-
1
-
-
0000127371
-
Positive compact operators on Banach lattices
-
C. D. Aliprantis and O. Burkinshaw, Positive compact operators on Banach lattices, Math. Z. 174 (1980), no. 3, 289-298.
-
(1980)
Math. Z.
, vol.174
, Issue.3
, pp. 289-298
-
-
Aliprantis, C.D.1
Burkinshaw, O.2
-
2
-
-
84972547058
-
Schrödinger operators with magnetic fields, I. General interactions
-
J. Avron, I. Herbst, and B. Simon, Schrödinger operators with magnetic fields, I. General interactions, Duke Math. J. 45 (1978), 847-883.
-
(1978)
Duke Math. J.
, vol.45
, pp. 847-883
-
-
Avron, J.1
Herbst, I.2
Simon, B.3
-
3
-
-
84972566320
-
Almost periodic Schrödinger operators, II. The integrated density of states
-
J. Avron and B. Simon, Almost periodic Schrödinger operators, II. The integrated density of states, Duke Math. J. 50 (1983), 369-391.
-
(1983)
Duke Math. J.
, vol.50
, pp. 369-391
-
-
Avron, J.1
Simon, B.2
-
4
-
-
0003417636
-
Operator algebras and quantum statistical mechanics. 2, Equilibrium states, Models in quantum statistical mechanics, Second edition
-
Springer-Verlag, Berlin
-
O. Bratteli and D. W. Robinson, Operator algebras and quantum statistical mechanics. 2, Equilibrium states, Models in quantum statistical mechanics, Second edition, Texts and Monographs in Physics, Springer-Verlag, Berlin 1997.
-
(1997)
Texts and Monographs in Physics
-
-
Bratteli, O.1
Robinson, D.W.2
-
5
-
-
0002693424
-
Self-averaging, decomposition, and asymptotic properties of the density of states for random Schrödinger operators with constant magnetic field
-
eds. H. Grabert, A. Inomata, L. S. Schulman, and U. Weiss, World Scientific, Singapore
-
K. Broderix, D. Hundertmark, and H. Leschke, Self-averaging, decomposition, and asymptotic properties of the density of states for random Schrödinger operators with constant magnetic field, in: Path integrals from meV to MeV, Tutzing 1993, eds. H. Grabert, A. Inomata, L. S. Schulman, and U. Weiss, World Scientific, Singapore 1993.
-
(1993)
Path Integrals from MeV to MeV, Tutzing 1993
-
-
Broderix, K.1
Hundertmark, D.2
Leschke, H.3
-
6
-
-
0034395580
-
Continuity properties of Schrödinger semigroups with magnetic fields
-
K. Broderix, D. Hundertmark, and H. Leschke, Continuity properties of Schrödinger semigroups with magnetic fields, Rev. Math. Phys. 12 (2000), no. 2, 181-225.
-
(2000)
Rev. Math. Phys.
, vol.12
, Issue.2
, pp. 181-225
-
-
Broderix, K.1
Hundertmark, D.2
Leschke, H.3
-
8
-
-
0002221209
-
Classical bounds and limits for energy distributions of Hamilton operators in electromagnetic fields
-
J. M. Combes, R. Schrader, and R. Seiler, Classical bounds and limits for energy distributions of Hamilton operators in electromagnetic fields, Ann. Physics 111 (1978), no. 1, 1-18.
-
(1978)
Ann. Physics
, vol.111
, Issue.1
, pp. 1-18
-
-
Combes, J.M.1
Schrader, R.2
Seiler, R.3
-
9
-
-
0003794206
-
-
Springer, Berlin 1984
-
H. L. Cycon, R. G. Froese, W. Kirsch, and B. Simon, Schrödinger operators: With application to quantum mechanics and global geometry, Springer, Berlin 1984.
-
Schrödinger Operators: With Application to Quantum Mechanics and Global Geometry
-
-
Cycon, H.L.1
Froese, R.G.2
Kirsch, W.3
Simon, B.4
-
11
-
-
0002976168
-
Heat kernels and spectral theory
-
Cambridge University Press, Cambridge
-
E. B. Davies, Heat kernels and spectral theory, Cambridge Tracts Math. 92, Cambridge University Press, Cambridge 1990.
-
(1990)
Cambridge Tracts Math.
