-
1
-
-
0000815745
-
Spectral properties of Schrödinger operators and scattering theory
-
Agmon S. Spectral properties of Schrödinger operators and scattering theory. Ann. Scuola Norm. Sup. Pisa Cl. Sci. 4 2 (1975) 151-218
-
(1975)
Ann. Scuola Norm. Sup. Pisa Cl. Sci.
, vol.4
, Issue.2
, pp. 151-218
-
-
Agmon, S.1
-
2
-
-
0003308723
-
Lectures on Exponential Decay of Solutions of Second-Order Elliptic Equations: Bounds on Eigenfunctions of N-body Schrödinger Operators
-
Princeton University Press
-
Agmon S. Lectures on Exponential Decay of Solutions of Second-Order Elliptic Equations: Bounds on Eigenfunctions of N-body Schrödinger Operators. Mathematical Notes vol. 29 (1982), Princeton University Press
-
(1982)
Mathematical Notes
, vol.29
-
-
Agmon, S.1
-
3
-
-
0042883845
-
Notions of controllability for bilinear multilevel quantum systems
-
Albertini F., and D'Alessandro D. Notions of controllability for bilinear multilevel quantum systems. IEEE Trans. Automat. Control 48 8 (2003) 1399-1403
-
(2003)
IEEE Trans. Automat. Control
, vol.48
, Issue.8
, pp. 1399-1403
-
-
Albertini, F.1
D'Alessandro, D.2
-
4
-
-
0035981789
-
Controllability of quantum mechanical systems by root space decomposition of su(n)
-
Altafini C. Controllability of quantum mechanical systems by root space decomposition of su(n). J. Math. Phys. 43 5 (2002) 2051-2062
-
(2002)
J. Math. Phys.
, vol.43
, Issue.5
, pp. 2051-2062
-
-
Altafini, C.1
-
5
-
-
0033471912
-
Adiabatic theorem without a gap condition
-
Avron J.E., and Elgart A. Adiabatic theorem without a gap condition. Comm. Math. Phys. 203 (1999) 445-463
-
(1999)
Comm. Math. Phys.
, vol.203
, pp. 445-463
-
-
Avron, J.E.1
Elgart, A.2
-
6
-
-
23644461902
-
Regularity for a Schrödinger equation with singular potentials and application to bilinear optimal control
-
Baudouin L., Puel J.P., and Kavian O. Regularity for a Schrödinger equation with singular potentials and application to bilinear optimal control. J. Differential Equations 216 (2005) 188-222
-
(2005)
J. Differential Equations
, vol.216
, pp. 188-222
-
-
Baudouin, L.1
Puel, J.P.2
Kavian, O.3
-
7
-
-
29944435252
-
Constructive solutions of a bilinear control problem
-
Baudouin L., and Salomon J. Constructive solutions of a bilinear control problem. C. R. Acad. Sci. Paris, Ser. I 342 2 (2006) 119-124
-
(2006)
C. R. Acad. Sci. Paris, Ser. I
, vol.342
, Issue.2
, pp. 119-124
-
-
Baudouin, L.1
Salomon, J.2
-
8
-
-
20044377637
-
Local controllability of a 1-D Schrödinger equation
-
Beauchard K. Local controllability of a 1-D Schrödinger equation. J. Math. Pures Appl. 84 (2005) 851-956
-
(2005)
J. Math. Pures Appl.
, vol.84
, pp. 851-956
-
-
Beauchard, K.1
-
10
-
-
31744450577
-
Controllability of a quantum particle in a moving potential well
-
Beauchard K., and Coron J.M. Controllability of a quantum particle in a moving potential well. J. Funct. Anal. 232 (2006) 328-389
-
(2006)
J. Funct. Anal.
, vol.232
, pp. 328-389
-
-
Beauchard, K.1
Coron, J.M.2
-
12
-
-
58249137155
-
Controllability of the discrete-spectrum Schrödinger equation driven by an external field
-
Chambrion T., Mason P., Sigalotti M., and Boscain U. Controllability of the discrete-spectrum Schrödinger equation driven by an external field. Ann. I. H. Poincaré - AN 26 (2009) 329-349
-
(2009)
Ann. I. H. Poincaré - AN
, vol.26
, pp. 329-349
-
-
Chambrion, T.1
Mason, P.2
Sigalotti, M.3
Boscain, U.4
-
13
-
-
36449001503
-
Competitive tracking of molecular objectives described by quantum mechanics
-
Chen Y., Gross P., Ramakrishna V., Rabitz H., and Mease K. Competitive tracking of molecular objectives described by quantum mechanics. J. Chem. Phys. 102 (1995) 8001-8010
-
(1995)
