-
1
-
-
0037075612
-
Bose-Einstein condensation of atomic gases
-
J. R. ANGLIN and W. KETTERLE, Bose-Einstein condensation of atomic gases, Nature, 416(2002), pp. 211-218.
-
(2002)
Nature
, vol.416
, pp. 211-218
-
-
ANGLIN, J.R.1
KETTERLE, W.2
-
3
-
-
0037138007
-
On time-splitting spectral approximations for the SchrÖdinger equation in the semiclassical regime
-
W. Z. BAO, S. JIN, and P. MARKOWICH, On time-splitting spectral approximations for the SchrÖdinger equation in the semiclassical regime, J. Comput. Phys., 175 (2002), pp. 487-524.
-
(2002)
J. Comput. Phys
, vol.175
, pp. 487-524
-
-
BAO, W.Z.1
JIN, S.2
MARKOWICH, P.3
-
4
-
-
1842531889
-
Numerical study of time-splitting spectral discretizations of nonlinear SchrÖdinger equations in the semiclassical regimes
-
W. BAO, S. JIN, and P. A. MARKOWICH, Numerical study of time-splitting spectral discretizations of nonlinear SchrÖdinger equations in the semiclassical regimes, SIAM J. Sci. Comput., 25 (2003), pp. 27-64.
-
(2003)
SIAM J. Sci. Comput
, vol.25
, pp. 27-64
-
-
BAO, W.1
JIN, S.2
MARKOWICH, P.A.3
-
5
-
-
18144389899
-
A fourth-order time-splitting Laguerre-Hermite pseudospectral method for Bose-Einstein condensates
-
W. BAO and J. SHEN, A fourth-order time-splitting Laguerre-Hermite pseudospectral method for Bose-Einstein condensates, SIAM J. Sci. Comput., 26 (2005), pp. 2010-2028.
-
(2005)
SIAM J. Sci. Comput
, vol.26
, pp. 2010-2028
-
-
BAO, W.1
SHEN, J.2
-
6
-
-
34250940025
-
Uber die Quantenmechanik der Elektronen in Kristallgittern
-
F. BLOCH, Uber die Quantenmechanik der Elektronen in Kristallgittern, Z. Phys., 52 (1928), pp. 555-600.
-
(1928)
Z. Phys
, vol.52
, pp. 555-600
-
-
BLOCH, F.1
-
7
-
-
0035858479
-
Superfluid and dissipative dynamics of a Bose-Einstein condensate in a periodic optical potential
-
S. BURGER, F. S. CATALIOTTI, C. FORT, F. MINARDI, and M. INGUSCIO, Superfluid and dissipative dynamics of a Bose-Einstein condensate in a periodic optical potential, Phys. Rev. Lett., 86 (2001), pp. 4447-4450.
-
(2001)
Phys. Rev. Lett
, vol.86
, pp. 4447-4450
-
-
BURGER, S.1
CATALIOTTI, F.S.2
FORT, C.3
MINARDI, F.4
INGUSCIO, M.5
-
8
-
-
55149094351
-
-
R. CARLES, P. A. MARKOWICH, and C. SPARBER, Semiclassical asymptotics for weaklynonCopyright by SIAM. Unauthorized reproduction of this article is prohibited.564 Z. HUANG, S. JIN, P. A. MARKOWICH, AND C. SPARBER inear Bloch waves, J. Stat. Phys., 117 (2004), pp. 369-401.
-
R. CARLES, P. A. MARKOWICH, and C. SPARBER, Semiclassical asymptotics for weaklynonCopyright by SIAM. Unauthorized reproduction of this article is prohibited.564 Z. HUANG, S. JIN, P. A. MARKOWICH, AND C. SPARBER inear Bloch waves, J. Stat. Phys., 117 (2004), pp. 369-401.
-
-
-
-
9
-
-
0001082862
-
Bose-Einstein condensates in an optical lattice
-
D. I. CHOI and Q. NIU, Bose-Einstein condensates in an optical lattice, Phys. Rev. Lett. 82(1999), pp. 2022-2025.
-
(1999)
Phys. Rev. Lett
, vol.82
, pp. 2022-2025
-
-
CHOI, D.I.1
NIU, Q.2
-
10
-
-
0346342995
-
Recent progress in Bose-Einstein condensation experiments
-
S. L. CORNISH and D. CASSETTARI, Recent progress in Bose-Einstein condensation experiments, Phil. Trans. R. Soc. Lond. A, 361 (2003), pp. 2699-2713.
