-
1
-
-
0040810890
-
-
Master's thesis, Institut für Mathematische Physik, Technische Universität Braunschweig, Braunschweig, June
-
Bach, V.: Ein Beweis der Scottschen Vermutung für Ionen. Master's thesis, Institut für Mathematische Physik, Technische Universität Braunschweig, Braunschweig, June 1989
-
(1989)
Ein Beweis der Scottschen Vermutung für Ionen
-
-
Bach, V.1
-
2
-
-
38249026162
-
A proof of Scott's conjecture for ions
-
2
-
Bach V. (1989). A proof of Scott's conjecture for ions. Rep. Math. Phys. 28(2): 213-248
-
(1989)
Rep. Math. Phys.
, vol.28
, pp. 213-248
-
-
Bach, V.1
-
3
-
-
0041723821
-
Error bound for the Hartree-Fock energy of atoms and molecules
-
Bach V. (1992). Error bound for the Hartree-Fock energy of atoms and molecules. Commun. Math. Phys. 147: 527-548
-
(1992)
Commun. Math. Phys.
, vol.147
, pp. 527-548
-
-
Bach, V.1
-
4
-
-
3543044382
-
A proof of Scott's correction for matter
-
1
-
Balodis P. (2004). A proof of Scott's correction for matter. Commun. Math. Phys. 249(1): 79-132
-
(2004)
Commun. Math. Phys.
, vol.249
, pp. 79-132
-
-
Balodis, P.1
-
5
-
-
33746896221
-
The ground-state energy of heavy atoms according to Brown and Ravenhall: Absence of relativistic effects in leading order
-
33
-
Cassanas R. and Siedentop H. (2006). The ground-state energy of heavy atoms according to Brown and Ravenhall: absence of relativistic effects in leading order. J. Phys. A 39(33): 10405-10414
-
(2006)
J. Phys. A
, vol.39
, pp. 10405-10414
-
-
Cassanas, R.1
Siedentop, H.2
-
6
-
-
0002569095
-
The maximum mass of ideal white dwarfs
-
Chandrasekhar S. (1931). The maximum mass of ideal white dwarfs. Astrophys. J. 74: 81-82
-
(1931)
Astrophys. J.
, vol.74
, pp. 81-82
-
-
Chandrasekhar, S.1
-
7
-
-
0001564054
-
An uncertainty principle for Fermions with generalized kinetic energy
-
Daubechies I. (1983). An uncertainty principle for Fermions with generalized kinetic energy. Commun. Math. Phys. 90: 511-520
-
(1983)
Commun. Math. Phys.
, vol.90
, pp. 511-520
-
-
Daubechies, I.1
-
8
-
-
0002976168
-
Heat kernels and spectral theory
-
Cambridge: Cambridge University Press
-
Davies, E.B.: Heat kernels and spectral theory, Volume 92 of Cambridge Tracts in Mathematics. Cambridge: Cambridge University Press, 1990
-
(1990)
Cambridge Tracts in Mathematics
, vol.92
-
-
Davies, E.B.1
-
9
-
-
0242704181
-
Semiclassical theory of atoms
-
Berlin: Springer-Verlag
-
Englert, B.-G.: Semiclassical Theory of Atoms. Number 300 in Lecture Notes in Physics, 1 edition, Berlin: Springer-Verlag, 1988
-
(1988)
Lecture Notes in Physics, 1 Edition
, Issue.300
-
-
Englert, B.-G.1
-
10
-
-
18444372708
-
Statistical atom: Handling the strongly bound electrons
-
5
-
Englert B.-G. and Schwinger J. (1984). Statistical atom: Handling the strongly bound electrons. Phys. Rev. A 29(5): 2331-2338
-
(1984)
Phys. Rev. A
, vol.29
, pp. 2331-2338
-
-
Englert, B.-G.1
Schwinger, J.2
-
11
-
-
0040253595
-
Statistical atom: Some quantum improvements
-
5
-
Englert B.-G. and Schwinger J. (1984). Statistical atom: Some quantum improvements. Phys. Rev. A 29(5): 2339-2352
-
(1984)
Phys. Rev. A
, vol.29
, pp. 2339-2352
-
-
Englert, B.-G.1
Schwinger, J.2
-
12
-
-
0010250715
-
Atomic-binding-energy oscillations
-
Englert B.-G. and Schwinger J. (1985). Atomic-binding-energy oscillations. Phys. Rev. A 32: 47-63
-
(1985)
Phys. Rev. A
, vol.32
, pp. 47-63
-
-
Englert, B.-G.1
Schwinger, J.2
-
13
-
-
0002438624
-
Eigenfunctions and eigenvalues of ordinary differential operators
-
2
-
Fefferman C. and Seco L. (1992). Eigenfunctions and eigenvalues of ordinary differential operators. Adv. Math. 95(2): 145-305
-
(1992)
Adv. Math.
