-
1
-
-
0001324593
-
Localization at weak disorder: Some elementary bounds
-
Aizenman, M.: Localization at weak disorder: some elementary bounds. Rev. Math. Phys. 6, 1163 (1994).
-
(1994)
Rev. Math. Phys
, vol.6
, pp. 1163
-
-
Aizenman, M.1
-
2
-
-
0032516668
-
Localization bounds for an electron gas
-
Aizenman, M., Graf, G.-M.: Localization bounds for an electron gas. J. Phys., A, Math. Gen. 31, 6783 (1998).
-
(1998)
J. Phys., A, Math. Gen
, vol.31
, pp. 6783
-
-
Aizenman, M.1
Graf, G.-M.2
-
3
-
-
30544454224
-
Moment analysis for localization in random Schrödinger operators
-
Aizenman, M., Elgart, A., Naboko, S., Schenker, J., Stolz, G.: Moment analysis for localization in random Schrödinger operators. Invent. Math. 163, 343-413 (2006).
-
(2006)
Invent. Math
, vol.163
, pp. 343-413
-
-
Aizenman, M.1
Elgart, A.2
Naboko, S.3
Schenker, J.4
Stolz, G.5
-
4
-
-
21344491724
-
Localization at large disorder and at extreme energies: An elementary derivation
-
Aizenman, M., Molchanov, S.: Localization at large disorder and at extreme energies: an elementary derivation. Commun. Math. Phys. 157, 245-278 (1993).
-
(1993)
Commun. Math. Phys
, vol.157
, pp. 245-278
-
-
Aizenman, M.1
Molchanov, S.2
-
5
-
-
0035643446
-
Finite-volume fractionalmoment criteria for Anderson localization
-
Aizenman, M., Schenker, J., Friedrich, R., Hundertmark, D.: Finite-volume fractionalmoment criteria for Anderson localization. Commun. Math. Phys. 224, 219-253 (2001).
-
(2001)
Commun. Math. Phys
, vol.224
, pp. 219-253
-
-
Aizenman, M.1
Schenker, J.2
Friedrich, R.3
Hundertmark, D.4
-
6
-
-
0000528931
-
Absence of localization in energy space of a Bloch electron driven by a constant electric force
-
Ao, P.: Absence of localization in energy space of a Bloch electron driven by a constant electric force. Phys. Rev., B 41, 3998-4001 (1989).
-
(1989)
Phys. Rev., B
, vol.41
, pp. 3998-4001
-
-
Ao, P.1
-
7
-
-
0032163923
-
Stability of driven systems with growing gaps, quantum rings, and Wannier ladders
-
Asch, J., Duclos, P., Exner, P.: Stability of driven systems with growing gaps, quantum rings, and Wannier ladders. J. Stat. Phys. 92, 1053-1070 (1998).
-
(1998)
J. Stat. Phys
, vol.92
, pp. 1053-1070
-
-
Asch, J.1
Duclos, P.2
Exner, P.3
-
8
-
-
0035315346
-
On the dynamics of crystal electrons, high momentum regime
-
Asch, J., Bentosela, F., Duclos, P., Nenciu, G.: On the dynamics of crystal electrons, high momentum regime. J. Math. Anal. Appl. 256, 99-114 (2001).
-
(2001)
J. Math. Anal. Appl
, vol.256
, pp. 99-114
-
-
Asch, J.1
Bentosela, F.2
Duclos, P.3
Nenciu, G.4
-
9
-
-
84893901582
-
-
In: Albeverio, S., Blanchard, P. (eds.) Trends and Developments in the Eighties,. World Scientific, Singapore
-
Bellissard, J.: Stability and instability in quantum mechanics. In: Albeverio, S., Blanchard, P. (eds.) Trends and Developments in the Eighties, pp. 1-106. World Scientific, Singapore (1985).