-
(2003)
Phil. Trans. R. Soc. Lond. A
, vol.361
, pp. 2699-2713
-
-
CORNISH, S.L.1
CASSETTARI, D.2
-
11
-
-
0041846755
-
Dynamics and stability of Bose-Einstei condensates: The nonlinear Schrodinger equation with periodic potential
-
B. DECONINCK, B. A. FRIGYIK, and J. N. KUTZ, Dynamics and stability of Bose-Einstei condensates: The nonlinear Schrodinger equation with periodic potential, J. Nonlinear Sci., 12 (2002), pp. 169-205.
-
(2002)
J. Nonlinear Sci
, vol.12
, pp. 169-205
-
-
DECONINCK, B.1
FRIGYIK, B.A.2
KUTZ, J.N.3
-
12
-
-
0141680711
-
A Landau-Zener formula for non-degenerated involutive codimension 3 crossings
-
C. FERMANIAN KAMMERER and P. GÉrard, A Landau-Zener formula for non-degenerated involutive codimension 3 crossings, Ann. Henri Poincaré, 4 (2003), pp. 513-552.
-
(2003)
Ann. Henri Poincaré
, vol.4
, pp. 513-552
-
-
FERMANIAN KAMMERER, C.1
GÉrard, P.2
-
13
-
-
55149094573
-
Interaction of Modulated Pulses in theNonlinear SchrÖdinger Equation with Periodic Potential
-
preprint
-
J. GIANOULLIS, A. MIELKE, and C. SPARBER, Interaction of Modulated Pulses in theNonlinear SchrÖdinger Equation with Periodic Potential, preprint, 2007.
-
(2007)
-
-
GIANOULLIS, J.1
MIELKE, A.2
SPARBER, C.3
-
14
-
-
34547167478
-
The numerical spectrum of a one-dimensional Schrodinger operator withtwo competing periodic potentials
-
L. GOSSE, The numerical spectrum of a one-dimensional Schrodinger operator withtwo competing periodic potentials, Commun. Math. Sci., 5 (2007), pp. 485-493.
-
(2007)
Commun. Math. Sci
, vol.5
, pp. 485-493
-
-
GOSSE, L.1
-
15
-
-
3242737651
-
Multiphase semiclassical approximation of an electron in a one-dimensional crystalline lattice - I. Homogeneous pROBLEMS
-
L. GOSSE and P. A. MARKOWICH, Multiphase semiclassical approximation of an electron in a one-dimensional crystalline lattice - I. Homogeneous pROBLEMS, J. Comput. Phys., 197( 2004), pp. 387-417.
-
(2004)
J. Comput. Phys
, vol.197
, pp. 387-417
-
-
GOSSE, L.1
MARKOWICH, P.A.2
-
16
-
-
41449101890
-
A Bloch decomposition-based splitstep pseudospectral method for quantum dynamics with periodic potentials
-
Z. HUANG, S. JIN, P. A. MARKOWICH, and C. SPARBER, A Bloch decomposition-based splitstep pseudospectral method for quantum dynamics with periodic potentials, SIAM J. Sci.Comput., 29 (2007), pp. 515-538.
-
(2007)
SIAM J. Sci.Comput
, vol.29
, pp. 515-538
-
-
HUANG, Z.1
JIN, S.2
MARKOWICH, P.A.3
SPARBER, C.4
-
18
-
-
0028495271
-
Proof of the Landau-Zener formula
-
A. JOYE, Proof of the Landau-Zener formula, Asymptot. Anal., 9 (1994), pp. 20
-
(1994)
Asymptot. Anal
, vol.9
, pp. 20
-
-
JOYE, A.1
-
19
-
-
18544396965
-
Bose-Einstein condensats in 1D optical lattices: Compressibility, Bloch bands and elementary excitations
-
M. KRAEMER, C. MENOTTI, L. PITAEVSKII, and S. STRINGARI, Bose-Einstein condensats in 1D optical lattices: Compressibility, Bloch bands and elementary excitations, Eur. Phys.J. D, 27 (2003), pp. 247-263.