, vol.95
, pp. 145-305
-
-
Fefferman, C.1
Seco, L.2
-
14
-
-
0000184899
-
The density of a one-dimensional potential
-
2
-
Fefferman C. and Seco L. (1994). The density of a one-dimensional potential. Adv. Math. 107(2): 187-364
-
(1994)
Adv. Math.
, vol.107
, pp. 187-364
-
-
Fefferman, C.1
Seco, L.2
-
15
-
-
0000104864
-
The eigenvalue sum of a one-dimensional potential
-
2
-
Fefferman C. and Seco L. (1994). The eigenvalue sum of a one-dimensional potential. Adv. Math. 108(2): 263-335
-
(1994)
Adv. Math.
, vol.108
, pp. 263-335
-
-
Fefferman, C.1
Seco, L.2
-
16
-
-
0002282644
-
On the Dirac and Schwinger corrections to the ground-state energy of an atom
-
1
-
Fefferman C. and Seco L. (1994). On the Dirac and Schwinger corrections to the ground-state energy of an atom. Adv. Math. 107(1): 1-188
-
(1994)
Adv. Math.
, vol.107
, pp. 1-188
-
-
Fefferman, C.1
Seco, L.2
-
17
-
-
0000483185
-
The density in a three-dimensional radial potential
-
1
-
Fefferman C. and Seco L. (1995). The density in a three-dimensional radial potential. Adv. Math. 111(1): 88-161
-
(1995)
Adv. Math.
, vol.111
, pp. 88-161
-
-
Fefferman, C.1
Seco, L.2
-
18
-
-
33746926232
-
An upper bound for the number of electrons in a large ion
-
Fefferman C.L. and Seco L.A. (1989). An upper bound for the number of electrons in a large ion. Proc. Nat. Acad. Sci. USA 86: 3464-3465
-
(1989)
Proc. Nat. Acad. Sci. USA
, vol.86
, pp. 3464-3465
-
-
Fefferman, C.L.1
Seco, L.A.2
-
19
-
-
34249956746
-
Asymptotic neutrality of large ions
-
Fefferman C.L. and Seco L.A. (1990). Asymptotic neutrality of large ions. Commun. Math. Phys. 128: 109-130
-
(1990)
Commun. Math. Phys.
, vol.128
, pp. 109-130
-
-
Fefferman, C.L.1
Seco, L.A.2
-
20
-
-
84968518113
-
On the energy of a large atom
-
2
-
Fefferman C.L. and Seco L.A. (1990). On the energy of a large atom. Bull. AMS 23(2): 525-530
-
(1990)
Bull. AMS
, vol.23
, pp. 525-530
-
-
Fefferman, C.L.1
Seco, L.A.2
-
21
-
-
0001014192
-
Aperiodicity of the Hamiltonian flow in the Thomas-Fermi potential
-
3
-
Fefferman C.L. and Seco L.A. (1993). Aperiodicity of the Hamiltonian flow in the Thomas-Fermi potential. Rev. Math. Iberoamer. 9(3): 409-551
-
(1993)
Rev. Math. Iberoamer.