, vol.92
-
-
Davies, E.B.1
-
12
-
-
0001508569
-
Spectral properties of the Neumann Laplacian of horns
-
E. B. Davies and B. Simon, Spectral properties of the Neumann Laplacian of horns, Geom. Funct. Anal. 2 (1992), 105-117.
-
(1992)
Geom. Funct. Anal.
, vol.2
, pp. 105-117
-
-
Davies, E.B.1
Simon, B.2
-
13
-
-
51249184169
-
Compact operators in Banach lattices
-
P. G. Dodds and D. H. Fremlin, Compact operators in Banach lattices, Israel J. Math. 34 (1979), no. 4, 287-320.
-
(1979)
Israel J. Math.
, vol.34
, Issue.4
, pp. 287-320
-
-
Dodds, P.G.1
Fremlin, D.H.2
-
14
-
-
0035534688
-
The uniqueness of the integrated density of states for the Schrödinger operators with magnetic fields
-
S.-I. Doi, A. Iwatsuka, and T. Mine, The uniqueness of the integrated density of states for the Schrödinger operators with magnetic fields, Math. Z. 237 (2001), no. 2, 335-371.
-
(2001)
Math. Z.
, vol.237
, Issue.2
, pp. 335-371
-
-
Doi, S.-I.1
Iwatsuka, A.2
Mine, T.3
-
15
-
-
38249041049
-
The effect of boundary conditions on the density of states for random Schrödinger operators
-
J. Droese and W. Kirsch, The effect of boundary conditions on the density of states for random Schrödinger operators, Stochastic Process. Appl. 23 (1986), no. 1, 169-175.
-
(1986)
Stochastic Process. Appl.
, vol.23
, Issue.1
, pp. 169-175
-
-
Droese, J.1
Kirsch, W.2
-
16
-
-
0000962398
-
The free energy of a macroscopic system
-
M. Fisher, The free energy of a macroscopic system, Arch. Rat. Mech. Anal. 17 (1964), 377-410.
-
(1964)
Arch. Rat. Mech. Anal.
, vol.17
, pp. 377-410
-
-
Fisher, M.1
-
17
-
-
3142751643
-
Elliptic partial differential equations of second order
-
Springer, Berlin
-
D. Gilbarg and N. Trudinger, Elliptic Partial Differential Equations of Second Order, Classics in Mathematics, Springer, Berlin 1998.
-
(1998)
Classics in Mathematics
-
-
Gilbarg, D.1
Trudinger, N.2
-
18
-
-
0000620718
-
The essential spectrum of Neumann Laplacians on some bounded singular domains
-
R. Hempel, L. Seco, and B. Simon, The essential spectrum of Neumann Laplacians on some bounded singular domains, J. Funct. Anal. 102 (1991), 448-483.
-
(1991)
J. Funct. Anal.
, vol.102
, pp. 448-483
-
-
Hempel, R.1
Seco, L.2
Simon, B.3
-
19
-
-
84972582297
-
Domination of semigroups and generalization of Kato's inequality
-
H. Hess, R. Schrader, and D. A. Uhlenbrock, Domination of semigroups and generalization of Kato's inequality, Duke Math. J. 44 (1977), no. 4, 893-904.
-
(1977)
Duke Math. J.
, vol.44
, Issue.4
, pp. 893-904
-
-
Hess, H.1
Schrader, R.2
Uhlenbrock, D.A.3
-
20
-
-
0035536778
-
The absolute continuity of the integrated density of states for magnetic Schrödinger operators with certain unbounded random potentials
-
T. Hupfer, H. Leschke, P. Müller, and S. Warzel, The absolute continuity of the integrated density of states for magnetic Schrödinger operators with certain unbounded random potentials, Comm. Math. Phys. 221 (2001), no. 2, 229-254.
-
(2001)
Comm. Math. Phys.