-
(2003)
Eur. Phys.J. D
, vol.27
, pp. 247-263
-
-
KRAEMER, M.1
MENOTTI, C.2
PITAEVSKII, L.3
STRINGARI, S.4
-
20
-
-
0347107495
-
Bosons in a trap: A rigorous derivation of the Gross-Pitaevskii energy functional
-
E. LIEB, R. SEIRINGER, and J. YNGVASON, Bosons in a trap: A rigorous derivation of the Gross-Pitaevskii energy functional, Phys. Rev. A, 61 (2000), 043602.
-
(2000)
Phys. Rev. A
, vol.61
, pp. 043602
-
-
LIEB, E.1
SEIRINGER, R.2
YNGVASON, J.3
-
21
-
-
36449006348
-
A Wigner-function approach to (semi)classical limits: Electrons in a periodic potential
-
P. A. MARKOWICH, N. MAUSER, and F. POUPAUD, A Wigner-function approach to (semi)classical limits: Electrons in a periodic potential, J. Math. Phys., 35 (1994), pp. 1066-1094.
-
(1994)
J. Math. Phys
, vol.35
, pp. 1066-1094
-
-
MARKOWICH, P.A.1
MAUSER, N.2
POUPAUD, F.3
-
22
-
-
0033480955
-
Numerical approximation of quadratic observables of SchrÖdinger-type equations in the semi-classical Limit
-
P. A. MARKOWICH, P. PIETRA, and C. POHL, Numerical approximation of quadratic observables of SchrÖdinger-type equations in the semi-classical Limit, Numer. Math., 81 (1999), pp. 595-630.
-
(1999)
Numer. Math
, vol.81
, pp. 595-630
-
-
MARKOWICH, P.A.1
PIETRA, P.2
POHL, C.3
-
23
-
-
0033312535
-
Semiclassical analysis of discretizations of SchrÖdinger-type equations
-
P. A. MARKOWICH, P. PIETRA, and C. POHL, Semiclassical analysis of discretizations of SchrÖdinger-type equations, VLSI Design, 9 (1999), pp. 397-413.
-
(1999)
VLSI Design
, vol.9
, pp. 397-413
-
-
MARKOWICH, P.A.1
PIETRA, P.2
POHL, C.3
-
24
-
-
0042644305
-
Ultracold atoms and Bose-Einstein condensates in optical lattices
-
Dynamics and Thermodynamics of Systems with Long Range Interactions, T. DAUXOIS, S. RUFFO, E. Arimondo, and M. Wilkens, eds, Springer, New York
-
O. MORSCH and E. ARIMONDO, Ultracold atoms and Bose-Einstein condensates in optical lattices, in Dynamics and Thermodynamics of Systems with Long Range Interactions, Lecture Notes in Phys. 602, T. DAUXOIS, S. RUFFO, E. Arimondo, and M. Wilkens, eds., Springer, New York, 2002, pp. 312-331.
-
(2002)
Lecture Notes in Phys
, vol.602
, pp. 312-331
-
-
MORSCH, O.1
ARIMONDO, E.2
-
25
-
-
5444263589
-
Bose-Einstein Condensation
-
Internat, Clarendon Press, Oxford, UK
-
L. PITAEVSKII and S. STRINGARI, Bose-Einstein Condensation, Internat. Ser. Monogr. Phys. 116, Clarendon Press, Oxford, UK, 2003.
-
(2003)
Ser. Monogr. Phys
, vol.116
-
-
PITAEVSKII, L.1
STRINGARI, S.2
-
27
-
-
33745640744
-
Effective mass theorems for nonlinear Schrodinger equations
-
C. SPARBER, Effective mass theorems for nonlinear Schrodinger equations, SIAM J. Appl.Math., 66 (2006), pp. 820-842.
-
(2006)
SIAM J. Appl.Math
, vol.66
, pp. 820-842
-
-
SPARBER, C.1
-
28
-
-
2942630584
-
Adiabatic Perturbation Theory in Quantum Dynamics
-
Springer, New York
-
S. TEUFEL, Adiabatic Perturbation Theory in Quantum Dynamics, Lecture Notes in Math.1821, Springer, New York, 2003.
-
(1821)
Lecture Notes in Math
-
-
TEUFEL, S.1
-
29
-
-
51249187120
-
Theory of Bloch waves
-
C. H. WILCOX, Theory of Bloch waves, J. Anal. Math., 33 (1978), pp. 146-167.
-
(1978)
J. Anal. Math
, vol.33
, pp. 146-167
-
-
WILCOX, C.H.1
|