Project Euclid

References

• [AI] E. H. Lieb American Institute of Physics Handbook, McGraw-Hill, New York, 1972 third ed., p. 7-6.
  Zentralblatt MATH: 0077.37101
  
• [AM] P. Armbruster and G. Münzenberg, Creating superheavy elements, Scientific American 260 (1989), 66-72.
• [AB] J. Auchmuty and R. Beals, Variational solution of some nonlinear free boundary problems, Arch. Rat. Mech. Anal. 43 (1971), 255-271. See also Models of rotating stars, Astrophys. J. 165 (1971), L79-L82.
  Zentralblatt MATH: 0225.49013
  Mathematical Reviews (MathSciNet): MR337260
  Digital Object Identifier: doi:10.1007/BF00250465
  
• [AB] G. Baym, Neutron stars, in Enclyclopedia of Physics, (R. G. Lerner and G. L. Trigg eds.) Addison-Wesley, London, 1981, pp. 659-660.
  Mathematical Reviews (MathSciNet): MR592959
  
• [BM] M. Born, Quantenmechanik der Stossvorgânge, Z. Phys. 38 (1926), 803-827.
• [CH] S. Chandrasekhar, The maximum mass of ideal white dwarfs, Astrophys. J. S. Chandrasekhar, 74 (1931), 81-82. See also On stars, their evolution and stability, Rev. Mod. Phys. 56(1984), 137-147.
  Zentralblatt MATH: 0002.23502
  
• [CO] J. Conlon, The ground state energy of a classical gas, Comm. Math. Phys. 94 (1984), 439-458.
  Zentralblatt MATH: 0946.82501
  Mathematical Reviews (MathSciNet): MR763746
  Digital Object Identifier: doi:10.1007/BF01403881
  Project Euclid: euclid.cmp/1103941403
  
• [CLY] J. G. Conlon, E. H. Lieb and H-T. Yau, The N^7/5 law for charged bosons, Comm. Math. Phys. 116 (1988), 417-448.
  Mathematical Reviews (MathSciNet): MR937769
  Digital Object Identifier: doi:10.1007/BF01229202
  Project Euclid: euclid.cmp/1104161421
  
• [DA] I. Daubechies, An uncertainity principle for fermions with generalized kinetic energy, Comm. Math. Phys. 90 (1983), 511-520.
  Zentralblatt MATH: 0946.81521
  Mathematical Reviews (MathSciNet): MR719431
  Digital Object Identifier: doi:10.1007/BF01216182
  Project Euclid: euclid.cmp/1103940414
  
• [DAL] I. Daubechies and E. H. Lieb, One electron relativistic molecules with Coulomb interactions, Comm. Math. Phys. 90 (1983), 497-510.
  Zentralblatt MATH: 0946.81522
  Mathematical Reviews (MathSciNet): MR719430
  Digital Object Identifier: doi:10.1007/BF01216181
  Project Euclid: euclid.cmp/1103940413
  
• [D] F. J. Dyson, Ground state energy of a finite system of charged particles, J. Math. Phys. 8 (1967), 1538-1545.
  Mathematical Reviews (MathSciNet): MR2408895
  Digital Object Identifier: doi:10.1063/1.1705389
  
• [DL] F. J. Dyson and A. Lenard, Stability of matter. I and II, J. Math. Phys. 8 (1967), 423-434; ibid 9 (1968), 698-711.
  Zentralblatt MATH: 0948.81665
  Mathematical Reviews (MathSciNet): MR2408896
  Digital Object Identifier: doi:10.1063/1.1705209
  
• [FD] C. Fefferman and R. de la Llave, Relativistic stability of matter. I., Rev. Math. Iberoamericana 2 (1986), 119-215.
  Zentralblatt MATH: 0602.58015
  Mathematical Reviews (MathSciNet): MR1479241
  