, vol.9
, pp. 409-551
-
-
Fefferman, C.L.1
Seco, L.A.2
-
23
-
-
33846238566
-
Eine statistische Begründung zur Bestimmung einiger Eigenschaften des Atoms und ihre Anwendungen auf die Theorie des periodischen Systems der Elemente
-
Fermi E. (1928). Eine statistische Begründung zur Bestimmung einiger Eigenschaften des Atoms und ihre Anwendungen auf die Theorie des periodischen Systems der Elemente. Z. Phys. 48: 73-79
-
(1928)
Z. Phys.
, vol.48
, pp. 73-79
-
-
Fermi, E.1
-
24
-
-
55349101942
-
Hardy-Lieb-Thirring inequalities for fractional Schrödinger operators
-
(in press). DOI 10.1090/s0894-0347-07-00582-6
-
Frank, R.L., Lieb, E.H., Seiringer, R.: Hardy-Lieb-Thirring inequalities for fractional Schrödinger operators. J. AMS (in press). DOI 10.1090/s0894-0347-07-00582-6
-
J. AMS
-
-
Frank, R.L.1
Lieb, E.H.2
Seiringer, R.3
-
27
-
-
0007331820
-
An atomic lower bound that agrees with Scott's correction
-
Hughes W. (1990). An atomic lower bound that agrees with Scott's correction. Adv. in Math. 79: 213-270
-
(1990)
Adv. in Math.
, vol.79
, pp. 213-270
-
-
Hughes, W.1
-
28
-
-
38749152546
-
Semiclassical asymptotics for exchange energy
-
Palaiseau: École Polytech. pp. Exp. No. XX, 12
-
Ivrii, V.: Semiclassical asymptotics for exchange energy. In: Séminaire sur les Équations aux Dérivées Partielles, 1993-1994, Palaiseau: École Polytech., 1994, pp. Exp. No. XX, 12
-
(1994)
Séminaire sur les Équations aux Dérivées Partielles, 1993-1994
-
-
Ivrii, V.1
-
29
-
-
0001745291
-
Asymptotics of the ground state energies of large Coulomb systems
-
2
-
Ivrii V.Ja. and Sigal I.M. (1993). Asymptotics of the ground state energies of large Coulomb systems. Ann. of Math. 138(2): 243-335
-
(1993)
Ann. of Math.
, vol.138
, pp. 243-335
-
-
Ivrii, V.Ja.1
Sigal, I.M.2
-
30
-
-
38749100675
-
Heavy atoms in a superstrong magnetic field
-
Providence, RI: Amer. Math. Soc.
-
Ivrii, V.: Heavy atoms in a superstrong magnetic field. In: Differential operators and spectral theory, Providence, RI: Amer. Math. Soc., 1999, pp.125-137
-
(1999)
Differential Operators and Spectral Theory
, pp. 125-137
-
-
Ivrii, V.1
-
31
-
-
28344449070
-
Über die Awendbarkeit der statistischen Methode auf Ionengitter
-
Lenz W. (1932). Über die Awendbarkeit der statistischen Methode auf Ionengitter. Z. Phys. 77: 713-721
-
(1932)
Z. Phys.
, vol.77
, pp. 713-721
-
-
Lenz, W.1
-
32
-
-
0011609035
-
A lower bound for Coulomb energies
-
Lieb E.H. (1979). A lower bound for Coulomb energies. Phys. Lett. 70: 444-446
-
(1979)
Phys. Lett.
, vol.70
, pp. 444-446
-
-
Lieb, E.H.1
-
33
-
-
0000681089
-
Variational principle for Many-Fermion systems
-
Erratum: Phys. Rev. Lett. 47, 69 (1981)
-
Lieb, E.H.: Variational principle for Many-Fermion systems. Phys. Rev. Lett. 46, 457-459 (1981), Erratum: Phys. Rev. Lett. 47, 69 (1981)
-
(1981)
Phys. Rev. Lett.
, vol.46
, pp. 457-459
-
-
Lieb, E.H.1
-
34
-
-
33847043281
-
Thomas-Fermi and related theories of atoms and molecules
-
4
-
Lieb E.H. (1981). Thomas-Fermi and related theories of atoms and molecules. Rev. Mod. Phys. 53(4): 603-641
-
(1981)
Rev. Mod. Phys.