, vol.221
, Issue.2
, pp. 229-254
-
-
Hupfer, T.1
Leschke, H.2
Müller, P.3
Warzel, S.4
-
21
-
-
0035733037
-
Existence and uniqueness of the integrated density of states for Schrödinger operators with magnetic fields and unbounded random potentials
-
T. Hupfer, H. Leschke, P. Müller, and S. Warzel, Existence and uniqueness of the integrated density of states for Schrödinger operators with magnetic fields and unbounded random potentials, Rev. Math. Phys. 13 (2001), no. 12, 1547-1581.
-
(2001)
Rev. Math. Phys.
, vol.13
, Issue.12
, pp. 1547-1581
-
-
Hupfer, T.1
Leschke, H.2
Müller, P.3
Warzel, S.4
-
22
-
-
51249191546
-
Schrödinger operators with singular potentials
-
Proceedings of the International Symposium on Partial Differential Equations and the Geometry of Normed Linear Spaces, Jerusalem 1972
-
T. Kato, Schrödinger operators with singular potentials, Proceedings of the International Symposium on Partial Differential Equations and the Geometry of Normed Linear Spaces, Jerusalem 1972, Israel J. Math. 13 (1972), 135-148.
-
(1972)
Israel J. Math.
, vol.13
, pp. 135-148
-
-
Kato, T.1
-
23
-
-
0000818766
-
Random Schrödinger operators. A course
-
Schrödinger operators (Sønderborg 1988), Springer, Berlin
-
W. Kirsch, Random Schrödinger operators. A course, Schrödinger operators (Sønderborg 1988), Lect. Notes Phys. 345, Springer, Berlin (1989), 264-370.
-
(1989)
Lect. Notes Phys.
, vol.345
, pp. 264-370
-
-
Kirsch, W.1
-
24
-
-
0000059648
-
On the density of states of Schrödinger operators with a random potential
-
W. Kirsch and F. Martinelli, On the density of states of Schrödinger operators with a random potential, J. Phys. A 15 (1982), no. 7, 2139-2156.
-
(1982)
J. Phys. A
, vol.15
, Issue.7
, pp. 2139-2156
-
-
Kirsch, W.1
Martinelli, F.2
-
25
-
-
0010964692
-
On the essential selfadjointness of stochastic Schrödinger operators
-
W. Kirsch and F. Martinelli, On the essential selfadjointness of stochastic Schrödinger operators, Duke Math. J. 50 (1983), no. 4, 1255-1260.
-
(1983)
Duke Math. J.
, vol.50
, Issue.4
, pp. 1255-1260
-
-
Kirsch, W.1
Martinelli, F.2
-
26
-
-
0003131388
-
A remark on a paper: "A compactness condition for linear operators of function spaces"
-
H. Leinfelder, A remark on a paper: "A compactness condition for linear operators of function spaces" (J. Oper. Th. 1 (1979), no. 1, 49-54) by L. D. Pitt, Bayreuther Math. Sehr. 11 (1982), 57-66.
-
(1979)
J. Oper. Th.
, vol.1
, Issue.1
, pp. 49-54
-
-
Leinfelder, H.1
-
27
-
-
3142720833
-
-
H. Leinfelder, A remark on a paper: "A compactness condition for linear operators of function spaces" (J. Oper. Th. 1 (1979), no. 1, 49-54) by L. D. Pitt, Bayreuther Math. Sehr. 11 (1982), 57-66.
-
(1982)
Bayreuther Math. Sehr.
, vol.11
, pp. 57-66
-
-
Pitt, L.D.1
-
28
-
-
0001815299
-
Schrödinger operators with singular magnetic vector potentials
-
H. Leinfelder and C. Simader, Schrödinger operators with singular magnetic vector potentials, Math. Z. 176 (1981), no. 1, 1-19.
-
(1981)
Math. Z.
, vol.176
, Issue.1
, pp. 1-19
-
-
Leinfelder, H.1
Simader, C.2
-
29
-
-
0003819707
-
-
Translated from the Russian by Eugene Yankovsky, Wiley-Interscience Publication, John Wiley & Sons, New York
-
I. Lifshits, S. Gredeskul, and L. Pastur, Introduction to the theory of disordered systems, Translated from the Russian by Eugene Yankovsky, Wiley-Interscience Publication, John Wiley & Sons, New York 1988.