-
(1985)
Stability and instability in quantum mechanics
, pp. 1-106
-
-
Bellissard, J.1
-
10
-
-
84893984241
-
-
In: Albeverio, S., Casati, G., Merlini, D. (eds.) Stochastic Processes in Classical and Quantum Systems. Springer, New York
-
Bellissard, J.: Stability and chaotic behaviour in quantum rotators. In: Albeverio, S., Casati, G., Merlini, D. (eds.) Stochastic Processes in Classical and Quantum Systems. Springer, New York (1986).
-
(1986)
Stability and chaotic behaviour in quantum rotators
-
-
Bellissard, J.1
-
11
-
-
0012485242
-
Zener tunneling and localization in small conducting rings
-
Blatter, G., Browne, D.: Zener tunneling and localization in small conducting rings. Phys. Rev., B 37, 3856 (1988).
-
(1988)
Phys. Rev., B
, vol.37
, pp. 3856
-
-
Blatter, G.1
Browne, D.2
-
12
-
-
10144231444
-
Singular continuous Floquet operator for periodic quantum systems
-
Bourget, O.: Singular continuous Floquet operator for periodic quantum systems. J. Math. Anal. Appl. 301(1), 65-83 (2005).
-
(2005)
J. Math. Anal. Appl
, vol.301
, Issue.1
, pp. 65-83
-
-
Bourget, O.1
-
13
-
-
0037345283
-
Spectral analysis of unitary band matrices
-
Bourget, O., Howland, J. S., Joye, A.: Spectral analysis of unitary band matrices. Commun. Math. Phys. 234, 191-227 (2003).
-
(2003)
Commun. Math. Phys
, vol.234
, pp. 191-227
-
-
Bourget, O.1
Howland, J.S.2
Joye, A.3
-
14
-
-
34247469755
-
Localization near fluctuation boundaries via fractional moments and applications
-
Boutet de Monvel, A., Naboko, S., Stollmann, P., Stolz, G.: Localization near fluctuation boundaries via fractional moments and applications. J. Anal. Math. 100, 83-116 (2006).
-
(2006)
J. Anal. Math
, vol.100
, pp. 83-116
-
-
Boutet de Monvel, A.1
Naboko, S.2
Stollmann, P.3
Stolz, G.4
-
15
-
-
0000458017
-
Diffusive energy growth in classical and quantum driven oscillators
-
Bunimovich, L., Jauslin, H. R., Lebowitz, J. L., Pellegrinotti, A., Nielaba, P.: Diffusive energy growth in classical and quantum driven oscillators. J. Stat. Phys. 62, 793 (1991).
-
(1991)
J. Stat. Phys
, vol.62
, pp. 793
-
-
Bunimovich, L.1
Jauslin, H.R.2
Lebowitz, J.L.3
Pellegrinotti, A.4
Nielaba, P.5
-
16
-
-
0002362803
-
Anderson localization for Bernoulli and other singular potentials
-
Carmona, R., Klein, A., Martinelli, F.: Anderson localization for Bernoulli and other singular potentials. Commun. Math. Phys. 108, 41-66 (1987).
-
(1987)
Commun. Math. Phys
, vol.108
, pp. 41-66
-
-
Carmona, R.1
Klein, A.2
Martinelli, F.3
-
18
-
-
0001690092
-
Search for randomness in the kicked quantum rotator
-
Casati, G., Ford, J., Guarneri, I., Vivaldi, F.: Search for randomness in the kicked quantum rotator. Phys. Rev., A 34(2), 1413 (1986).
-
(1986)
Phys. Rev., A
, vol.34
, Issue.2
, pp. 1413
-
-
Casati, G.1
Ford, J.2
Guarneri, I.3
Vivaldi, F.4
-
19
-
-
33847654434
-
Asymptotic behaviour of eigenfunctions for multiparticle Schrödinger operators
-
Combes, J. M., Thomas, L.: Asymptotic behaviour of eigenfunctions for multiparticle Schrödinger operators. Commun. Math. Phys. 34, 251-270 (1973).