, vol.53
, pp. 603-641
-
-
Lieb, E.H.1
-
35
-
-
0242648945
-
Analysis
-
Providence, RI: American Mathematical Society
-
Lieb, E.H., Loss, M.: Analysis, Volume 14 of Graduate Studies in Mathematics. 2nd edition, Providence, RI: American Mathematical Society, 2001
-
(2001)
Graduate Studies in Mathematics. 2nd Edition
, vol.14
-
-
Lieb, E.H.1
Loss, M.2
-
36
-
-
84983920937
-
Improved lower bound on the indirect Coulomb energy
-
Lieb E.H. and Oxford S. (1981). Improved lower bound on the indirect Coulomb energy. Intern. J. Quantum Chem. 19: 427-439
-
(1981)
Intern. J. Quantum Chem.
, vol.19
, pp. 427-439
-
-
Lieb, E.H.1
Oxford, S.2
-
37
-
-
33846040104
-
The Thomas-Fermi theory of atoms, molecules and solids
-
Lieb E.H. and Simon B. (1977). The Thomas-Fermi theory of atoms, molecules and solids. Adv. Math. 23: 22-116
-
(1977)
Adv. Math.
, vol.23
, pp. 22-116
-
-
Lieb, E.H.1
Simon, B.2
-
38
-
-
0002667676
-
The stability and instability of relativistic matter
-
Lieb E.H. and Yau H.-T. (1988). The stability and instability of relativistic matter. Commun. Math. Phys. 118: 177-213
-
(1988)
Commun. Math. Phys.
, vol.118
, pp. 177-213
-
-
Lieb, E.H.1
Yau, H.-T.2
-
39
-
-
0003991302
-
Integrals of Bessel functions
-
M. Abramowitz, I.A. Stegun, ed. Chapter 9, New York: Dover Publications
-
Luke, Y.F.: Integrals of Bessel functions. In: M. Abramowitz, I.A. Stegun, ed. Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 5th edition, Chapter 9, New York: Dover Publications, 1968, pp. 479-494
-
(1968)
Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 5th Edition
, pp. 479-494
-
-
Luke, Y.F.1
-
40
-
-
12144291635
-
The optimal size of the exchange hole and reduction to one-particle Hamiltonians
-
Mancas, P., Klaus, A., Müller, M., Siedentop, H.: The optimal size of the exchange hole and reduction to one-particle Hamiltonians. In: Theoretical Chemistry Accounts: Theory, Computation, and Modeling (Theoretica Chimica Acta) 111(1), 49-53, (2004)
-
(2004)
Theoretical Chemistry Accounts: Theory, Computation, and Modeling (Theoretica Chimica Acta)
, vol.111
, Issue.1
, pp. 49-53
-
-
Mancas, P.1
Klaus, A.2
Müller, M.3
Siedentop, H.4
-
41
-
-
0034347249
-
On the asymptotic exactness of Thomas-Fermi theory in the thermodynamic limit
-
2
-
Matesanz P.B. and Solovej J.P. (2000). On the asymptotic exactness of Thomas-Fermi theory in the thermodynamic limit. Ann. Henri Poincaré 1(2): 281-306
-
(2000)
Ann. Henri Poincaré
, vol.1
, pp. 281-306
-
-
Matesanz, P.B.1
Solovej, J.P.2
-
42
-
-
0004007405
-
-
Cambridge, MA: Harvard Univ. Press Reprinting of the third edition (1726) with variant readings, Assembled and edited by A. Koyré, I.B. Cohen with the assistance of A. Whitman
-
Newton, I.: Philosophiae naturalis principia mathematica. Vol. I. Cambridge, MA: Harvard Univ. Press, 1972. Reprinting of the third edition (1726) with variant readings, Assembled and edited by A. Koyré, I.B. Cohen with the assistance of A. Whitman
-
(1972)
Philosophiae Naturalis Principia Mathematica
, vol.1
-
-
Newton, I.1
-
43
-
-
0003223065
-
Bessel functions of integer order
-
M. Abramowitz, I.A. Stegun, eds. chapter 9, New York: Dover Publications
-
Olver, F.W.J.: Bessel functions of integer order. In: M. Abramowitz, I.A. Stegun, eds. Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 5th edition, chapter 9, New York: Dover Publications, 1968, pp. 355-433
-
(1968)
Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 5th Edition
, pp. 355-433
-
-
Olver, F.W.J.1
-
44
-
-
38749115918
-
-
PhD thesis, Aarhus Universitet October
-
Sørensen, T.∅.: Towards a Relativistic Scott Correction. PhD thesis, Aarhus Universitet, http://www.imf.au.dk/cgi-bin/viewers/ viewpublications.cgi?id=79, October 1998
-
(1998)
Towards A Relativistic Scott Correction
-
-
Sørensen, T.1
-
45
-
-
18844420251
-
The large-Z behavior of pseudorelativistic atoms
-
5
-
Sørensen T.∅. (2005). The large-Z behavior of pseudorelativistic atoms. J. Math. Phys. 46(5): 052307, 24
-
(2005)