-
(1988)
Introduction to the Theory of Disordered Systems
-
-
Lifshits, I.1
Gredeskul, S.2
Pastur, L.3
-
30
-
-
0031574595
-
Dominated semigroups with singular complex potentials
-
V. Liskevich and A. Manavi, Dominated semigroups with singular complex potentials, J. Funct. Anal. 151 (1997), no. 2, 281-305.
-
(1997)
J. Funct. Anal.
, vol.151
, Issue.2
, pp. 281-305
-
-
Liskevich, V.1
Manavi, A.2
-
32
-
-
84972572897
-
On the integrated density of states for the Schrödinger operators with certain random electromagnetic potentials
-
H. Matsumoto, On the integrated density of states for the Schrödinger operators with certain random electromagnetic potentials, J. Math. Soc. Japan 45 (1993), no. 2, 197-214.
-
(1993)
J. Math. Soc. Japan
, vol.45
, Issue.2
, pp. 197-214
-
-
Matsumoto, H.1
-
33
-
-
0003035749
-
A remark on the Dirichlet-Neumann decoupling and the integrated density of states
-
S. Nakamura, A remark on the Dirichlet-Neumann decoupling and the integrated density of states, J. Funct. Anal. 179 (2001), no. 1, 136-152.
-
(2001)
J. Funct. Anal.
, vol.179
, Issue.1
, pp. 136-152
-
-
Nakamura, S.1
-
34
-
-
0000188166
-
On the spectral distribution of the Schrödinger operator with random potential
-
S. Nakao, On the spectral distribution of the Schrödinger operator with random potential, Japan. J. Math. (N.S.) 3 (1977), no. 1, 111-139.
-
(1977)
Japan. J. Math. (N.S.)
, vol.3
, Issue.1
, pp. 111-139
-
-
Nakao, S.1
-
35
-
-
21444449002
-
Invariance of closed convex sets and domination criteria for semigroups
-
E.-M. Ouhabaz, Invariance of closed convex sets and domination criteria for semigroups, Pot. Anal. 5 (1996), no. 6, 611-625.
-
(1996)
Pot. Anal.
, vol.5
, Issue.6
, pp. 611-625
-
-
Ouhabaz, E.-M.1
-
36
-
-
0007137847
-
The Schrödinger equation with random potential
-
L. Pastur, The Schrödinger equation with random potential, Theor. Math. Phys. 6 (1971), 299-306, Russian original: Teoret. Mat. Fiz. 6 (1971), no. 3, 415-424.
-
(1971)
Theor. Math. Phys.
, vol.6
, pp. 299-306
-
-
Pastur, L.1
-
37
-
-
0007137847
-
-
L. Pastur, The Schrödinger equation with random potential, Theor. Math. Phys. 6 (1971), 299-306, Russian original: Teoret. Mat. Fiz. 6 (1971), no. 3, 415-424.
-
(1971)
Russian Original: Teoret. Mat. Fiz.
, vol.6
, Issue.3
, pp. 415-424
-
-
-
38
-
-
34250250635
-
Spectral properties of disordered systems in the one-body approximation
-
L. Pastur, Spectral properties of disordered systems in the one-body approximation, Comm. Math. Phys. 75 (1980), no. 2, 179-196.
-
(1980)
Comm. Math. Phys.
, vol.75
, Issue.2
, pp. 179-196
-
-
Pastur, L.1
-
39
-
-
0003782825
-
Spectra of random and almost-periodic operators, fundamental principles of mathematical sciences
-
Springer, Berlin
-
L. Pastur and A. Figotin, Spectra of random and almost-periodic operators, Fundamental Principles of Mathematical Sciences, Grundl. Math. Wiss. 297, Springer, Berlin 1992.
-
(1992)
Grundl. Math. Wiss.
