-
1
-
-
23744501331
-
Towards a rigorous derivation of the cubic nonlinear Schrödinger equation in dimension one
-
2
-
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
, pp. 93-108
-
-
Adami, R.1
Bardos, C.2
Golse, F.3
Teta, A.4
-
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
-
6
-
-
0000787440
-
The functional calculus
-
1
-
Davies, E.B.: The functional calculus. J. Lond. Math. Soc. (2) 52(1), 166-176 (1995)
-
(1995)
J. Lond. Math. Soc. (2)
, vol.52
, pp. 166-176
-
-
Davies, E.B.1
-
7
-
-
32544436891
-
Gross-Pitaevskii equation as the mean filed limit of weakly coupled bosons
-
2
-
Elgart, A., Erdos, L., Schlein, B., Yau, H.-T.: Gross-Pitaevskii equation as the mean filed limit of weakly coupled bosons. Arch. Rat. Mech. Anal. 179(2), 265-283 (2006)
-
(2006)
Arch. Rat. Mech. Anal.
, vol.179
, pp. 265-283
-
-
Elgart, A.1
Erdos, L.2
Schlein, B.3
Yau, H.-T.4
-
8
-
-
33847732573
-
Mean field dynamics of boson stars
-
To appear. Preprint arXiv:math-ph/0504051
-
Elgart, A., Schlein, B.: Mean field dynamics of boson stars. To appear in Commun. Pure Appl. Math. Preprint arXiv:math-ph/0504051
-
Commun. Pure Appl. Math.
-
-
Elgart, A.1
Schlein, B.2
-
10
-
-
0034418177
-
Linear Boltzmann equation as the weak coupling limit of the random Schrödinger equation
-
Erdos, L., Yau, H.-T.: Linear Boltzmann equation as the weak coupling limit of the random Schrödinger equation. Commun. Pure Appl. Math. 53, 667-735 (2000)
-
(2000)
Commun. Pure Appl. Math.
, vol.53
, pp. 667-735
-
-
Erdos, L.1
Yau, H.-T.2
-
11
-
-
79551496714
-
Derivation of the nonlinear Schrödinger equation from a many body Coulomb system
-
6
-
Erdos, 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
, pp. 1169-1205
-
-
Erdos, L.1
Yau, H.-T.2
-
12
-
-
79959209052
-
Mean-Field Limit of Quantum Bose Gases and Nonlinear Hartree Equation
-
Exp. No. XIX, École Polytech., Palaiseau
-
Fröhlich, J., Lenzmann, E.: Mean-Field Limit of Quantum Bose Gases and Nonlinear Hartree Equation. Séminaire Équations aux Dérivées Partielles. 2003-2004, Exp. No. XIX, École Polytech., Palaiseau (2004)
-
(2004)
Séminaire Équations aux Dérivées Partielles. 2003-2004
-
-
Fröhlich, J.1
Lenzmann, E.2
-
14
-
-
34250400047
-
The classical field limit of scattering theory for non-relativistic many-boson systems, I and II
-
Ginibre, J., Velo, G.: The classical field limit of scattering theory for non-relativistic many-boson systems, I and II. Commun. Math. Phys. 66, 37-76 (1979)
-
(1979)
Commun. Math. Phys.
, vol.66
, pp. 37-76
-
-
Ginibre, J.1
Velo, G.2
-
15
-
-
32544434529
-
-
and Commun. Math. Phys. 68, 45-68 (1979)
-
(1979)
Commun. Math. Phys.
, vol.68
, pp. 45-68
-
-
-
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
-
-
0037193018
-
Proof of Bose-Einstein condensation for dilute trapped gases
-
Lieb, E.H., Seiringer, R.: Proof of Bose-Einstein condensation for dilute trapped gases. Phys. Rev. Lett. 88, 170409 (2002)
-
(2002)
Phys. Rev. Lett.
, vol.88
, pp. 170409
-
-
Lieb, E.H.1
Seiringer, R.2
-
18
-
-
33745832074
-
-
Oberwolfach Seminars, Birkhäuser, Basel
-
Lieb, E.H., Seiringer, R., Solovej, J.-P., Yngvason, J.: The mathematics of the Bose gas and its condensation. Oberwolfach Seminars, Birkhäuser, Basel (2005)
-
(2005)
The Mathematics of the Bose Gas and its Condensation
-
-
Lieb, E.H.1
Seiringer, R.2
Solovej, J.-P.3
Yngvason, J.4
-
19
-
-
33750561118
-
The ground state energy of a dilute Bose gas
-
University of Alabama, Birmingham, Weikard, R., Weinstein, G. (eds.). Am. Math. Soc./Internat. Press, Providence, RI
-
Lieb, E.H., Yngvason, J.: The ground state energy of a dilute Bose gas. Differential Equations and Mathematical Physics, University of Alabama, Birmingham (1999), Weikard, R., Weinstein, G. (eds.), pp. 295-306. Am. Math. Soc./Internat. Press, Providence, RI (2000)
-
(1999)
Differential Equations and Mathematical Physics
, pp. 295-306
-
-
Lieb, E.H.1
Yngvason, J.2
-
20
-
-
0003687441
-
-
Academic Press, New-York, London
-
Reed, M., Simon, B.: Methods of Mathematical Physics. Vol. I. Academic Press, New-York, London (1975)
-
(1975)
Methods of Mathematical Physics
, vol.1
-
-
Reed, M.1
Simon, B.2
-
21
-
-
0004057553
-
-
McGraw-Hill Series in Higher Mathematics, McGraw-Hill Book Co., New York
-
Rudin, W.: Functional analysis. McGraw-Hill Series in Higher Mathematics, McGraw-Hill Book Co., New York (1973)
-
(1973)
Functional Analysis
-
-
Rudin, W.1
-
23
-
-
35949020007
-
Kinetic equations from hamiltonian dynamics
-
3
-
Spohn, H.: Kinetic equations from hamiltonian dynamics. Rev. Mod. Phys. 52(3), 569-615 (1980)
-
(1980)
Rev. Mod. Phys.
, vol.52
, pp. 569-615
-
-
Spohn, H.1
-
24
-
-
0007072334
-
Upper bounds on scattering lengths for static potentials
-
4
-
Spruch, L., Rosenberg, L.: Upper bounds on scattering lengths for static potentials. Phys. Rev. 116(4), 1034-1040 (1959)
-
(1959)
Phys. Rev.
, vol.116
, pp. 1034-1040
-
-
Spruch, L.1
Rosenberg, L.2
|