-
(1973)
Commun. Math. Phys
, vol.34
, pp. 251-270
-
-
Combes, J.M.1
Thomas, L.2
-
20
-
-
84956097442
-
Spectral properties of quantum diffusion on discrete lattices
-
Guarneri, I.: Spectral properties of quantum diffusion on discrete lattices. Europhys. Lett. 10, 95-100 (1989).
-
(1989)
Europhys. Lett
, vol.10
, pp. 95-100
-
-
Guarneri, I.1
-
21
-
-
0001520106
-
Spectral properties of a periodically kicked quantum Hamiltonian
-
Combescure, M.: Spectral properties of a periodically kicked quantum Hamiltonian. J. Stat. Phys. 59, 679 (1990).
-
(1990)
J. Stat. Phys
, vol.59
, pp. 679
-
-
Combescure, M.1
-
22
-
-
0002192505
-
Recurrent versus diffusive dynamics for a kicked quantum oscillator
-
Combescure, M.: Recurrent versus diffusive dynamics for a kicked quantum oscillator. Ann. Inst. Henri Poincaré 57, 67-87 (1992).
-
(1992)
Ann. Inst. Henri Poincaré
, vol.57
, pp. 67-87
-
-
Combescure, M.1
-
23
-
-
0035634523
-
Multiscale analysis implies strong dynamical localization
-
Damanik, D., Stollmann, P.: Multiscale analysis implies strong dynamical localization. Geom. Funct. Anal. 11, 11-29, (2001).
-
(2001)
Geom. Funct. Anal
, vol.11
, pp. 11-29
-
-
Damanik, D.1
Stollmann, P.2
-
24
-
-
0039243553
-
Transport properties of kicked and quasiperiodic Hamiltonians
-
DeBièvre, S., Forni, G.; Transport properties of kicked and quasiperiodic Hamiltonians. J. Stat. Phys. 90, 1201-1223 (1998).
-
(1998)
J. Stat. Phys
, vol.90
, pp. 1201-1223
-
-
DeBièvre, S.1
Forni, G.2
-
25
-
-
0001320046
-
Inverses of band matrices and local convergence of spline projections
-
Demko, S.: Inverses of band matrices and local convergence of spline projections. SIAM J. Numer. Anal. 14, 616-619 (1977).
-
(1977)
SIAM J. Numer. Anal
, vol.14
, pp. 616-619
-
-
Demko, S.1
-
26
-
-
21844522635
-
On kicked systems modulated along the Thue-Morse sequence
-
de Oliveira, C. R.: On kicked systems modulated along the Thue-Morse sequence. J. Phys. A 27, 847-851 (1994).
-
(1994)
J. Phys. A
, vol.27
, pp. 847-851
-
-
de Oliveira, C.R.1
-
27
-
-
38849181156
-
A floquet operator with purely point spectrum and energy instability
-
de Oliveira, C. R., Simsen, M. S.: A floquet operator with purely point spectrum and energy instability. Ann. Henri Poincaré 7, 1255-1277 (2008).
-
(2008)
Ann. Henri Poincaré
, vol.7
, pp. 1255-1277
-
-
de Oliveira, C.R.1
Simsen, M.S.2
-
28
-
-
47049100844
-
On the stability of periodically time-dependent quantum systems
-
Duclos, P., Soccorsi, E., Stovicek, P., Vittot, M.: On the stability of periodically time-dependent quantum systems. Rev. Math. Phys. 20, 6 (2008).
-
(2008)
Rev. Math. Phys
, vol.20
, pp. 6
-
-
Duclos, P.1
Soccorsi, E.2
Stovicek, P.3
Vittot, M.4
-
29
-
-
0000280495
-
Operators with singular continuous spectrum IV: Hausdorff dimensions, rank one perturbations and localization
-
del Rio, R., Jitomirskaya, S., Last, Y., Simon, B.: Operators with singular continuous spectrum IV: Hausdorff dimensions, rank one perturbations and localization. J. Anal. Math. 69, 153 (1996).