, vol.297
-
-
Pastur, L.1
Figotin, A.2
-
40
-
-
0003131388
-
A compactness condition for linear operators of function spaces
-
L. D. Pitt, A compactness condition for linear operators of function spaces, J. Oper. Th. 1 (1979), no. 1, 49-54.
-
(1979)
J. Oper. Th.
, vol.1
, Issue.1
, pp. 49-54
-
-
Pitt, L.D.1
-
41
-
-
0343786212
-
-
Revised and enlarged edition, Academic Press, New York
-
M. Reed and B. Simon, Methods of modern mathematical physics, I: Functional analysis, Revised and enlarged edition, Academic Press, New York 1980.
-
(1980)
Methods of Modern Mathematical Physics, I: Functional Analysis
-
-
Reed, M.1
Simon, B.2
-
44
-
-
0004048496
-
Path integral approach to quantum physics. An introduction
-
Springer-Verlag, Berlin
-
G. Roepstorff, Path integral approach to quantum physics. An introduction, Texts and Monographs in Physics, Springer-Verlag, Berlin 1994.
-
(1994)
Texts and Monographs in Physics
-
-
Roepstorff, G.1
-
45
-
-
0003707206
-
-
Reprint of the 1989 edition, World Scientific River Edge, NJ; Imperial College Press, London
-
D. Ruelle, Statistical mechanics. Rigorous results, Reprint of the 1989 edition, World Scientific River Edge, NJ; Imperial College Press, London 1999.
-
(1999)
Statistical Mechanics. Rigorous Results
-
-
Ruelle, D.1
-
47
-
-
0000488253
-
Universal diamagnetism of spinless bose systems
-
B. Simon, Universal diamagnetism of spinless bose systems, Phys. Rev. Lett. 36 (1976), 1083-1084.
-
(1976)
Phys. Rev. Lett.
, vol.36
, pp. 1083-1084
-
-
Simon, B.1
-
48
-
-
0001518364
-
An abstract Kato's inequality for generators of positivity preserving semi-groups
-
B. Simon, An abstract Kato's inequality for generators of positivity preserving semi-groups, Ind. Math. J. 26 (1977), 1067-1073.
-
(1977)
Ind. Math. J.
, vol.26
, pp. 1067-1073
-
-
Simon, B.1
-
49
-
-
0000941292
-
A canonical decomposition for quadratic forms with applications to monotone convergence theorems
-
B. Simon, A canonical decomposition for quadratic forms with applications to monotone convergence theorems, J. Funct. Anal. 28 (1978), no. 3, 377-385.
-
(1978)
J. Funct. Anal.
, vol.28
, Issue.3
, pp. 377-385
-
-
Simon, B.1
-
50
-
-
0039740412
-
Classical boundary conditions as a technical tool in modern mathematical physics
-
B. Simon, Classical boundary conditions as a technical tool in modern mathematical physics, Adv. Math. 30 (1978), no. 3, 268-281.
-
(1978)
Adv. Math.
, vol.30
, Issue.3
, pp. 268-281
-
-
Simon, B.1
-
52
-
-
0002596898
-
Maximal and minimal Schrödinger forms
-
B. Simon, Maximal and minimal Schrödinger forms, J. Oper. Th. 1 (1979), 37-47.
-
(1979)
J. Oper. Th.
, vol.1
, pp. 37-47
-
-
Simon, B.1
-
53
-
-
0002093591
-
Kato's inequality and the comparison of semi-groups
-
B. Simon, Kato's inequality and the comparison of semi-groups, J. Funct. Anal. 32 (1979), 97-101.
-
(1979)
J. Funct. Anal.
, vol.32
, pp. 97-101
-
-
Simon, B.1
-
54
-
-
84966201521
-
The Neumann Laplacian of a jelly roll
-
B. Simon, The Neumann Laplacian of a jelly roll, Proc. Amer. Math. Soc. 114 (1992), 783-785.
-
(1992)
Proc. Amer. Math. Soc.
