-
1
-
-
84972547058
-
Schrõdinger operators with magnetic fields, I: General interactions
-
J. Avron, I. Herbst, and B. Simon, Schrõdinger operators with magnetic fields, I: General interactions, Duke J. Math. 45 (1978), 847-883.
-
(1978)
Duke J. Math
, vol.45
, pp. 847-883
-
-
Avron, J.1
Herbst, I.2
Simon, B.3
-
2
-
-
0031549239
-
A Lieb-Thirring bound for a magnetic Pauli Hamiltonian
-
L. Bugliaro et al., A Lieb-Thirring bound for a magnetic Pauli Hamiltonian, Comm. Math. Phys. 187 (1997), 567-582.
-
(1997)
Comm. Math. Phys
, vol.187
, pp. 567-582
-
-
Bugliaro, L.1
-
3
-
-
0003794206
-
Schrõdinger Operators with Application to Quantum Mechanics and Global Geometry
-
Springer-Verlag, Berlin
-
H. L. Cycon et al., Schrõdinger Operators with Application to Quantum Mechanics and Global Geometry, Texts Monogr. Phys., Springer-Verlag, Berlin, 1987.
-
(1987)
Texts Monogr. Phys.
-
-
Cycon, H.L.1
-
4
-
-
0001686697
-
Ground state density of the two-dimensional Pauli operator in the large field limit
-
L. Erdõs, Ground state density of the two-dimensional Pauli operator in the large field limit, Lett. Math. Phys. 29 (1993), 219-240.
-
(1993)
Lett. Math. Phys
, vol.29
, pp. 219-240
-
-
Erdõs, L.1
-
5
-
-
21844527579
-
Magnetic Lieb-Thirring inequalities
-
L. Erdõs, Magnetic Lieb-Thirring inequalities, Comm. Math. Phys. 170 (1995), 629-668.
-
(1995)
Comm. Math. Phys
, vol.170
, pp. 629-668
-
-
Erdõs, L.1
-
6
-
-
0031256665
-
Semiclassical eigenvalue estimates for the Pauli operator with strong non-homogeneous magnetic field, II: Leading order asymptotic estimates
-
L. Erdõs and J. P. Solovej, Semiclassical eigenvalue estimates for the Pauli operator with strong non-homogeneous magnetic field, II: Leading order asymptotic estimates, Comm. Math. Phys. 188 (1997), 599-656.
-
(1997)
Comm. Math. Phys
, vol.188
, pp. 599-656
-
-
Erdõs, L.1
Solovej, J.P.2
-
7
-
-
0029040120
-
Stability of Coulomb systems in a magnetic field
-
C. Feerman, Stability of Coulomb systems in a magnetic field, Proc. Nat. Acad. Sci. U.S.A. 92 (1995), 5006-5007.
-
(1995)
Proc. Nat. Acad. Sci. U.S.A.
, vol.92
, pp. 5006-5007
-
-
Feerman, C.1
-
8
-
-
0001118971
-
Stability of Coulomb systems with magnetic fields, I: The one-electron atom
-
J. Frõhlich, E. H. Lieb, and M. Loss, Stability of Coulomb systems with magnetic fields, I: The one-electron atom, Comm. Math. Phys. 104 (1986), 251-270.
-
(1986)
Comm. Math. Phys
, vol.104
, pp. 251-270
-
-
Frõhlich, J.1
Lieb, E.H.2
Loss, M.3
-
11
-
-
0000901763
-
The number of bound states of one-body Schrõdinger operators and the Weyl problem
-
(Univ. Hawaii, Honolulu, Hawaii, 1979), Proc. Sympos. Pure Math. 36, Amer. Math. Soc., Providence
-
E. H. Lieb, “The number of bound states of one-body Schrõdinger operators and the Weyl problem” in Geometry of the Laplace Operator (Univ. Hawaii, Honolulu, Hawaii, 1979), Proc. Sympos. Pure Math. 36, Amer. Math. Soc., Providence, 1980, 241-251.
-
(1980)
Geometry of the Laplace Operator
, pp. 241-251
-
-
Lieb, E.H.1
-
12
-
-
0000358746
-
Stability of matter in magnetic fields
-
E. H. Lieb, M. Loss, and J. P. Solovej, Stability of matter in magnetic fields, Phys. Rev. Lett. 75 (1995), 985-989.
-
(1995)
Phys. Rev. Lett
, vol.75
, pp. 985-989
-
-
Lieb, E.H.1
Loss, M.2
Solovej, J.P.3
-
13
-
-
21344498680
-
Asymptotics of heavy atoms in high magnetic fields, II: Semiclassical regions
-
E. H. Lieb, J. P. Solovej, and J. Yngvason, Asymptotics of heavy atoms in high magnetic fields, II: Semiclassical regions, Comm. Math. Phys. 161 (1994), 77-124.
