-
1
-
-
23744501331
-
Towards a rigorous derivation of the cubic nonlinear Schrödinger equation in dimension one
-
Adami, R., Bardos, C., Golse, F., Teta, A.: Towards a rigorous derivation of the cubic nonlinear Schrödinger equation in dimension one. Asymptot. Anal. 40(2), 93-108 (2004)
-
(2004)
Asymptot. Anal
, vol.40
, Issue.2
, pp. 93-108
-
-
Adami, R.1
Bardos, C.2
Golse, F.3
Teta, A.4
-
2
-
-
34249868461
-
Rigorous derivation of the cubic NLS in dimension one
-
Adami, R., Golse, F., Teta, A.: Rigorous derivation of the cubic NLS in dimension one. J. Stat. Phys. 127(6), 1193-1220 (2007)
-
(2007)
J. Stat. Phys
, vol.127
, Issue.6
, pp. 1193-1220
-
-
Adami, R.1
Golse, F.2
Teta, A.3
-
3
-
-
0013502647
-
Weak coupling limit of the N-particle Schrödinger equation
-
Bardos, C., Golse, F., Mauser, N.: Weak coupling limit of the N-particle Schrödinger equation. Methods Appl. Anal. 7, 275-293 (2000)
-
(2000)
Methods Appl. Anal
, vol.7
, pp. 275-293
-
-
Bardos, C.1
Golse, F.2
Mauser, N.3
-
4
-
-
32544436891
-
Gross-Pitaevskii equation as the mean filed limit of weakly coupled bosons
-
Elgart, A., Erdó́s, L., Schlein, B., Yau, H.-T.: Gross-Pitaevskii equation as the mean filed limit of weakly coupled bosons. Arch. Ration. Mech. Anal. 179(2), 265-283 (2006)
-
(2006)
Arch. Ration. Mech. Anal
, vol.179
, Issue.2
, pp. 265-283
-
-
Elgart, A.1
Erdó́s, L.2
Schlein, B.3
Yau, H.-T.4
-
5
-
-
33847732573
-
Mean field dynamics of boson stars
-
Elgart, A., Schlein, B.: Mean field dynamics of boson stars. Commun. Pure Appl. Math. 60(4), 500-545 (2007)
-
(2007)
Commun. Pure Appl. Math
, vol.60
, Issue.4
, pp. 500-545
-
-
Elgart, A.1
Schlein, B.2
-
6
-
-
33750551506
-
Derivation of the Gross-Pitaevskii hierarchy for the dynamics of Bose-Einstein condensate
-
Erdó́s, L., Schlein, B., Yau, H.-T.: Derivation of the Gross-Pitaevskii hierarchy for the dynamics of Bose-Einstein condensate. Commun. Pure Appl. Math. 59(12), 1659-1741 (2006)
-
(2006)
Commun. Pure Appl. Math
, vol.59
, Issue.12
, pp. 1659-1741
-
-
Erdó́s, L.1
Schlein, B.2
Yau, H.-T.3
-
7
-
-
33846807694
-
Derivation of the cubic non-linear Schrödinger equation from quantum dynamics of many-body systems
-
Erdó́s, L., Schlein, B., Yau, H.-T.: Derivation of the cubic non-linear Schrödinger equation from quantum dynamics of many-body systems. Invent. Math. 167, 515-614 (2007)
-
(2007)
Invent. Math
, vol.167
, pp. 515-614
-
-
Erdó́s, L.1
Schlein, B.2
Yau, H.-T.3
-
8
-
-
67349152419
-
-
Erdó́s, L., Schlein, B., Yau, H.-T.: Derivation of the Gross-Pitaevskii equation for the dynamics of Bose-Einstein condensate. Ann. Math. (to appear). Preprint arXiv:math-ph/0606017
-
Erdó́s, L., Schlein, B., Yau, H.-T.: Derivation of the Gross-Pitaevskii equation for the dynamics of Bose-Einstein condensate. Ann. Math. (to appear). Preprint arXiv:math-ph/0606017
-
-
-
-
9
-
-
33846513884
-
Rigorous derivation of the Gross-Pitaevskii equation
-
Erdó́s, L., Schlein, B., Yau, H.-T.: Rigorous derivation of the Gross-Pitaevskii equation. Phys. Rev Lett. 98(4), 040404 (2007)
-
(2007)
Phys. Rev Lett
, vol.98
, Issue.4
, pp. 040404
-
-
Erdó́s, L.1
Schlein, B.2
Yau, H.-T.3
-
10
-
-
67349181392
-
-
Erdó́s, L., Schlein, B., Yau, H.-T.: Rigorous derivation of the Gross-Pitaevskii equation: the case of a strong potential. Preprint arXiv:0802.3877
-
Erdó́s, L., Schlein, B., Yau, H.-T.: Rigorous derivation of the Gross-Pitaevskii equation: the case of a strong potential. Preprint arXiv:0802.3877
-
-
-
-
11
-
-
79551496714
-
Derivation of the nonlinear Schrödinger equation from a many body Coulomb system