, vol.114
, pp. 783-785
-
-
Simon, B.1
-
55
-
-
0011027509
-
Admissible and regular potentials for Schrödinger forms
-
P. Stollmann, Admissible and regular potentials for Schrödinger forms, J. Oper. Th. 18 (1987), no. 1, 139-151.
-
(1987)
J. Oper. Th.
, vol.18
, Issue.1
, pp. 139-151
-
-
Stollmann, P.1
-
57
-
-
84972526612
-
Stochastic differential equations with reflecting boundary condition in convex regions
-
H. Tanaka, Stochastic differential equations with reflecting boundary condition in convex regions, Hiroshima Math. J. 9 (1979), no. 1, 163-177.
-
(1979)
Hiroshima Math. J.
, vol.9
, Issue.1
, pp. 163-177
-
-
Tanaka, H.1
-
58
-
-
84972571649
-
On spectra of random Schrödinger operators with magnetic fields
-
N. Ueki, On spectra of random Schrödinger operators with magnetic fields, Osaka J. Math. 31 (1994), no. 1, 177-187.
-
(1994)
Osaka J. Math.
, vol.31
, Issue.1
, pp. 177-187
-
-
Ueki, N.1
-
59
-
-
38249040541
-
Absorption semigroups, their generators, and Schrödinger semigroups
-
J. Voigt, Absorption semigroups, their generators, and Schrödinger semigroups, J. Funct. Anal. 67 (1986), no. 2, 167-205.
-
(1986)
J. Funct. Anal.
, vol.67
, Issue.2
, pp. 167-205
-
-
Voigt, J.1
-
60
-
-
0000912714
-
Absorption semigroups
-
J. Voigt, Absorption semigroups, J. Oper. Th. 20 (1988), no. 1, 117-131.
-
(1988)
J. Oper. Th.
, vol.20
, Issue.1
, pp. 117-131
-
-
Voigt, J.1
-
61
-
-
0002182320
-
Stetige Abhängigkeit der Eigenwerte und Eigenfunktionen elliptischer Differentialoperatoren vom Gebiet
-
in German
-
J. Weidmann, Stetige Abhängigkeit der Eigenwerte und Eigenfunktionen elliptischer Differentialoperatoren vom Gebiet, Continuous dependence of eigenvalues and eigenfunctions of elliptic differential operators on the domain, Math. Scand. 54 (1984), no. 1, 51-69 (in German).
-
(1984)
Math. Scand.
, vol.54
, Issue.1
, pp. 51-69
-
-
Weidmann, J.1
-
62
-
-
0001117305
-
Das asymptotische Verteilungsgesetz der Eigenwerte linearer partieller Differentialgleichungen (mit einer Anwendung auf die Theorie der Hohlraumstrahlung)
-
in German
-
H. Weyl, Das asymptotische Verteilungsgesetz der Eigenwerte linearer partieller Differentialgleichungen (mit einer Anwendung auf die Theorie der Hohlraumstrahlung), Math. Ann. 71 (1912), 441-479 (in German).
-
(1912)
Math. Ann.
, vol.71
, pp. 441-479
-
-
Weyl, H.1
-
63
-
-
0000532811
-
Reflected Brownian motion: Hunt processes and semimartingale representation
-
Barcelona Seminar on Stochastic Analysis (St. Feliu de Guxols 1991), Birkhäuser, Basel
-
R. J. Williams, Reflected Brownian motion: Hunt processes and semimartingale representation, in: Barcelona Seminar on Stochastic Analysis (St. Feliu de Guxols 1991), Progr. Probab. 32, Birkhäuser, Basel (1993), 216-221.
-
(1993)
Progr. Probab.
, vol.32
, pp. 216-221
-
-
Williams, R.J.1
-
64
-
-
0042390727
-
On reflecting Brownian motion - A weak convergence approach
-
R. J. Williams and W. A. Zheng, On reflecting Brownian motion - a weak convergence approach, Ann. Inst. H. Poincaré Probab. Statist. 26 (1990), no. 3, 461-488.
-
(1990)
Ann. Inst. H. Poincaré Probab. Statist.
, vol.26
, Issue.3
, pp. 461-488
-
-
Williams, R.J.1
Zheng, W.A.2
|