-
(1994)
Comm. Math. Phys
, vol.161
, pp. 77-124
-
-
Lieb, E.H.1
Solovej, J.P.2
Yngvason, J.3
-
14
-
-
0001674272
-
Ground states of large quantum dots in magnetic fields
-
E. H. Lieb, J. P. Solovej, and J. Yngvason, Ground states of large quantum dots in magnetic fields, Phys. Rev. B 51 (1995), 10646-10665.
-
(1995)
Phys. Rev. B
, vol.51
, pp. 10646-10665
-
-
Lieb, E.H.1
Solovej, J.P.2
Yngvason, J.3
-
15
-
-
0002624077
-
A bound on the moments of the eigenvalues of the Schrõdinger Hamiltonian and their relation to Sobolev inequalities
-
E. H. Lieb, B. Simon, and A. Wightman, Princeton University Press, Princeton
-
E. H. Lieb and W. Thirring, “A bound on the moments of the eigenvalues of the Schrõdinger Hamiltonian and their relation to Sobolev inequalities” in Studies in Mathematical Physics: Essays in Honor of Valentine Bargmann, ed. E. H. Lieb, B. Simon, and A. Wightman, Princeton University Press, Princeton, 1976, 269-303.
-
(1976)
Studies in Mathematical Physics: Essays in Honor of Valentine Bargmann
, pp. 269-303
-
-
Lieb, E.H.1
Thirring, W.2
-
16
-
-
0001226529
-
Stability of Coulomb systems with magnetic fields, III: Zero energy bound states of the Pauli operator
-
M. Loss and H.-T. Yau, Stability of Coulomb systems with magnetic fields, III: Zero energy bound states of the Pauli operator, Comm. Math. Phys. 104 (1986), 283-290.
-
(1986)
Comm. Math. Phys
, vol.104
, pp. 283-290
-
-
Loss, M.1
Yau, H.-T.2
-
17
-
-
0030299779
-
Spectral estimates for magnetic operators
-
M. Melgaard and G. V. Rozenblum, Spectral estimates for magnetic operators, Math.Scand. 79 (1996), 237-254.
-
(1996)
Math.Scand.
, vol.79
, pp. 237-254
-
-
Melgaard, M.1
Rozenblum, G.V.2
-
18
-
-
34250130156
-
Asymptotic behavior of the energy levels of a quantum particle in a homogeneous magnetic field perturbed by a decreasing electric field
-
A. Sobolev, Asymptotic behavior of the energy levels of a quantum particle in a homogeneous magnetic field perturbed by a decreasing electric field, J. Soviet Math. 35 (1986), 2201-2212.
-
(1986)
J. Soviet Math
, vol.35
, pp. 2201-2212
-
-
Sobolev, A.1
-
19
-
-
0000487708
-
On the Lieb-Thirring estimates for the Pauli operator
-
A. Sobolev, On the Lieb-Thirring estimates for the Pauli operator, Duke Math. J. 82 (1996), 607-635.
-
(1996)
Duke Math. J
, vol.82
, pp. 607-635
-
-
Sobolev, A.1
-
20
-
-
0009366984
-
Lieb-Thirring inequalities for the Pauli operator in three dimensions
-
Quasi-classical Methods (Minneapolis, Minn., 1995), IMA, Springer-Verlag, New York
-
A. Sobolev, “Lieb-Thirring inequalities for the Pauli operator in three dimensions” in Quasi-classical Methods (Minneapolis, Minn., 1995), IMA Vol. Math. Appl. 95, Springer-Verlag, New York, 1997.
-
(1997)
Math. Appl
, pp. 95
-
-
Sobolev, A.1
-
21
-
-
0001235851
-
Asymptotic behavior of the energy of bound states of the Schrõdinger operator in the presence of electric and magnetic fields
-
Spectral Theory: Wave Processes, Leningrad Univ., Leningrad
-
S. N. Solnyshkin, “Asymptotic behavior of the energy of bound states of the Schrõdinger operator in the presence of electric and magnetic fields” in Spectral Theory: Wave Processes, Probl. Mat. Fiz. 10, Leningrad Univ., Leningrad, 1982, 266-278.
-
(1982)
Probl. Mat. Fiz
, vol.10
, pp. 266-278
-
-
Solnyshkin, S.N.1
|