-
Erdó́s, L., Yau, H.-T.: Derivation of the nonlinear Schrödinger equation from a many body Coulomb system. Adv. Theor. Math. Phys. 5(6), 1169-1205 (2001)
-
(2001)
Adv. Theor. Math. Phys
, vol.5
, Issue.6
, pp. 1169-1205
-
-
Erdó́s, L.1
Yau, H.-T.2
-
12
-
-
33947404010
-
Mean-field- and classical limit of many body Schrödinger dynamics for bosons
-
Fröhlich, J., Graffi, S., Schwarz, S.: Mean-field- and classical limit of many body Schrödinger dynamics for bosons. Commun. Math. Phys. 271(3), 681-697 (2007)
-
(2007)
Commun. Math. Phys
, vol.271
, Issue.3
, pp. 681-697
-
-
Fröhlich, J.1
Graffi, S.2
Schwarz, S.3
-
13
-
-
37049009679
-
Atomism and quantization
-
Fröhlich, J., Knowles, A., Pizzo, A.: Atomism and quantization. J. Phys. A 40(12), 3033-3045 (2007)
-
(2007)
J. Phys. A
, vol.40
, Issue.12
, pp. 3033-3045
-
-
Fröhlich, J.1
Knowles, A.2
Pizzo, A.3
-
14
-
-
34250400047
-
-
Ginibre, J., Velo, G.: The classical field limit of scattering theory for non-relativistic many-boson systems, I. Commun. Math. Phys. 66, 37-76 (1979)
-
Ginibre, J., Velo, G.: The classical field limit of scattering theory for non-relativistic many-boson systems, I. Commun. Math. Phys. 66, 37-76 (1979)
-
-
-
-
15
-
-
32544434529
-
The classical field limit of scattering theory for non-relativistic many-boson systems, II
-
Ginibre, J., Velo, G.: The classical field limit of scattering theory for non-relativistic many-boson systems, II. Commun. Math. Phys. 68, 45-68 (1979)
-
(1979)
Commun. Math. Phys
, vol.68
, pp. 45-68
-
-
Ginibre, J.1
Velo, G.2
-
16
-
-
33846791634
-
The classical limit for quantum mechanical correlation functions
-
Hepp, K.: The classical limit for quantum mechanical correlation functions. Commun. Math. Phys. 35, 265-277 (1974)
-
(1974)
Commun. Math. Phys
, vol.35
, pp. 265-277
-
-
Hepp, K.1
-
17
-
-
0011320769
-
The finite group velocity of quantum spin systems
-
Lieb, E.H., Robinson, D.W.: The finite group velocity of quantum spin systems. Commun. Math. Phys. 28, 251-257 (1972)
-
(1972)
Commun. Math. Phys
, vol.28
, pp. 251-257
-
-
Lieb, E.H.1
Robinson, D.W.2
-
18
-
-
33646729744
-
Lieb-Robinson bounds and the exponential clustering theorem
-
Nachtergaele, B., Sims, R.: Lieb-Robinson bounds and the exponential clustering theorem. Commun. Math. Phys. 265, 119-130 (2006)
-
(2006)
Commun. Math. Phys
, vol.265
, pp. 119-130
-
-
Nachtergaele, B.1
Sims, R.2
-
19
-
-
33748045156
-
Propagation of correlations in quantum lattice systems
-
Nachtergaele, B., Ogata, Y., Sims, R.: Propagation of correlations in quantum lattice systems. J. Stat. Phys. 124(1), 1-13 (2006)
-
(2006)
J. Stat. Phys
, vol.124
, Issue.1
, pp. 1-13
-
-
Nachtergaele, B.1
Ogata, Y.2
Sims, R.3
-
20
-
-
67349217468
-
-
Nachtergaele, B., Raz, H., Schlein, B., Sims, R.: Lieb-Robinson bounds for harmonic and anharmonic lattice systems. Preprint arXiv:0712.3820
-
Nachtergaele, B., Raz, H., Schlein, B., Sims, R.: Lieb-Robinson bounds for harmonic and anharmonic lattice systems. Preprint arXiv:0712.3820
-
-
-
-
21
-
-
67349249421
-
-
Rodnianski, I., Schlein, B.: Quantum fluctuations and rate of convergence towards mean field dynamics. Preprint arXiv:0711.3087
-
Rodnianski, I., Schlein, B.: Quantum fluctuations and rate of convergence towards mean field dynamics. Preprint arXiv:0711.3087
-
-
-
-
22
-
-
35949020007
-
Kinetic equations from Hamiltonian dynamics
-
Spohn, H.: Kinetic equations from Hamiltonian dynamics. Rev. Mod. Phys. 52(3), 569-615 (1980)
-
(1980)
Rev. Mod. Phys
, vol.52
, Issue.3
, pp. 569-615
-
-
Spohn, H.1
|