J. Chem. Phys.
, vol.102
, pp. 8001-8010
-
-
Chen, Y.1
Gross, P.2
Ramakrishna, V.3
Rabitz, H.4
Mease, K.5
-
14
-
-
0032075414
-
Stabilization of a rotating body-beam without damping
-
Coron J.-M., and d'Andréa Novel B. Stabilization of a rotating body-beam without damping. IEEE Trans. Automat. Control 43 5 (1998) 608-618
-
(1998)
IEEE Trans. Automat. Control
, vol.43
, Issue.5
, pp. 608-618
-
-
Coron, J.-M.1
d'Andréa Novel, B.2
-
15
-
-
33847379688
-
A strict Lyapunov function for boundary control of hyperbolic systems of conservation laws
-
Coron J.-M., d'Andrá Novel B., and Bastin G. A strict Lyapunov function for boundary control of hyperbolic systems of conservation laws. IEEE Trans. Automat. Control 52 1 (2007) 2-11
-
(2007)
IEEE Trans. Automat. Control
, vol.52
, Issue.1
, pp. 2-11
-
-
Coron, J.-M.1
d'Andrá Novel, B.2
Bastin, G.3
-
16
-
-
0026626117
-
Global stabilization for controllable systems without drift
-
Coron J.M. Global stabilization for controllable systems without drift. Math. Control Signals Systems 5 (1992) 295-312
-
(1992)
Math. Control Signals Systems
, vol.5
, pp. 295-312
-
-
Coron, J.M.1
-
17
-
-
0033184240
-
On the null asymptotic stabilization of the two-dimensional incompressible Euler equations in a simply connected domain
-
Coron J.M. On the null asymptotic stabilization of the two-dimensional incompressible Euler equations in a simply connected domain. SIAM J. Control Optim. 37 (1999) 1874-1896
-
(1999)
SIAM J. Control Optim.
, vol.37
, pp. 1874-1896
-
-
Coron, J.M.1
-
18
-
-
49249127518
-
Control and Nonlinearity
-
American Mathematica Society, USA
-
Coron J.M. Control and Nonlinearity. Mathematical Surveys and Monographs vol. 136 (2007), American Mathematica Society, USA
-
(2007)
Mathematical Surveys and Monographs
, vol.136
-
-
Coron, J.M.1
-
19
-
-
33646581689
-
Asymptotic stabilizability by stationary feedback of the two-dimensional Euler equation: The multiconnected case
-
Glass O. Asymptotic stabilizability by stationary feedback of the two-dimensional Euler equation: The multiconnected case. SIAM J. Control Optim. 44 3 (2005) 1105-1147
-
(2005)
SIAM J. Control Optim.
, vol.44
, Issue.3
, pp. 1105-1147
-
-
Glass, O.1
-
20
-
-
55549113656
-
Controllability and asymptotic stabilization of the Camassa-Holm equation
-
preprint
-
O. Glass, Controllability and asymptotic stabilization of the Camassa-Holm equation, preprint, 2007
-
(2007)
-
-
Glass, O.1
-
21
-
-
33746746992
-
Dispersive bounds for the three-dimensional Schrödinger equation with almost critical potentials
-
Goldberg M. Dispersive bounds for the three-dimensional Schrödinger equation with almost critical potentials. Geom. Funct. Anal. 16 3 (2006) 517-536
-
(2006)
Geom. Funct. Anal.
, vol.16
, Issue.3
, pp. 517-536
-
-
Goldberg, M.1
-
22
-
-
7544222374
-
Dispersive estimates for Schrödinger operators in dimensions one and three
-
Goldberg M., and Schlag W. Dispersive estimates for Schrödinger operators in dimensions one and three. Comm. Math. Phys. 251 (2004) 157-178
-
(2004)
Comm. Math. Phys.
, vol.251
, pp. 157-178
-
-
Goldberg, M.1
Schlag, W.2
-
24
-
-
33745623103
-
A counterexample to dispersive estimates for Schrödinger operators in higher dimensions
-
Goldberg M., and Visan M. A counterexample to dispersive estimates for Schrödinger operators in higher dimensions. Comm. Math. Phys. 266 1 (2006) 211-238
-
(2006)
Comm. Math. Phys.