-
(1996)
J. Anal. Math
, vol.69
, pp. 153
-
-
del Rio, R.1
Jitomirskaya, S.2
Last, Y.3
Simon, B.4
-
30
-
-
0000055903
-
Bound states and propagating states for time dependent Hamiltonians
-
Enss, V., Veselic, K.; Bound states and propagating states for time dependent Hamiltonians. Ann. Inst. Henri Poincaré, Ser. A 39, 159-191 (1983).
-
(1983)
Ann. Inst. Henri Poincaré, Ser. A
, vol.39
, pp. 159-191
-
-
Enss, V.1
Veselic, K.2
-
31
-
-
0040163789
-
Dynamical localization for discrete and continuous random Schrödinger operators
-
Germinet, F., DeBièvre, S.: Dynamical localization for discrete and continuous random Schrödinger operators. Commun. Math. Phys. 194, 323 (1998).
-
(1998)
Commun. Math. Phys
, vol.194
, pp. 323
-
-
Germinet, F.1
DeBièvre, S.2
-
32
-
-
4644231405
-
A characterization of the Anderson metal-insulator transport transition
-
Germinet, F., Klein, A.: A characterization of the Anderson metal-insulator transport transition. Duke Math. J. 124, 309-351 (2004).
-
(2004)
Duke Math. J
, vol.124
, pp. 309-351
-
-
Germinet, F.1
Klein, A.2
-
33
-
-
21344482002
-
Anderson localization and the space-time characteristic of continuum states
-
Graf, G. M.: Anderson localization and the space-time characteristic of continuum states. J. Stat. Phys. 75, 337-346 (1994).
-
(1994)
J. Stat. Phys
, vol.75
, pp. 337-346
-
-
Graf, G.M.1
-
35
-
-
33644690321
-
Localization for random unitary operators
-
Hamza, E., Joye, A., Stolz, G.: Localization for random unitary operators. Lett. Math. Phys. 75, 255-272 (2006).
-
(2006)
Lett. Math. Phys
, vol.75
, pp. 255-272
-
-
Hamza, E.1
Joye, A.2
Stolz, G.3
-
36
-
-
34247594524
-
Lyapunov exponents for unitary Anderson models
-
Hamza, E., Stolz, G.: Lyapunov exponents for unitary Anderson models. J. Math. Phys. 48, 043301 (2007).
-
(2007)
J. Math. Phys
, vol.48
, pp. 043301
-
-
Hamza, E.1
Stolz, G.2
-
37
-
-
0001748527
-
Scattering theory for Hamiltonians periodic in time
-
Howland, J.: Scattering theory for Hamiltonians periodic in time. Indiana Univ. Math. J. 28, 471-494 (1979).
-
(1979)
Indiana Univ. Math. J
, vol.28
, pp. 471-494
-
-
Howland, J.1
-
38
-
-
0010811815
-
-
In: Baslev, E. (ed.) Lecture Notes in Physics, vol. 403
-
Howland, J.: Quantum stability. In: Baslev, E. (ed.) Lecture Notes in Physics, vol. 403, pp. 100-122 (1992).
-
(1992)
Quantum stability
, pp. 100-122
-
-
Howland, J.1
-
39
-
-
0001387485
-
Spectral and stability aspects of quantum chaos
-
Jauslin, H. R., Lebowitz, J. L.: Spectral and stability aspects of quantum chaos. Chaos 1, 114-121 (1991).
-
(1991)
Chaos
, vol.1
, pp. 114-121
-
-
Jauslin, H.R.1
Lebowitz, J.L.2
-
40
-
-
2442500520
-
Density of states and Thouless formula for random unitary band matrices
-
Joye, A.: Density of states and Thouless formula for random unitary band matrices. Ann. Henri Poincaré 5, 347-379 (2004).