• [FE] E. Fermi, Un metodo statistico per la determinazione di alcune priorieta del'atomo, Atti Acad. Naz. Lincei, Rend. 6 (1927), 602-607.
• [FR] A. P. French, Atoms, in Encyclopedia of Physics, (R. G. Lerner and G. L. Trigg eds.), Addison-Wesley, London (1981), p. 64.
  Mathematical Reviews (MathSciNet): MR592959
  
• [H] I. Herbst, Spectral theory of the operator $(p\sp{2}+m\sp{2})\sp{1/2}-Ze\sp{2}/r$, Comm. Math. Phys. 53 (1977), 285-294. Errata, ibid. 55 (1977), 316.
  Zentralblatt MATH: 0375.35047
  Mathematical Reviews (MathSciNet): MR436854
  Digital Object Identifier: doi:10.1007/BF01609852
  Project Euclid: euclid.cmp/1103900706
  
• [HNT] P. Hertel, H. Narnhofer and W. Thirring, Thermodynamic functions for fermions with gravostatic and electrostatic interactions, Comm. Math. Phys. 28(1972), 159-176.
  Mathematical Reviews (MathSciNet): MR1552587
  Digital Object Identifier: doi:10.1007/BF01645513
  Project Euclid: euclid.cmp/1103858367
  
• [HT] P. Hertel and W. Thirring, Free energy of gravitating fermions, Comm. Math. Phys. 24(1971), 22-36.
  Zentralblatt MATH: 0227.47034
  Mathematical Reviews (MathSciNet): MR1552579
  Digital Object Identifier: doi:10.1007/BF01907031
  Project Euclid: euclid.cmp/1103857702
  
• [J] J. H. Jeans, The mathematical theory of electricity and magnetism, Cambridge Univ. Press, Cambridge, third edition, 1915, p. 168.
• [JM] M. Jammer, The conceptual development of quantum mechanics, McGraw Hill, New York, 1966.
• [K] T. Kato, Perturbation theory for linear operators, Springer-Verlag, Heidelberg, 1966. See Remark 5.12 on p. 307.
  Zentralblatt MATH: 0148.12601
  Mathematical Reviews (MathSciNet): MR203473
  
• [KS] H. Kalf, U.-W. Schminke, J. Walter and R. Wüst, On the spectral theory of Schrödinger and Dirac operators with strongly singular potentials, Lecture Notes in Math., vol. 448 Springer-Verlag, Berlin and New York, 1974, pp. 182-226.
  Zentralblatt MATH: 0311.47021
  Mathematical Reviews (MathSciNet): MR397192
  
• [LE] A. Lenard, Lectures on the Coulomb stability problem, Lecture Notes in Physics 20 (1973), 114-135.
• [LI] E. H. Lieb, Stability of matter, Rev. Mod. Phys. 48 (1976), 553-569.
  Zentralblatt MATH: 0372.35066
  Mathematical Reviews (MathSciNet): MR456083
  Digital Object Identifier: doi:10.1103/RevModPhys.48.553
  
• [L2] E. H. Lieb, On characteristic exponents in turbulence, Comm. Math. Phys. 92 (1984), 473-480.
  Zentralblatt MATH: 0598.76054
  Mathematical Reviews (MathSciNet): MR736404
  Digital Object Identifier: doi:10.1007/BF01215277
  Project Euclid: euclid.cmp/1103940924
  
• [L3] E. H. Lieb, Thomas-Fermi and related theories of atoms and molecules, Rev. Mod. Phys. 53 (1981), 603-641; errata ibid 54 (1982), 311.
  Zentralblatt MATH: 1049.81679
  Mathematical Reviews (MathSciNet): MR629207
  Digital Object Identifier: doi:10.1103/RevModPhys.53.603
  
• [L4] E. H. Lieb, Bound on the maximum negative ionization of atoms and molecules, Phys. Rev. 29A (1984), 3018-3028. A summary is in Phys. Rev. Lett. 52 (1984), 315-317.
• [L5] E. H. Lieb, The N5/3 law for bosons, Phys. Lett. A 70 (1979), 71-73.
  Mathematical Reviews (MathSciNet): MR586690
  Digital Object Identifier: doi:10.1016/0375-9601(79)90026-4
  