J. Math. Phys.
, vol.46
, pp. 052307
-
-
Sørensen, T.1
-
46
-
-
0003306081
-
Methods of modern mathematical physics. I
-
New York: Academic Press
-
Reed, M., Simon, B.: Methods of modern mathematical physics. I. Functional analysis. New York: Academic Press, 1972
-
(1972)
Functional Analysis
-
-
Reed, M.1
Simon, B.2
-
47
-
-
0008118546
-
Thomas-Fermi model: The leading correction
-
5
-
Schwinger J. (1980). Thomas-Fermi model: The leading correction. Phys. Rev. A 22(5): 1827-1832
-
(1980)
Phys. Rev. A
, vol.22
, pp. 1827-1832
-
-
Schwinger, J.1
-
48
-
-
25344459622
-
Thomas-Fermi model: The second correction
-
5
-
Schwinger J. (1981). Thomas-Fermi model: The second correction. Phys. Rev. A 24(5): 2353-2361
-
(1981)
Phys. Rev. A
, vol.24
, pp. 2353-2361
-
-
Schwinger, J.1
-
49
-
-
34250106497
-
On the leading energy correction for the statistical model of the atom: Interacting case
-
Siedentop H. and Weikard R. (1987). On the leading energy correction for the statistical model of the atom: Interacting case. Commun. Math. Phys. 112: 471-490
-
(1987)
Commun. Math. Phys.
, vol.112
, pp. 471-490
-
-
Siedentop, H.1
Weikard, R.2
-
50
-
-
0039624520
-
Upper bound on the ground state energy of atoms that proves Scott's conjecture
-
Siedentop H. and Weikard R. (1987). Upper bound on the ground state energy of atoms that proves Scott's conjecture. Phys. Lett. A 120: 341-342
-
(1987)
Phys. Lett. A
, vol.120
, pp. 341-342
-
-
Siedentop, H.1
Weikard, R.2
-
51
-
-
84956073261
-
On the leading energy correction of the statistical atom: Lower bound
-
Siedentop H. and Weikard R. (1988). On the leading energy correction of the statistical atom: Lower bound. Europhys. Lett. 6: 189-192
-
(1988)
Europhys. Lett.
, vol.6
, pp. 189-192
-
-
Siedentop, H.1
Weikard, R.2
-
52
-
-
34249971100
-
On the leading correction of the Thomas-Fermi model: Lower bound - With an appendix by A.M.K. Müller
-
Siedentop H. and Weikard R. (1989). On the leading correction of the Thomas-Fermi model: Lower bound - with an appendix by A.M.K. Müller. Invent. Math. 97: 159-193
-
(1989)
Invent. Math.
, vol.97
, pp. 159-193
-
-
Siedentop, H.1
Weikard, R.2
-
53
-
-
0001746857
-
A new phase space localization technique with application to the sum of negative eigenvalues of Schrödinger operators
-
2
-
Siedentop H. and Weikard R. (1991). A new phase space localization technique with application to the sum of negative eigenvalues of Schrödinger operators. Ann. Sci. de l'École Normale Supér. 24(2): 215-225
-
(1991)
Ann. Sci. de l'École Normale Supér.