-
(2004)
Ann. Henri Poincaré
, vol.5
, pp. 347-379
-
-
Joye, A.1
-
41
-
-
21244468633
-
Fractional moment estimates for random unitary band matrices
-
Joye, A.: Fractional moment estimates for random unitary band matrices. Lett. Math. Phys. 72, 51-64 (2005).
-
(2005)
Lett. Math. Phys
, vol.72
, pp. 51-64
-
-
Joye, A.1
-
43
-
-
0001097161
-
Sur le spectre des opérateurs aux différences finies aléatoires
-
Kunz, H., Souillard, B.: Sur le spectre des opérateurs aux différences finies aléatoires. Commun. Math. Phys 78, 201 (1980).
-
(1980)
Commun. Math. Phys
, vol.78
, pp. 201
-
-
Kunz, H.1
Souillard, B.2
-
44
-
-
4243312426
-
Elastic scattering in a normal-metal loop causing resistive electronic behavior
-
Lenstra, D., van Haeringen, W.: Elastic scattering in a normal-metal loop causing resistive electronic behavior. Phys. Rev. Lett. 57, 1623-1626 (1986).
-
(1986)
Phys. Rev. Lett
, vol.57
, pp. 1623-1626
-
-
Lenstra, D.1
van Haeringen, W.2
-
45
-
-
17744400134
-
Pure point spectrum for the time evolution of a periodically rank-N kicked Hamiltonian
-
McCaw, J., McKellar, B. H. J.: Pure point spectrum for the time evolution of a periodically rank-N kicked Hamiltonian. J. Math. Phys. 46, 032108 (2005).
-
(2005)
J. Math. Phys
, vol.46
, pp. 032108
-
-
McCaw, J.1
McKellar, B.H.J.2
-
48
-
-
51349098993
-
-
Phys. Rev., E, 037201
-
Ryu, J.-W., Hur, G., Kim, S. W.: Quantum localization in open chaotic systems. Phys. Rev., E, 037201 (2008).
-
(2008)
Quantum localization in open chaotic systems
-
-
Ryu, J.-W.1
Hur, G.2
Kim, S.W.3
-
51
-
-
29644443613
-
Aizenman's theorem for orthogonal polynomials on the unit circle
-
Simon, B.: Aizenman's theorem for orthogonal polynomials on the unit circle. Constr. Approx. 23, 229-240 (2006).
-
(2006)
Constr. Approx
, vol.23
, pp. 229-240
-
-
Simon, B.1
-
52
-
-
34547699981
-
CMV matrices: Five years after
-
Simon, B.: CMV matrices: five years after. J. Comput. Appl. Math. 208, 120-154 (2007).
-
(2007)
J. Comput. Appl. Math
, vol.208
, pp. 120-154
-
-
Simon, B.1
-
53
-
-
0001522675
-
Absence of ballistic motion
-
Simon, B.: Absence of ballistic motion. Commun. Math. Phys. 134, 209-212 (1990).
-
(1990)
Commun. Math. Phys
, vol.134
, pp. 209-212
-
-
Simon, B.1
-
54
-
-
84990576488
-
Singular continuous spectrum under rank one perturbations and localization for random Hamiltonians
-
Simon, B., Wolff, T.: Singular continuous spectrum under rank one perturbations and localization for random Hamiltonians. Commun. Pure Appl. Math. 39, 75-90 (1986).
-
(1986)
Commun. Pure Appl. Math
, vol.39
, pp. 75-90
-
-
Simon, B.1
Wolff, T.2
-
57
-
-
84972500780
-
Scattering theory for Schrödinger equations with potential periodic in time
-
Yajima, K.: Scattering theory for Schrödinger equations with potential periodic in time. J. Math. Soc. Jpn. 29, 729-743 (1977).
-
(1977)
J. Math. Soc. Jpn
, vol.29
, pp. 729-743
-
-
Yajima, K.1
|