, vol.266
, Issue.1
, pp. 211-238
-
-
Goldberg, M.1
Visan, M.2
-
25
-
-
25644449551
-
Modeling and feedback control design for quantum state preparation
-
Special issue on quantum control
-
Van Handel R., Stockton J.K., and Mabuchi H. Modeling and feedback control design for quantum state preparation. J. Opt. B: Quant. Semiclass. Opt. 7 (2005) S179-S197 Special issue on quantum control
-
(2005)
J. Opt. B: Quant. Semiclass. Opt.
, vol.7
-
-
Van Handel, R.1
Stockton, J.K.2
Mabuchi, H.3
-
27
-
-
84972568716
-
Spectral properties of Schrödinger operators and time-decay of the wave functions
-
Jensen A., and Kato T. Spectral properties of Schrödinger operators and time-decay of the wave functions. Duke Math. J. 46 3 (1979) 583-611
-
(1979)
Duke Math. J.
, vol.46
, Issue.3
, pp. 583-611
-
-
Jensen, A.1
Kato, T.2
-
28
-
-
0036103535
-
p-boundedness of wave operators for two-dimensional Schrödinger operators
-
p-boundedness of wave operators for two-dimensional Schrödinger operators. Comm. Math. Phys. 225 3 (2002) 633-637
-
(2002)
Comm. Math. Phys.
, vol.225
, Issue.3
, pp. 633-637
-
-
Jensen, A.1
Yajima, K.2
-
31
-
-
0001138601
-
Endpoint Strichartz estimates
-
Keel M., and Tao T. Endpoint Strichartz estimates. Amer. J. Math. 5 (1998) 955-980
-
(1998)
Amer. J. Math.
, vol.5
, pp. 955-980
-
-
Keel, M.1
Tao, T.2
-
32
-
-
0037158946
-
Optimal dynamic discrimination of similar molecules through quantum learning control
-
Li B., Turinici G., Ramakrishna V., and Rabitz H. Optimal dynamic discrimination of similar molecules through quantum learning control. J. Phys. Chem. B 106 33 (2002) 8125-8131
-
(2002)
J. Phys. Chem. B
, vol.106
, Issue.33
, pp. 8125-8131
-
-
Li, B.1
Turinici, G.2
Ramakrishna, V.3
Rabitz, H.4
-
33
-
-
84975903449
-
-
M. Mirrahimi, Lyapunov control of a particle in a finite quantum potential well, in: CDC, San Diego, 2006
-
M. Mirrahimi, Lyapunov control of a particle in a finite quantum potential well, in: CDC, San Diego, 2006
-
-
-
-
34
-
-
24944551258
-
Lyapunov control of bilinear Schrödinger equations
-
Mirrahimi M., Rouchon P., and Turinici G. Lyapunov control of bilinear Schrödinger equations. Automatica 41 (2005) 1987-1994
-
(2005)
Automatica
, vol.41
, pp. 1987-1994
-
-
Mirrahimi, M.1
Rouchon, P.2
Turinici, G.3
-
35
-
-
15744392972
-
Reference trajectory tracking for locally designed coherent quantum controls
-
Mirrahimi M., Turinici G., and Rouchon P. Reference trajectory tracking for locally designed coherent quantum controls. J. Phys. Chem. A 109 (2005) 2631-2637
-
(2005)
J. Phys. Chem. A
, vol.109
, pp. 2631-2637
-
-
Mirrahimi, M.1
Turinici, G.2
Rouchon, P.3
-
36
-
-
34548854458
-
Stabilizing feedback controls for quantum systems
-
Mirrahimi M., and Van Handel R. Stabilizing feedback controls for quantum systems. SIAM J. Control Optim. 46 2 (2007) 445-467
-
(2007)
SIAM J. Control Optim.
, vol.46
, Issue.2
, pp. 445-467
-
-
Mirrahimi, M.1
Van Handel, R.2
-
37
-
-
35949007069
-
Controllability of molecular systems
-
Ramakrishna V., Salapaka M., Dahleh M., and Rabitz H. Controllability of molecular systems. Phys. Rev. A 51 2 (1995) 960-966
-
(1995)
Phys. Rev. A
, vol.51
, Issue.2
, pp. 960-966
-
-
Ramakrishna, V.1
Salapaka, M.2
Dahleh, M.3
Rabitz, H.4
-
38
-
-
0039687341
-
Local decay of scattering solutions to Schrödinger's equation
-
Rauch J. Local decay of scattering solutions to Schrödinger's equation. Comm. Math. Phys. 61 2 (1978) 149-168
-
(1978)
Comm. Math. Phys.