, vol.24
, pp. 215-225
-
-
Siedentop, H.1
Weikard, R.2
-
54
-
-
33847646155
-
Trace ideals and their applications
-
Providence, RI: Amer. Math. Soc.
-
Simon, B.: Trace ideals and their applications, Volume 120 of Mathematical Surveys and Monographs, 2nd ed. Providence, RI: Amer. Math. Soc., 2005
-
(2005)
Mathematical Surveys and Monographs, 2nd Ed.
, vol.120
-
-
Simon, B.1
-
55
-
-
33846410438
-
A simplification of the Hartree-Fock method
-
3
-
Slater J.C. (1951). A simplification of the Hartree-Fock method. Phys. Rev. 81(3): 385-390
-
(1951)
Phys. Rev.
, vol.81
, pp. 385-390
-
-
Slater, J.C.1
-
56
-
-
84974001842
-
The quasi-classical asymptotics of local Riesz means for the Schrödinger operator in a strong homogeneous magnetic field
-
2
-
Sobolev A.V. (1994). The quasi-classical asymptotics of local Riesz means for the Schrödinger operator in a strong homogeneous magnetic field. Duke Math. J. 74(2): 319-429
-
(1994)
Duke Math. J.
, vol.74
, pp. 319-429
-
-
Sobolev, A.V.1
-
57
-
-
77952509323
-
The relativistic Scott correction
-
M.J. Esteban, C. Le Bris, G. Scuseria, eds. Volume 47/2006 of Oberwolfach Report, Mathematisches Forschungsinstitut Oberwolfach, Berlin: European Mathematical Society
-
Solovej, J.P.: The relativistic Scott correction. In: M.J. Esteban, C. Le Bris, G. Scuseria, eds. Mathematical and Numerical Aspects of Quantum Chemistry Problems, Volume 47/2006 of Oberwolfach Report, Mathematisches Forschungsinstitut Oberwolfach, Berlin: European Mathematical Society, 2006, pp. 52-53
-
(2006)
Mathematical and Numerical Aspects of Quantum Chemistry Problems
, pp. 52-53
-
-
Solovej, J.P.1
-
58
-
-
38749129392
-
New coherent states and a new proof of the Scott correction
-
Advances in differential equations and mathematical physics (Birmingham, AL, 2002) Providence, RI: Amer. Math. Soc.
-
Solovej, J.P., Spitzer, W.L.: New coherent states and a new proof of the Scott correction. In: Advances in differential equations and mathematical physics (Birmingham, AL, 2002), Volume 327 of Contemp. Math., Providence, RI: Amer. Math. Soc., 2003, pp. 305-319
-
(2003)
Contemp. Math.
, vol.327
, pp. 305-319
-
-
Solovej, J.P.1
Spitzer, W.L.2
-
59
-
-
0242593273
-
A new coherent states approach to semiclassics which gives Scott's correction
-
2-3
-
Solovej J.P. and Spitzer W.L. (2003). A new coherent states approach to semiclassics which gives Scott's correction. Commun. Math. Phys. 241(2-3): 383-420
-
(2003)
Commun. Math. Phys.
, vol.241
, pp. 383-420
-
-
Solovej, J.P.1
Spitzer, W.L.2
-
60
-
-
0011365987
-
A lower bound with the best possible constant for Coulomb Hamiltonians
-
Thirring W. (1981). A lower bound with the best possible constant for Coulomb Hamiltonians. Commun. Math. Phys. 79: 1-7
-
(1981)
Commun. Math. Phys.
, vol.79
, pp. 1-7
-
-
Thirring, W.1
-
61
-
-
84937022828
-
The calculation of atomic fields
-
Thomas L.H. (1927). The calculation of atomic fields. Proc. Camb. Phil. Soc. 23: 542-548
-
(1927)
Proc. Camb. Phil. Soc.
, vol.23
, pp. 542-548
-
-
Thomas, L.H.1
-
62
-
-
0040568178
-
Spectral analysis of pseudodifferential operators
-
Weder R. (1975). Spectral analysis of pseudodifferential operators. J. Funct. Anal. 20: 319-337
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(1975)
J. Funct. Anal.
, vol.20
, pp. 319-337
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Weder, R.1
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