abschlusses der Elektronengruppen im Atom mit der Komplexstruktur der Spektren, Z. Phys. 31(1925), 765-785.
    • (1925) Z. Phys. , vol.31 , pp. 765-785
    • Pauli, W.1
  • 44
    • 36049058187 scopus 로고
    • Systems of self-gravitating particles in general relativity and the concept of equation of state
    • R. Ruffini and S. Bonazzola, Systems of self-gravitating particles in general relativity and the concept of equation of state, Phys. Rev. 187(1969), 1767-1783.
    • (1969) Phys. Rev. , vol.187 , pp. 1767-1783
    • Ruffini, R.1    Bonazzola, S.2
  • 45
    • 84975485648 scopus 로고
    • Quantisierung als Eigenwertproblem
    • 109-139
    • E. Schrodinger, Quantisierung als Eigenwertproblem, Ann. Phys. 79(1926), 361-376. 109-139.
    • (1926) Ann. Phys. , vol.79 , pp. 361-376
    • Schrodinger, E.1
  • 47
    • 84937022828 scopus 로고
    • The calculation of atomic fields
    • L. H. Thomas, The calculation of atomic fields, Proc. Cambridge Philos. Soc. 23(1927), 542-548.
    • (1927) Proc. Cambridge Philos. Soc. , vol.23 , pp. 542-548
    • Thomas, L.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.