• [LL] 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.
  Zentralblatt MATH: 1049.82501
  Mathematical Reviews (MathSciNet): MR339751
  Digital Object Identifier: doi:10.1016/0001-8708(72)90023-0
  
• [LO] E. H. Lieb and S. Oxford, An improved lower bound on the indirect Coulomb energy, Int. J. Quant. Chem. 19 (1981), 427-439.
• [LS] E. H. Lieb and B. Simon, The Thomas-Fermi theory of atoms, molecules and solids, Adv. in Math. 23 (1977), 22-116.
  Zentralblatt MATH: 0938.81568
  Mathematical Reviews (MathSciNet): MR428944
  Digital Object Identifier: doi:10.1016/0001-8708(77)90108-6
  
• [LT1 ] E. H. Lieb and W. E. Thirring, Bound for the kinetic energy of fermions which proves the stability of matter, Phys. Rev. Lett. 35 ( 1975), 687-689. Errata ibid. 35(1975), 1116.
• [LT2] E. H. Lieb and W. E. Thirring, Inequalities for the moments of the eigenvalues of the Schrödinger 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.
  Zentralblatt MATH: 0342.35044
  
• [LT3] E. H. Lieb and W. E. Thirring, Gravitational collapse in quantum mechanics with relativistic kinetic energy, Ann. of Phys. (NY) 155 (1984), 494-512.
  Mathematical Reviews (MathSciNet): MR753345
  Digital Object Identifier: doi:10.1016/0003-4916(84)90010-1
  
• [LY1] E. H. Lieb and H-T. Yau, The stability and instability of relativistic matter, Comm. Math. Phys. 118(1988), 177-213. A summary is in Many-body stability implies a bound on the fine structure constant, Phys. Rev. Lett. 61 (1988), 1695-1697.
  Zentralblatt MATH: 0686.35099
  Mathematical Reviews (MathSciNet): MR956165
  Digital Object Identifier: doi:10.1007/BF01218577
  Project Euclid: euclid.cmp/1104161986
  
• [LY2] E. H. Lieb and W. E. Thirring, The Chandrasekhar theory of stellar collapse as the limit of quantum mechanics, Comm. Math. Phys. 112 (1987), 147-174. A summary is in A rigorous examination of the Chandrasekhar theory of stellar collapse, Astrophys. J. 323(1987), 140-144.
  Zentralblatt MATH: 0641.35065
  Mathematical Reviews (MathSciNet): MR904142
  Digital Object Identifier: doi:10.1007/BF01217684
  Project Euclid: euclid.cmp/1104159813
  
• [M] J. Messer, Temperature dependent Thomas-Fermi theory, Lectures Notes in Physics no. 147, Springer-Verlag, Berlin and New York, 1981.
  Zentralblatt MATH: 0464.35081
  Mathematical Reviews (MathSciNet): MR652484
  
• [P] W. Pauli, Über den Zusammenhang des Abschlusses der Elektronengruppen im Atom mit der Komplexstruktur der Spektren, Z. Phys. 31 (1925), 765-785.
• [RB] R. Ruffini and S. Bonazzola, Systems of selfgravitating particles in general relativity and the concept of equation of state, Phys. Rev. 187 (1969), 1767—1783.
• [SE] E. Schrödinger, Quantisierung als Eigenwertproblem, Ann. Phys. 79 (1926), 361-376. See also ibid. 79 (1926), 489-527; 80 (1926), 437-490; 81 (1926), 109-139.
• [ST] S. L. Shapiro and S. A. Teukolsky, Black holes, white dwarfs and neutron stars, Wiley, New York, 1983.
• [T] L. H. Thomas, The calculation of atomic fields, Proc. Cambridge Philos. Soc. 23(1927), 542-548.
• [TW] W. Thirring, A course in mathematical physics, vol. 4, Springer-Verlag, Berlin and New York, 1983.
  Zentralblatt MATH: 0689.53039
  Mathematical Reviews (MathSciNet): MR681697