, vol.61
, Issue.2
, pp. 149-168
-
-
Rauch, J.1
-
40
-
-
1542508715
-
Time decay for solutions of Schrödinger equations with rough and time-dependent potentials
-
Rodnianski I., and Schlag W. Time decay for solutions of Schrödinger equations with rough and time-dependent potentials. Invent. Math. 155 (2004) 451-513
-
(2004)
Invent. Math.
, vol.155
, pp. 451-513
-
-
Rodnianski, I.1
Schlag, W.2
-
41
-
-
18844449404
-
Dispersive estimates for Schrödinger operators in two dimensions
-
Schlag W. Dispersive estimates for Schrödinger operators in two dimensions. Comm. Math. Phys. 257 1 (2005) 87-117
-
(2005)
Comm. Math. Phys.
, vol.257
, Issue.1
, pp. 87-117
-
-
Schlag, W.1
-
42
-
-
36549097008
-
Optimal control of selective vibrational excitation in harmonic linear chain molecules
-
Shi S., Woody A., and Rabitz H. Optimal control of selective vibrational excitation in harmonic linear chain molecules. J. Chem. Phys. 88 11 (1988) 6870-6883
-
(1988)
J. Chem. Phys.
, vol.88
, Issue.11
, pp. 6870-6883
-
-
Shi, S.1
Woody, A.2
Rabitz, H.3
-
43
-
-
1642336432
-
An estimate for the number of bound states of the Schrödinger operator in two dimensions
-
Stoiciu M. An estimate for the number of bound states of the Schrödinger operator in two dimensions. Proc. Amer. Math. Soc. 132 4 (2004) 1143-1151
-
(2004)
Proc. Amer. Math. Soc.
, vol.132
, Issue.4
, pp. 1143-1151
-
-
Stoiciu, M.1
-
44
-
-
84972553620
-
Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations
-
Strichartz R. Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations. Duke Math. J. 44 3 (1977) 705-714
-
(1977)
Duke Math. J.
, vol.44
, Issue.3
, pp. 705-714
-
-
Strichartz, R.1
-
45
-
-
0038298901
-
General formulation of locally designed coherent control theory for quantum systems
-
Sugawara M. General formulation of locally designed coherent control theory for quantum systems. J. Chem. Phys. 118 15 (2003) 6784-6800
-
(2003)
J. Chem. Phys.
, vol.118
, Issue.15
, pp. 6784-6800
-
-
Sugawara, M.1
-
47
-
-
84975898125
-
-
T.J. Tarn, J.W. Clark, D.G. Lucarelli, Controllability of quantum mechanical systems with continuous spectra, in: CDC, Sydney, 2000
-
T.J. Tarn, J.W. Clark, D.G. Lucarelli, Controllability of quantum mechanical systems with continuous spectra, in: CDC, Sydney, 2000
-
-
-
-
49
-
-
0037436743
-
Wavefunction controllability in quantum systems
-
Turinici G., and Rabitz H. Wavefunction controllability in quantum systems. J. Phys. A 36 (2003) 2565-2576
-
(2003)
J. Phys. A
, vol.36
, pp. 2565-2576
-
-
Turinici, G.1
Rabitz, H.2
-
50
-
-
0002283169
-
′ estimates for the Schrödinger equation on the line and inverse scattering for the nonlinear Schrödinger equation with a potential
-
′ estimates for the Schrödinger equation on the line and inverse scattering for the nonlinear Schrödinger equation with a potential. J. Funct. Anal. 170 1 (2000) 37-68
-
(2000)
J. Funct. Anal.
, vol.170
, Issue.1
, pp. 37-68
-
-
Weder, R.1
-
51
-
-
84972559697
-
k, p-continuity of wave operators for Schrödinger operators
-
k, p-continuity of wave operators for Schrödinger operators. J. Math. Soc. Japan 47 3 (1995) 551-581
-
(1995)
J. Math. Soc. Japan
, vol.47
, Issue.3
, pp. 551-581
-
-
Yajima, K.1
-
52
-
-
0033235580
-
p-boundedness of wave operators for two-dimensional Schrödinger operators
-
p-boundedness of wave operators for two-dimensional Schrödinger operators. Comm. Math. Phys. 208 1 (1999) 125-152
-
(1999)
Comm. Math. Phys.
, vol.208
, Issue.1
, pp. 125-152
-
-
Yajima, K.1
|